2,300 research outputs found
Orthosia (Orthosia) ronkayorum Volynkin & Titov, sp. n.
No full textOrthosia (Orthosia) ronkayorum Volynkin & Titov, sp. n. (Figs 1–4, 11, 12, 17, 21, 22) Type material. Holotype: male, 08.v. 2013, NE Kazakhstan, Pavlodar area, Ekibastuz district, 12 km NW Shiderty village, coast of Shiderty Reservoir, 51 ° 47 '54.21" N, 74 ° 35 '11.57" E, Volynkin A.V. & Titov S.V. leg. (Coll. Zoological Institute, Russian Academy of Sciences, St. Petersburg, Russia [ZISP]). Slide AV0855 Volynkin. Paratypes: 1 female, with the same data as holotype (Coll. A. V. Volynkin, Barnaul, Russia [AVB]); 15 males, 1 female, 19.iv. 2012, NE Kazakhstan, Pavlodar area, Ekibastuz district, 11–12 km NW Shiderty, 51 ° 48 ' N, 74 ° 35 ' E, S.V. Titov leg. (Colls. ZISP; AVB; S. V. Titov, Pavlodar, Kazakhstan [STP]). Slides AV0845 Volynkin (male), AV0846 Volynkin (female). Diagnosis. The species belongs to the O. incerta species-group. It is the northernmost species of the O. picata lineage which includes five described species: O. picata (Bang-Haas, 1912) (Figs. 5 –7), O. faqiri Hreblay & Plante, 1994, O. feda Hreblay & Plante, 1994, O. ariuna Hreblay, 1991 (Fig. 8) and O. reshoefti Hreblay, 1994. O. ronkayorum is closely related to Central Asian O. picata and O. ariuna. It is the smallest species of the group. As well as other members of the group, it is an externally variable species, and other than its small size the remaining differences are in the genitalia; in addition, O. ronkayorum has relatively smaller eyes than the related species O. picata. The male genitalia of O. ronkayorum (Figs 11, 12) are most similar to those of O. picata (Figs 13, 14), but differ by longer and medially broader uncus, narrower juxta, longer vinculum, somewhat narrower apical part of cucullus, narrower basal part of pollex, smaller clavus, broader distal part of clasper and somewhat shorter thorn of carina; from other Central Asian species of the group – Mongolian O. ariuna (Fig. 15), the male genitalia of the new species differ by broader medial part of uncus, narrower juxta, somewhat shorter vinculum, smaller cucullus with narrower neck, narrower and longer pollex, smaller clavus, broader distal part of clasper, broader lateral bar of carina and longer thorn of carina; from Pakistanian O. faqiri and O. feda (figured by Hreblay & Plante 1994) the male genitalia of O. ronkayorum differ by broader medial part of uncus, somewhat narrower juxta, longer vinculum, narrower valva, smaller cucullus with narrower neck, narrower basal part of pollex, smaller clavus, broader distal part of clasper, larger lateral bar of carina and longer thorn of carina; from O. incerta (Hufnagel, 1766) (Figs. 9, 10, 16) which occur sympatrically in North-East Kazakhstan, the male genitalia of O. ronkayorum differ by apically pointed uncus, shorter and narrower juxta, longer vinculum, smaller and narrower cucullus, narrower pollex, smaller clavus, broader lateral bar of carina and shorter thorn of carina. In the female genitalia O. ronkayorum (Fig. 17) differs from O. picata (Fig. 18) by less sclerotised ostium bursae, somewhat shorter ductus bursae, shorter and less sclerotised appendix bursae and larger corpus bursae; from O. ariuna (Fig. 19) differs by less sclerotised ostium bursae with shorter lateral crests, larger broad posterior part of ductus bursae, shorter and stronger sclerotised appendix bursae, broader corpus bursae and longer signa; from O. faqiri differs by larger broad posterior part of ductus bursae, shorter and stronger sclerotised appendix bursae; from O. reshoefti (figured by Hreblay & Plante 1994) differs by larger broad posterior part of ductus bursae, larger corpus bursae