333,943 research outputs found
Some Landau Type Inequalities for Functions whose Derivatives are of locally bounded variation
No full textSome inequalities of the Landau type for functions whose derivatives are of locally bounded variation are pointed out
Some Landau Type Inequalities for Functions whose Derivates are Hölder Continuous
No full textSome inequalities of Landau type for functions whose derivates satisfy Hölder’s condition are pointed out
Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results
No full textSome inequalities for functions of bounded variation that provide
reverses for the inequality between the integral mean and the p−norm for
p Є [1,∞] are established. Applications related to the celebrated Landau
inequality between the norms of the derivatives of a function are also pointed
out
Non-Fermi-liquid behavior and anomalous suppression of Landau damping in layered metals close to ferromagnetism
No full textFinancial support from the EPSRC (U.K.) under Grants No. EP/G03673X/1 (S. P. R.) and No. EP/I031014/1 (C. A. H.) is acknowledged.We analyze the low-energy physics of nearly ferromagnetic metals in two spatial dimensions using the functional renormalization group technique. We find a new low-energy fixed point, at which the fermionic (electronlike) excitations are non-Fermi-liquid (zƒ=13/10) and the magnetic fluctuations exhibit an anomalous Landau damping whose rate vanishes as Γq∼|q|3/5 in the low-|q| limit. We discuss this renormalization of the Landau-damping exponent, which is the major novel prediction of our work, and highlight the possible link between that renormalization and neutron-scattering data on UGe2 and related compounds. Implications of our analysis for YFe2Al10 are also discussed.Peer reviewe
McKay correspondence for Landau-Ginzburg models
Full text linkIn this paper we prove an analogue of the McKay correspondence for Landau-Ginzburg models. Our proof is based on the ideas introduced by T. Bridgeland, A. King and M. Reid, which reformulate and generalize the McKay correspondence in the language of derived categories, along with the techniques introduced by J.-C. Chen
Modeling of weak anisotropic anchoring of nematic liquid crystals in the Landau-de Gennes theory
No full textThe anisotropic anchoring effect of a treated solid surface on a nematic liquid crystal is described in the Landau-de Gennes theory using a power expansion on the tensor-order parameter and two mutually orthogonal unit vectors. The expression has three degrees of freedom, allowing for independent assignment of polar and azimuthal anchoring strengths and a preferred value of the surface-order parameter. It is shown that in the limit for a uniaxial constant-order parameter, the expression simplifies to the anisotropic generalization of the Rapini-Papoular anchoring energy density proposed by Zhao et al. Experimentally measurable values with a physical meaning in the Oseen-Frank theory can be scaled and assigned to the scalar coefficients of the tensor-order-parameter expansion. Results of numerical experiments comparing the anchoring according to the study of Zhao et al. in the Oseen-Frank theory and the power expansion in the Landau-de Gennes theory are presented and shown to agree well
Tenagodus Sacchetti, Landau & Ávila, 2023, s. str.
No full text<p> <b> Subgenus <i>Tenagodus s. str.</i></b> </p> <p> <b>Type species.</b> <i>Serpula anguina</i> Linnaeus, 1758 (Guettard 1770: 128), by subsequent designation (Sacco 1896b). Present-day, Indian Ocean.</p>Published as part of <i>Sacchetti, Claudia, Landau, Bernard & Ávila, Sérgio P., 2023, The Lower Pliocene marine gastropods of Santa Maria Island, Azores: Taxonomy and palaeobiogeographic implications, pp. 1-150 in Zootaxa 5295 (1)</i> on page 34, DOI: 10.11646/zootaxa.5295.1.1, <a href="http://zenodo.org/record/7965273">http://zenodo.org/record/7965273</a>
On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling
No full textWe study standing wave solutions in a
Ginzburg-Landau equation which consists of
a cubic-quintic equation stabilized by global coupling
A_t= \Delta A +\mu A + c A^3 -A^5 -k A
(\int_{R^n} A^2\,dx).
We classify the existence and stability of
all possible standing wave solutions
Asymptotic analysis of a secondary bifurcation of the one-dimensional Ginzburg-Landau equations of superconductivity
Full text linkThe bifurcation of asymmetric superconducting solutions from the normal solution is considered for the one-dimensional Ginzburg--Landau equations by the methods of formal asymptotics. The behavior of the bifurcating branch depends on the parameters d, the size of the superconducting slab, and , the Ginzburg--Landau parameter. The secondary bifurcation in which the asymmetric solution branches reconnect with the symmetric solution branch is studied for values of for which it is close to the primary bifurcation from the normal state. These values of form a curve in the -plane, which is determined. At one point on this curve, called the quintuple point, the primary bifurcations switch from being subcritical to supercritical, requiring a separate analysis. The results answer some of the conjectures of [A. Aftalion and W. C. Troy, Phys. D, 132 (1999), pp. 214--232]
Fraudiziba ottomanica Harzhauser & Landau 2021, nov. sp.
