1,721,093 research outputs found
Characterization of the initial-state and propagation of fluctuations in heavy-ion collisions
No full textRoch H. Characterization of the initial-state and propagation of fluctuations in heavy-ion collisions. Bielefeld: Universität Bielefeld; 2022.The aim of this thesis is to develop an initial state characterization for heavy-ion collisions as well as a characterization of fluctuations arising from the initial-state energy density and their propagation into the final state.
In the first main part of the thesis we will set the stage and introduce the physics addressed in heavy-ion collisions and introduce different initial state models, namely the Glauber and Saturation model.
Then we will derive the Boltzmann equation and introduce a numerical framework to solve it in two dimensions for an ideal gas of massless particles.
The motivation for this new framework is the following: In small systems or peripheral collisions the number of interactions is small and the applicability of hydrodynamics is still under debate.
The second main part will study how fluctuations in anisotropic transverse flow occur due to a finite number of rescatterings during the system evolution within the numerical approach.
Initial geometries from a Monte Carlo Glauber model are used to study how flow coefficients fluctuate about their mean value for a given initial-state eccentricity.
Additionally we study for the first time how the distributions of the second and third event planes of anisotropic flow about their participant planes in the initial state evolve with the mean number of rescatterings in the system.
In the third part of the thesis we will study the generation of an anisotropic flow signal and spatial eccentricities in more detail, especially at early times using different particle-based transport approaches and a fixed initial condition.
We study the onset of anisotropic flow as a function of the number of rescatterings from the few-rescatterings case to the hydrodynamic regime using a power-law ansatz and an exponent varying with the number of rescatterings.
The numerical results are compared to semi-analytical calculations based on an expansion in powers of time and cross section in the few-rescatterings regime.
Additionally, we will test the effectiveness of the ``escape mechanism'' to create anisotropic flow in two numerical scenarios with a and collision kernel respectively, and we compare the results to analytical calculations using only the loss term in the Boltzmann equation.
This reveals that the even flow harmonics behave similarly, while the odd ones show a significant difference.
The fourth part of this thesis develops a general decomposition of an initial state density profile ensemble using an average state and independent orthonormal fluctuation modes.
Event-by-event fluctuations are encoded in the modes forming a basis.
Using Glauber and Saturation type initial conditions, we quantify different types and probabilities of event-by-event fluctuations and their impact on initial-state characteristics.
Using dynamical simulations within K{\o}MP{\o}ST and MUSIC, we investigate the impact of single modes on final-state observables and their correlations.
A comparison to event-by-event simulations is used to quantify the accuracy of the mode-by-mode approach
Transport coefficients in the hadronic medium
No full textIn this work we provided additional insights into our understanding of bulk QCD matter through the study of the transport coeffcients which govern the non-equilibrium microscopical processes of statistical ensembles. Specically, we focused on the low energy regime corresponding to the hadron gas, as the properties of this region of the phase diagram are still relatively unknown, and existing calculations for the transport coeffcients are either scarce, contradictory, or somewhat limited in scope; this thesis' main goal was thus to shed some light on this by providing new independent calculations of these quantities.
We subsequently presented two formalisms which can be used to calculate transport coeffcients. The first one (which also was the main tool we used in the following chapters to produce our results) relies on the development of so-called Green-Kubo formulas, which relate non-equilibrium dissipative fluctuations with transport coeffcients; notably, the off-diagonal components of the energy-momentum tensor are shown to be related to the shear viscosity, its diagonal components to the bulk viscosity and fluctuations in the electric current can be related to the electric conductivity. We additionally introduced two new conductivities, namely the baryon-electric and strange electric conductivities, which we dubbed, together with the already known electric one, the "cross-conductivity", which encodes information about how electric fluctuations are correlated to changes in electric, baryonic or strange currents, or vice-versa. The second way of calculating transport coeffcient which we discussed consists in linearizing the collision term of the Boltzmann equation through the Chapman-Enskog formalism. While in principle providing direct semi-analytical results for the transport coeffcients, this approach is complicated to implement when more than a few species are considered, and as such was then mostly used as a tool to calibrate our Green-Kubo calculations.
The hadron gas model that we used for all calculations, namely the transport approach SMASH, was then presented. The main features of the model were explained, such as the collision criterion, the considered degrees of freedom and the specific way in which they microscopically interact with each other. It was verified that SMASH does reproduce analytical results of the Boltzmann equation in an expanding universe scenario, thus showing the equivalence of this transport approach and the associated kinetic theory results. A special care was taken to detail the ways in which a state of thermal and chemical equilibrium (which is necessary for Green-Kubo relations to be valid) can be reached and described using SMASH.