and longer signa; from O. incerta (Fig. 20) differs by shorter and less sclerotised ostium bursae with shorter, less sclerotised and not dentate lateral crests, broader ductus bursae with much more strongly broadened posterior part, stronger sclerotised appendix bursae, somewhat broader corpus bursae. Description. Adult (Figs 1–4, 21, 22). Wingspan 28–32 mm, length of forewing 12–15 mm. Antennae biserrate on males, dentate on females. Head, thorax and abdomen brown or dark brown. Forewing elongated, with pointed apex. Ground colour of forewing monotonous brown or dark brown. Antemedial, postmedial and terminal lines indistinct. Submarginal line slightly wavy, pale, with dark borders inwards. Claviform absent. Reniform and orbicular brown, with dark borders, reniform with shadow posteriorly. Cilia brown or dark brown. Hindwing pale, brownish-grey. Discal spot semilunar, indistinct. Cilia pale brownish-grey. Male genitalia (Figs 11, 12). Uncus narrow, medially broadened, apically pointed. Tegumen moderately long, penicular lobes narrow. Juxta rectangular, with two narrow apical processes. Vinculum long, V-shaped. Valva elongated, medially curved, with S-shaped costal margin. Cucullus small, triangular, apically rounded, with narrow, apically pointed pollex. Corona absent. Sacculus large, long, distally strongly sclerotised. Clavus small, rounded, lobe-like. Ampulla long, curved, apically pointed, strongly sclerotised. Clasper moderately long, distally strongly broadened, with small, digitus-like harpe. Aedeagus long, slightly curved. Carina with elliptical lateral bar and strong, long, narrow, acute thorn. Vesica tubular, elongated, ventro-laterally recurved, with conical, apically rounded medial diverticulum. Female genitalia (Fig. 17). Ovipositor short, conical. Apophyses posteriores and anteriores long, thin. Ostium bursae broad, trapezoidal, with sclerotised lateral crests. Ductus bursae long, anteriorly curved; its posterior part heavily sclerotised, strongly broadened; posterior part rugose. Appendix bursae moderately long, broad, twisted, apically rounded, with long sclerotised plate. Corpus bursae membranous, sack-like, with four long band-like signa. Etymology. The specific name is dedicated to László and Gábor Ronkay. Distribution and bionomics. Known only from the coast of Shiderty Reservoir in North-East Kazakhstan. The species inhabits the edges of ponds with Salix, in the steppe zone (Fig. 23). Adults were collected in April, 2012 and May, 2013, at mercury vapor light.Published as part of Volynkin, Anton V. & Titov, Sergey V., 2014, A new species of Orthosia Ochsenheimer, 1816 from North-East Kazakhstan (Lepidoptera, Noctuidae), pp. 494-500 in Zootaxa 3753 (5) on pages 494-495, DOI: 10.11646/zootaxa.3753.5.7, http://zenodo.org/record/22961
Predictions for the Majorana CP violation phases in the neutrino mixing matrix and neutrinoless double beta decay
Get PDFAbstractWe obtain predictions for the Majorana phases α21/2 and α31/2 of the 3×3 unitary neutrino mixing matrix U=Ue†Uν, Ue and Uν being the 3×3 unitary matrices resulting from the diagonalisation of the charged lepton and neutrino Majorana mass matrices, respectively. We focus on forms of Ue and Uν permitting to express α21/2 and α31/2 in terms of the Dirac phase δ and the three neutrino mixing angles of the standard parametrisation of U, and the angles and the two Majorana-like phases ξ21/2 and ξ31/2 present, in general, in Uν. The concrete forms of Uν considered are fixed by, or associated with, symmetries (tri-bimaximal, bimaximal, etc.), so that the angles in Uν are fixed. For each of these forms and forms of Ue that allow to reproduce the measured values of the three neutrino mixing angles θ12, θ23 and θ13, we derive predictions for phase differences (α21/2−ξ21/2), (α31/2−ξ31/2), etc., which are completely determined by the values of the mixing angles. We show that the requirement of generalised CP invariance of the neutrino Majorana mass term implies ξ21=0 or π and ξ31=0 or π. For these values of ξ21 and ξ31 and the best fit values of θ12, θ23 and θ13, we present predictions for the effective Majorana mass in neutrinoless double beta decay for both neutrino mass spectra with normal and inverted ordering