No full textFraudiziba ottomanica nov. sp. Figs 11D 1 –D 2, E 1 –E 2, F 1 –F 2 Ziba goniophora (Bellardi, 1850) — Landau et al. 2013: 213, pl. 34, figs 1, 2, pl. 68, fig. 7, pl. 80, fig. 9 [non Bellardi, 1850] Type material. Holotype: NHMW 1847 /0058/0387, SL: 21.6 mm, MD: 7.4 mm, Seyithasan (Turkey), illustrated in Landau et al. (2013, pl. 34, figs 1a–b), Figs 11D 1 –D 2. Paratypes: NHMW 1847 /0058/0388, SL: 22.1 mm, MD: 7.5 mm, Seyithasan (Turkey), illustrated in Landau et al. (2013, pl. 34, figs 2a–b), Figs 11E 1 –E 2. RGM 77 882, SL: 15.8 mm, MD: 5.4 mm, Seyithasan (Turkey), illustrated in Landau et al. (2013, pl. 80, figs 9a–b), Figs 11F 1 –F 2. Type locality. Seyithasan, Karaman Basin, Karaman Province, Turkey. Type stratum. Týrtar Formation. Age. Middle Miocene, Serravallian. Etymology. Referring to the Ottoman Empire. Diagnosis. Fraudiziba species of medium size, solid, moderately broad fusiform, with high spire, angulated shoulder, high last whorl, moderately narrow aperture, moderately short siphonal canal, intense colour pattern of large subquadrate blotches on shoulder and last whorl. Description. Shell medium sized, moderately broad fusiform, solid. Protoconch paucispiral, consisting of about 1.25 smooth whorls with medium-sized nucleus. Teleoconch of nine whorls. Early teleoconch whorls straight sided, fifth to sixth whorl weakly convex in profile, coinciding with development of rounded shoulder, passing into angulation on penultimate and last whorls. Suture of early teleoconch whorls incised, faintly canaliculate, narrowly impressed on later whorls. Last whorl high, subcylindrical, slowly contracting. Aperture moderately narrow. Columellar callus narrow, extending from adapical columellar fold to tip of siphonal canal, thickened and sharply delimited from base in adult specimens. Columella with three oblique folds, decreasing in strength abapically, fourth columellar fold subobsolete. Outer lip thin. Siphonal canal moderately short, wide, straight, with shallow siphonal notch. Shell surface smooth except for broad spiral cords on base and fasciole. Colour pattern under UV light consisting of spiral rows of subquadrate blotches, with row of larger dots at shoulder of last whorl (figs 11 F 1 –F 2). Shell measurements and ratios. SL = 21.6–22.1 mm, MD: 7.4–7.5 mm, AA = 40–42°, SL/MD: 2.9–3.0, AL/ AW: 5.2–5.6, AH/S: 2.6. Discussion. This species was identified as Ziba goniophora (Bellardi, 1850) by Landau et al. (2013) but the Tortonian F. goniophora is stockier and bears punctate spiral grooves (see Bellardi, 1850, pl. 1, fig. 20), Bellardi, 1887a, pl. 4, fig. 8 and Ferrero-Mortara et al. (1981, pl. 48, figs 11a–b). Fraudiziba ottomanica is morphologically close to F. subcarinata (Bellardi, 1887) due to its angulated shoulder, but lacks spiral grooves on the spire whorls. Fraudiziba paratethyca nov. sp. is more slender, has a higher spire and lacks an angulation. In addition, F. ottomanica is characterised by its colour pattern of large subquadrate spots and blotches, whereas F. paratethyca has spiral rows of small dots and dashes. Fraudiziba ottomanica does not occur in the Paratethys, but because of its close resemblance with Fraudiziba paratethyca nov. sp., it is desirable to describe this Turkish middle Miocene species formally to avoid future confusion. Palaeoenvironment. Coastal, inner neritic depositional environments (Landau et al. 2013). Proto-Mediterranean Sea. Serravallian (middle Miocene): Karaman Basin: Seyithasan, Akpýnar-Pýnarlar Yaylasý, Gödet River across from Tilkikaya, roadcut at turnoff to Lale on Mut road (Turkey). Some of the specimens described by Davoli (2000) as Ziba goniophora (Bellardi, 1850) from the Tortonian of Montegibbio (Italy) might be conspecific with the Turkish specimens.Published as part of Harzhauser, Mathias & Landau, Bernard, 2021, The Mitridae (Gastropoda: Neogastropoda) of the Miocene Paratethys Sea, pp. 1-72 in Zootaxa 4983 (3) on pages 42-43, DOI: 10.11646/zootaxa.4983.1.1, http://zenodo.org/record/492188
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