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Electromagnetic probes in heavy-ion collisions
No full textIn this thesis we work on the theoretical description of relativistic heavy-ion collisions, focussing on electromagnetic probes. We present mainly four topics: electric conductivity and diffusion properties of the hot plasma and hadronic matter, response of the quark-gluon plasma to external magnetic fields, direct photon production in the quark-gluon plasma and a study about initial and final state effects in small systems. The latter topic aims, i.a., at a better understanding of the initial state, which is crucial for electromagnetic probes. In all research areas we make use of the Boltzmann transport equation, whereby the presented methods provide analytical and numerical solutions. We pay particular attention to the construction of complete leading order photon production processes in numerical transport simulations of the quark-gluon plasma.
To begin with, our findings are the complete conserved charge diffusion matrix and electric conductivity. Those properties are important ingredients, e.g., for future simulations of baryon rich collisions. Next, we find that the influence of external magnetic fields to the QGP dynamics is not quantifiable in observables.
We present results for a variety of direct photon observables and we can partly explain experimental data. We emphasize the importance of the chemical composition and non-equilibrium nature of the medium to the direct photon puzzle. Lastly, we observe the interesting dynamic behavior of azimuthal correlations in small systems and identify signatures of the initial state in final observables. This will also be of interest for more precise simulations of electromagnetic probes and allows for various future studies
The Landau-Pomeranchuk-Migdal effect within a partonic transport approach
No full textIn this thesis different descriptions for the non-Abelian Landau-Pomeranchuk-Migdal (LPM) effect are studied within the partonic transport approach BAMPS (Boltzmann Approach to Multi-Parton Scatterings), which numerically solves the 3+1-dimensional Boltzmann equation for massless partons based on elastic and radiative interactions calculated in perturbative quantum chromodynamics.
The LPM effect is a coherence effect originating from the finite formation time of gluon emissions leading to characteristic dependencies of the radiative energy loss of energetic partonic projectiles, as e.g. jets in ultra-relativistic heavy-ion collisions.
Due to this non-locality of interactions, such coherence effects are difficult to describe rigorously in transport theory.
Therefore we compare in this work three different implementations for the LPM effect: i) a parametric LPM suppression based on a theta function in the radiative matrix elements, ii) a stochastic LPM approach, which explicitly simulates the elastic interactions of gluons during their formation time, and iii) the thermal gluon emission rate from the AMY formalism, which is a hard-thermal-loop calculation exactly considering the non-Abelian LPM effect by resumming ladder diagrams in the large medium limit.
After discussing the numerical implementation of the three approaches, we investigate their consequences in different jet-energy loss scenarios: first the academic scenarios of eikonal and non-eikonal jets flying through a static brick of thermal quark-gluon plasma and then jets traversing the expanding medium of ultra-relativistic heavy-ion collisions at LHC energies.
We can demonstrate that although the different LPM approaches show similarities in the radiative energy loss there are differences in the underlying gluon emission spectra, which originate from the specific treatment of divergences in the matrix elements within BAMPS.
Furthermore, based on the different LPM approaches we present simulation results for recent jet quenching observables from the LHC experiments and discuss properties of the underlying heavy-ion medium
Dynamical production of hadrons and photons in hydrodynamics + transport approaches for relativistic heavy-ion collisions
No full textThe main subject of this thesis is the study of hadron and photon production in relativistic heavy-ion collisions by means of hydrodynamics+transport approaches. Two different kinds of such hybrid approaches are employed in this work, the SMASH-vHLLE-hybrid and a MUSIC+SMASH hybrid. While the former is capable of simulating heavy-ion collisions covering a wide range of collision energies down to √s = 4.3 GeV, reproducing the correct baryon stopping powers, the latter provides a framework to consistently model photon production in the hadronic stage of high-energy heavy-ion collisions.
The SMASH-vHLLE-hybrid is a novel state-of-the-art hybrid approach whose development constitutes a major contribution to this thesis. It couples the hadronic transport SMASH to the 3+1D viscous hydrodynamics approach vHLLE. Therein, SMASH is employed to provide the fluctuating 3D initial conditions and to model the late hadronic rescattering stage, and vHLLE for the fluid dynamical evolution of the hot and dense fireball. The initial conditions are provided on a hypersurface of constant proper time, and the macroscopic evolution of the fireball is carried out down to an energy density of ecrit = 0.5 GeV/fm3, where particlization occurs. Consistency at the interfaces is verified in view of global, on-average quantum number conservation and the SMASH-vHLLE-hybrid is validated by comparison to SMASH+CLVisc as well as UrQMD+vHLLE hybrid approaches. The establishment of the SMASH-vHLLE-hybrid to theoretically describe heavy-ion collisions at intermediate and high collision energies forms a basis for a range of extensions and future research projects. It is further made available to the heavy-ion community by virtue of being published on Github.