Theoretical study of ThO and HfF+ for electron electric dipole moment search experiments
Get PDFMade available in DSpace on 2019-07-15T22:17:10Z (GMT). No. of bitstreams: 2
3694.pdf: 18717 bytes, checksum: 3237a5d257a9118ed58d7938b91e3a65 (MD5)
license.txt: 4802 bytes, checksum: 58353f9dd6876860dd5221f3d7872a95 (MD5)
Previous issue date: 2019-06-18Made available in DSpace on 2020-01-25T19:31:50Z (GMT). No. of bitstreams: 4
3694.pdf.txt: 1248 bytes, checksum: eef2e97d907ea565bcc2ad092df04cfb (MD5)
license.txt: 4802 bytes, checksum: 58353f9dd6876860dd5221f3d7872a95 (MD5)
3694.pdf: 18717 bytes, checksum: 3237a5d257a9118ed58d7938b91e3a65 (MD5)
1355698.pdf: 2850337 bytes, checksum: 7b9573840dd2c07fab14b3d2a4cb7998 (MD5)
Previous issue date: 2019-06-18Theoretical study of ThO and HfF for the experiments to search for the electron electric dipole moment (eEDM) are reported. The g-factors [1,2], effective electric field in the molecule acting on the eEDM [3], hyperfine structure, Zeeman and Stark effects [3,4,5] (including dynamic) for the eEDM sensitive states are calculated with high accuracy. Calculations are required for interpretation of the experiments and estimation of systematic effects.
\begin{enumerate}
\item A.N. Petrov, L.V. Skripnikov, A.V. Titov, N.R. Hutzler, P.W. Hess, B.R. O'Leary, B. Spaun, D. DeMille, G. Gabrielse, and J.M. Doyle, Phys.Rev.A {\bf 89}, 062505 (2014)
\item A. N. Petrov, L. V. Skripnikov, and A. V. Titov, Phys. Rev. A {\bf 96}, 022508 (2017)
\item A.N. Petrov, Phys.Rev.A, {\bf 91}, 062509 (2015)
\item A. N. Petrov, Phys. Rev. A {\bf 95}, 062501 (2017)
\item A.N. Petrov, Phys.Rev.A, {\bf 97}, 052504 (2018)
\end{enumerate
Perigrapha (Perigrapha) yasawii Volynkin, Titov & Knyazev, sp. n.
No full textPerigrapha (Perigrapha) yasawii Volynkin, Titov & Knyazev, sp. n. (Figs 1–3, 11, 12) Type material. Holotype: male, 14.iv. 2014, S Kazakhstan, South Kazakhstan Region, 39 km WSW of Turkestan city, Syrdarya river valley, h= 180 m, N 43 ° 10.006 ’, E 67 ° 50.389 ’, at light. Volynkin A.V., Titov S.V. & Knyazev S.A. leg. Slide AV 1242 Volynkin (Coll. Zoological Institute, Russian Academy of Sciences, St. Petersburg, Russia [ZISP]). Paratypes: 26 males, with the same data as holotype (Colls A. Volynkin, Barnaul, Russia [AVB]; S. Knyazev, Omsk, Russia [SKO]; S. Titov, Pavlodar, Kazakhstan [STP]; ZISP); 1 male, Perovsk [S Kazakhstan, Kyzyl-Orda Region, vicinity of Kyzyl-Orda city], Syr-Darya reg., 2.iv. 1909, E. Miller [leg.] (Coll. ZISP). Slides AV 1230, AV 1243 Volynkin (males). Diagnosis. The new species belongs to P. circumducta complex of the P. i-cinctum ([Denis & Schiffermüller], 1775) species-group including P. sechuana G. Ronkay, L. Ronkay & Hacker, 2010, P. circumducta circumducta (Lederer, 1855) and P. circumducta pallescens (Draudt 1934) (Hreblay 1996; Ronkay et al. 2001; Ronkay et al. 2010). P. yasawii sp. n. (Figs 1–3) differs externally from P. circumducta circumducta (Figs 4–6) by its somewhat smaller size (wingspan of P. circumducta circumducta 42–53 mm), broader pectination of male antennae, more concolorous brownish-grey ground colour of forewings (in P. c. circumducta ground colour varies from reddishbrown to blackish-brown), pale subbasal area, pale subterminal area with narrower dark field outwards the postmeidal line, somewhat smaller orbicular stigma, more rounded reniform stigma, much narrower suborbicular patch and more greyish hindwings; from P. circumducta pallescens (Figs 7, 8) by its smaller size, broader pectination of male antennae, brownish-grey ground colour of forewings, more concolorous subterminal area with narrower dark field outwards the postmeidal line, more rounded reniform stigma, much narrower suborbicular patch and more greyish hindwings; from P. sechuana (Figs 9, 10) by its smaller size, narrower forewings, concolorous brownish-grey ground colour of forewings (in P. sechuana ground colour reddish-brown), paler subbasal area, pale subterminal area with narrower dark field outwards the postmeidal line, somewhat smaller orbicular stigma, more rounded reniform stigma, much narrower suborbicular patch and less unicolorous, more greyish hindwings with paler basal area. The male genitalia of P. yasawii sp. n. (Figs 11, 12) differ from those of P. circumducta (Figs 13) by the proximally broader, almost quadrangular uncus, more quadrangular juxta, broader clasper with shorter harpe and broader proximal part of ampulla; from P. sechuana (Fig. 14) by proximally broader, almost quadrangular uncus, broader clasper with shorter harpe, less asymmetrical and apically more dilated distal parts of valvae, longer aedeagus and much longer, less dorsally recurved vesica. Description. Adult (Figs 1–3). Male. Wingspan 37–43 mm. Antennae bipectinate, with long branches. Head, thorax and abdomen brownish-grey. Ground colour of forewing pale brownish-grey, medial area dark, greyishbrown, paler near the costal margin; antemedial and postmedial lines thin, dark grey; antemedial line almost straight, slightly curved near the costal margin; postmedial line almost straight, only arcuate around the cell; subterminal line indistinct; terminal area darker than subterminal; terminal line blackish, divided into short spots; orbicular and reniform stigmata and suborbicular patch being connected with reniform stigma with merged edges, pale greyish-ochreous, bordered with blackish; cilia grey. Hindwing greyish-brown; discal spot and medial line indistinct, dark; cilia dark grey. Female unknown. Male genitalia (Figs 11, 12). Uncus short, almost quadrangular, apically slightly rounded; tegumen short, weak; penicular lobes weak, narrow; juxta long, almost quadrangular; vinculum short, V-shaped; valva long, relatively narrow; cuculli long, straight, narrow, without pollex-like extensions, asymmetrical; distal part of left cucullus longer, apically narrower than that of right cucullus; ampulla long, slender, moderately curved, apically pointed; clasper short, distally strongly broadened, harpe very short; aedeagus very long, curved; vesica long, twisted, with subconical medial diverticulum with very small field of weak and short spinules, and large terminal field of spinules on broad diverticulum. Distribution and bionomics. The new species is known from two localities in South Kazakhstan. P. y as a w i i sp. n. inhabits dry shrubby river valleys (Fig. 15). Etymology. The species name is dedicated to Khodja Ahmed Yasawi, a Turkic poet and Sufi, whose mausoleum is in Turkestan city, less than 40 km from the type locality.Published as part of Volynkin, Anton V., Titov, Sergey V. & Knyazev, Svyatoslav A., 2014, A new Perigrapha Lederer, 1857 from South Kazakhstan (Lepidoptera, Noctuidae), pp. 292-296 in Zootaxa 3856 (2) on pages 292-296, DOI: 10.11646/zootaxa.3856.2.8, http://zenodo.org/record/22497
Euchalcia matovi Volynkin & Titov, sp. n.
No full textEuchalcia matovi Volynkin & Titov, sp. n. (Figs 1–5, 11, 12, 17, 18, 22) Type material. Holotype: male, 09.vi. 2013, E Kazakhstan, East Kazakhstan area, Urdzhar district, Tarbagatai Ridge, 6.7 km N of Kyzymbet (Alekseevka) village, mesophilous shrubby slopes, 1300 m. 47 ° 18.365 ’ N, 81 ° 32.152 ’ E, Volynkin A.V., Titov S.V. & Černila M. leg. Slide AV0865 Volynkin (Coll. ZISP). Paratypes: 22 males, 15 females, with the same labels as holotype, slides AV0853, AV0863, AV0864, AV0870, AV0871, AV0872, AV0873, AV0874 Volynkin (males), AV0866, AV0867, AV 1177, AV 1178 Volynkin (females) (Colls ZISP, AVB, STP, MČK); 2 females, 9.vii. [19] 67, Kazakhstan, Dzhungarsky Alatau, I. Kostin [leg.] / Euchalcia inconspicua, Zolotarenko det., slides AV 1177, AV 1178 Volynkin (females) (Coll. SZMN). Diagnosis. The new species is the third and the smallest member of the E. inconspicua species-complex. Externally E. matovi (Figs 1–5) is close to E. anthea (Figs 9, 10), but differs from it by smaller size (wingspan of E. anthea 31–36 mm), somewhat paler, more brilliant forewing colouration and less contrast pattern; from E. inconspicua (Figs 7, 8) differs by smaller size (wingspan of E. inconspicua 32–37 mm), broader forewing in females, with less acutely pointed apex of forewing in both sexes, much paler forewing colouration with paler medial field and less contrast pattern. E. matovi is also externally similar to E. shugnana (Sheljuzhko, 1929) (Fig. 6), but differs from it by somewhat less acutely pointed apex of forewing in both sexes, broader forewing in females, more brilliant forewing colouration. The male genitalia of the new species (Figs 11, 12) are close to those of E. inconspicua (Figs 13, 14). The genital capsule of E. matovi differs by longer and narrower uncus, narrower and distally more angled valva with larger ventro-medial triangular lobes; E. matovi has a larger aedeagus in comparison to the genital capsule of E. inconspicua, the vesica of E. matovi is longer, and subterminal cornuti are somewhat longer and more to robust. From E. anthea (Fig. 15) the male genitalia of E. matovi differ by medially broader valva with larger ventro-medial triangular lobes, somewhat longer aedeagus in comparison with the genital capsule, shorter and broader basal tube of vesica, and longer and stronger subterminal cornuti; from E. shugnana (Fig. 16) the male genitalia differ by longer uncus, longer harpe and the vesica structure: in E. matovi the basal tube is much longer, subterminal cornuti longer and stronger. The female genitalia of E. matovi (Figs 17, 18) differ from those of E. inconspicua (Fig. 19) by longer ductus bursae with much stronger sclerotised bulbous anterior part; from E. anthea (Fig. 20) differ by shorter and not S-shaped ductus bursae and somewhat stronger sclerotised bulbous anterior part; from E. shugnana (Fig. 21) differ by much larger, more rounded anterior part of ductus bursae, larger appendix bursae, longer corpus bursae. Description. Adult (Figs 1–5, 22). Wingspan 28–31 mm, length of forewing 12–14 mm. Antennae filiform. Head, thorax and abdomen ochreous; tegulae and patagia golden ochreous; Forewing broad, with pointed apex. Ground colour of forewing ochreous with metallic golden sheen; basal line thin, brown, wavy, indistinct; antemedial and postmedial lines thin, dark golden brown; antemedial line bent at A 1, postmedial line smooth curved; suffusion of the medial area varies from golden ochreous to golden brown; submarginal line thin, smooth curved, dark golden brown, with conspicuous dark golden brown shadow at inner margin; terminal line thin, dark brown; cilia ochreous or brown; orbicular, reniform and subcellular stigma conspicuous, with thin dark brown borders. Hindwing ochreous or ochreous brown; terminal band wide, dark, fuzzy; medial band thin, slightly wavy, dark brown; discal spot thin, brown, indistinct. Male genitalia (Figs 11, 12). Uncus narrow, long, curved, apically pointed; tegumen broad, moderately long; juxta broad, shield-like, with long conical apical process; vinculum long, V-shaped; valva moderately broad, distally narrowed, angled, with well developed ventro-medial triangular lobes; sacculus relatively small, clavus small, short, triangular; harpe long, thin; aedeagus large, moderately broad; vesica tubular, consists of broad tubular basal part and sphaerical subterminal bulb with three-six large subterminal cornuti and one terminal cornutus. Female genitalia (Figs 17, 18). Ovipositor short, conical. Apophyses posteriores and anteriores long, thin. Ostium bursae membranous; ductus bursae moderately long, tubular, rugose, with strongly sclerotised bulbous proximal plate at junction to corpus bursae; appendix bursae small, elliptical, membranous; ductus bursae membranous, sack-like, moderately long. Distribution and bionomics. The new species is known from the south-west part of Tarbagatai Ridge in East Kazakhstan and the Dzhungarsky Alatau Mts. in South-East Kazakhstan. At the type locality, E. matovi inhabits mesophilous slopes with Lonicera and Rosa shrubs (Fig. 23). Etymology. The species name is dedicated to Dr. Alexey Matov (ZISP), an expert on Asian Noctuoidea.Published as part of Volynkin, Anton V., Titov, Sergey V. & Ivanova, Maria S., 2014, A new species of Euchalcia Hübner, [1821] from Kazakhstan (Lepidoptera, Noctuidae), pp. 493-497 in Zootaxa 3784 (4) on pages 493-497, DOI: 10.11646/zootaxa.3784.4.8, http://zenodo.org/record/22799
The A4, S4 and A5 flavor symmetries in light of data on neutrino mixing
Get PDFWe consider the A4, S4 and A5 discrete lepton flavor symmetries broken down to nontrivial residual symmetries in the charged lepton and neutrino sectors in such a way that at least one of them is a Z2. Such symmetry breaking patterns lead to predictions for some of the three neutrino mixing angles and/or the Dirac CP violation phase δ of the neutrino mixing matrix. First, we perform a statistical analysis of these predictions, which uses as input the latest global data on the neutrino mixing parameters. We find 14 phenomenologically viable cases. Further, we assess the viability of these cases taking into account the prospective uncertainties in the determination of the mixing angles, planned to be achieved in current and future neutrino oscillation experiments. We find that only six cases would be compatible with the assumed prospective data. We show that this number will be further reduced by a precision measurement of δ
FIGURES 31–32 in A new species of Victrix Staudinger, 1879 from Kazakhstan (Lepidoptera, Noctuidae)
No full textFIGURES 31–32. The habitats of Uictrix akbet. 31, NE Kazakhstan, Bayanaul Mts., vic. of Kempirtas Mt., 50°51'24.65" N 75°34'37.21" E, the type locality (Photo by A.V. Volynkin). 32, NE Kazakhstan, Bayanaul Mts., eastern coast of Toraygyr Lake, N50°52.113', E75°40.286', 16.VI.2017 (photo by S.V. Titov).Published as part of Volynkin, Anton V., Titov, Sergey V., Černila, Matjaž, Truuverk, Andro & Saldaitis, Aidas, 2019, A new species of Victrix Staudinger, 1879 from Kazakhstan (Lepidoptera, Noctuidae), pp. 325-336 in Zootaxa 4563 (2) on page 334, DOI: 10.11646/zootaxa.4563.2.6, http://zenodo.org/record/260124
Dichotomy and stability of disturbed systems with periodic nonlinearities
Get PDFSystems that can be decomposed as feedback interconnections of stable linear blocks and periodic nonlinearities arise in many physical and engineering applications. The relevant models e.g. describe oscillations of a viscously damped pendulum, synchronization circuits (phase, frequency and delay locked loops) and networks of coupled power generators. A system with periodic nonlinearities usually has multiple equilibria (some of them being locally unstable). Many tools of classical stability and control theories fail to cope with such systems. One of the efficient methods, elaborated to deal with periodic nonlinearities, stems from the celebrated Popov method of 'integral indices', or integral quadratic constraints; this method leads, in particular, to frequency-domain criteria of the solutions' convergence, or, equivalently, global stability of the equilibria set. In this paper, we further develop Popov's method, addressing the problem of robustness of the convergence property against external disturbances that do not oscillate at infinity (allowing the system to have equilibria points). Will the forced solutions also converge to one of the equilibria points of the disturbed system? In this paper, a criterion for this type of robustness is offered.Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Team Tamas Keviczk
Determining the Dirac CP violation phase in the neutrino mixing matrix from sum rules
Get PDFAbstractUsing the fact that the neutrino mixing matrix U=Ue†Uν, where Ue and Uν result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the sum rules which the Dirac phase δ present in U satisfies when Uν has a form dictated by, or associated with, discrete symmetries and Ue has a “minimal” form (in terms of angles and phases it contains) that can provide the requisite corrections to Uν, so that reactor, atmospheric and solar neutrino mixing angles θ13, θ23 and θ12 have values compatible with the current data. The following symmetry forms are considered: i) tri-bimaximal (TBM), ii) bimaximal (BM) (or corresponding to the conservation of the lepton charge L′=Le−Lμ−Lτ (LC)), iii) golden ratio type A (GRA), iv) golden ratio type B (GRB), and v) hexagonal (HG). We investigate the predictions for δ in the cases of TBM, BM (LC), GRA, GRB and HG forms using the exact and the leading order sum rules for cosδ proposed in the literature, taking into account also the uncertainties in the measured values of sin2θ12, sin2θ23 and sin2θ13. This allows us, in particular, to assess the accuracy of the predictions for cosδ based on the leading order sum rules and its dependence on the values of the indicated neutrino mixing parameters when the latter are varied in their respective 3σ experimentally allowed ranges
Implementation Features of the TreeCode Algorithm for Solving N-body Problems on GPUs
No full textТитов Александр Викторович, аспирант, кафедра информационных систем и компьютерного моделирования, Волгоградский государственный университет (Волгоград, Российская Федерация).
Хоперсков Александр Валентинович, д.ф.-м.н., профессор, кафедра информационных систем и компьютерного моделирования, Волгоградский государственный университет
(Волгоград, Российская Федерация). A.V. Titov, A.V. Khoperskov
Volgograd State University (pr. Universitetsky 100, Vologograd, 400062 Russia)
E-mail: [email protected], [email protected]Иерархические методы вычисления гравитационных сил для систем N-тел позволяют существенно
увеличить качество численного моделирования при решении различных астрофизических задач за счет
увеличения числа элементов N, поскольку вместо вычислительной сложности \sim O(N2) для прямого метода, мы имеем N \mathrm{l}\mathrm{o}\mathrm{g}(N) при использовании приближенного метода TreeCode, что позволяет существенно
увеличить число частиц в численных моделях. Разработано новое программное обеспечение для решения
динамической задачи с большим числом частиц для моделирования галактических бесстолкновительных
компонент, в частности, звездной подсистемы и темной массы. В работе представлены результаты тестирования алгоритма TreeCode для параллельной реализациии на графических ускорителях NVidia Tesla. Для
построения иерархической системы сеток нами реализован быстрый алгоритм построения октодеревьев,
основанный на пространственной кривой Мортона. Для оценок качества построенной численной модели
используем для сравнения результаты моделирования на основе прямого вычисления сил взаимодействия
между всеми N частицами системы. Проведен анализ быстродействия различных реализаций алгоритмов
решения задачи N-тел и выполнения интегральных законов сохранения физических характеристик для
гравитирующих систем. В частности, проанализированы законы сохранения энергии и момента импульса
для вращающегося самогравитирующего диска. Рассмотрены модели с различными критериями оценки
удаленности частицы и значениями угла раскрытия \theta. Hierarchical methods for calculating gravitational forces in a N-body system significantly increase the quality
of numerical simulations when solving various astrophysical problems by increasing the number of N elements,
since we have the computational complexity N \mathrm{l}\mathrm{o}\mathrm{g}(N) for the TreeCode approximate method instead of \sim O(N2)
for the direct method, which allows to greatly increase the number of particles in the models. We developed new
software for solving a dynamic problem with a large number of particles for modeling the collisionless components
of the galaxies, in particular, stellar subsystem and dark matter. The paper presents the test results for the parallel
implementation of the Treecode algorithm for the NVidia Tesla GPUs. To construct a hierarchical grid structure,
we implemented a fast parallel octree-construction algorithm based on Morton’s space-filling curve. To assess
the quality of the constructed numerical model, we use the simulation results based on the direct calculation of
the interaction forces between all N particles of the system. We have compared the performance of the different
implementations of algorithms for solving the N-body problem and an analisis of the fulfillment of the integral
physical conservation laws of a self-gravitational system. The analysis of the fulfillment of the conservation laws
of total energy and angular momentum is carried out for a rotating self-gravitating disk. Models with different
criteria for a particle remoteness and value of the opening angle \theta are considered.Работа выполнена в рамках государственного задания Министерства науки и высшего
образования Российской Федерации №0633-2020-0003. Расчеты проводились на оборудовании ЦКП «Суперкомпьютерный центр коллективного пользования ВолГУ»
- …