The SMASH-vHLLE-hybrid is applied to simulate Au+Au/Pb+Pb collisions between √s = 4.3 GeV and √s = 200.0 GeV. A good agreement with the experimentally measured rapidity and transverse mass spectra is obtained. In particular the baryon stopping dynamics are well reproduced at low, intermediate, and high collision energies. Excitation functions for the mid-rapidity yield and mean transverse momentum of pions, protons and kaons are demonstrated to agree well with their experimentally measured counterpart. These results further validate the approach and provide a solid baseline for potential future studies. The importance of annihilations and regenerations of protons and anti-protons is additionally investigated in Au+Au/Pb+Pb collisions between √s = 17.3 GeV and √s = 5.02 TeV with the SMASH-vHLLE-hybrid. It is found that, regarding the p + p ̄ ↔ 5 π reaction, 20-50% (depending on the rapidity range) of the (anti-)proton yield lost to annihila- tions in the hadronic rescattering stage is restored owing to the back reaction. The back reaction thus constitutes a non-negligible contribution to the final (anti-)proton yield and should not be neglected when modelling the late rescattering stage of heavy-ion collisions.
The MUSIC+SMASH hybrid is a hybrid approach ideally suited to model the production of photons in relativistic heavy-ion collisions. Therein, the macroscopic production of photons in the hadronic stage in MUSIC relies on the identical effective field theories as the photon cross sections implemented in SMASH for the microscopic production. The MUSIC+SMASH hybrid thus provides the first consistent framework to the end of hadronic photon production. It accounts for 2 → 2 scattering processes of the kind π + ρ → π + γ and pion bremsstrahlung processes π + π → π + π + γ. The MUSIC+SMASH hybrid is employed in an ideal 2D setup to systematically assess the importance of non-equliibrium dynamics in the hadronic rescattering stage on mid-rapidity transverse momentum spectra and elliptic flow of photons at RHIC/LHC energies. This is achieved by comparing the outcome of the MUSIC+SMASH hybrid, involving an out-of-equilibrium late rescattering stage, to macroscopically approximating late stage photon production by means of MUSIC, employed down to temperatures well below the switching temperature. It is found that non-equilibrium dynamics have only minor implications for photon transverse momentum spectra, but significantly enhance the photon elliptic flow. At RHIC energies, an enhancement of up to 70%, and at LHC of up to 65% is observed in the non-equilibrium afterburner as compared to its hydrodynamical counterpart. In combination with the large amount of photons produced above the particlization temperature, these differences are modest regarding the transverse momentum spectra, but a significant enhancement of the elliptic flow is observed at low transverse momenta. Below pT ≈ 1.4 GeV, the combined v2 is enhanced by up to 30% at RHIC, and up to 20% at the LHC within the non-equilibrium setup as compared to its approximation via hydrodynamics. Non-equilibrium dynamics in the hadronic rescattering stage are hence important, especially in view of momentum anisotropies at low transverse momenta. These findings thus contribute to the understanding of low-pT photons produced in heavy-ion collisions at RHIC/LHC energies and the MUSIC+SMASH hybrid employed for this study provides a baseline for additional studies regarding photon production in the future.
To summarize, the approaches and frameworks presented in this thesis provide a good baseline for further extensions and studies in order to improve the understanding of hadron and photon production in relativistic heavy-ion collisions across a wide range of collision energies. More broadly, such future studies of hadrons and photons may contribute to enhance the understandig of the properties of the fundamental building blocks of matter, of which everything that surrounds us is made of.Diese Dissertation basiert auf folgenden Publikationen:
• Anna Schäfer, Juan M. Torres-Rincon, Jonas Rothermel, Niklas Ehlert, Charles Gale, and Hannah Elfner. “Benchmarking a nonequilibrium approach to photon emission in
relativistic heavy-ion collisions”. In: Phys. Rev. D 99.11 (2019), p. 114021 [1]
• Anna Schäfer, Juan M. Torres-Rincon, Charles Gale, and Hannah Elfner. “A NonEquilibrium Approach to Photon Emission from the Late Stages of Relativistic HeavyIon Collisions”. In: Nucl. Phys. A 1005 (2021), p. 121772 [2]
• Oscar Garcia-Montero, Jan Staudenmaier, Anna Schäfer, Juan M. Torres-Rincon, and Hannah Elfner. “The role of proton-antiproton regeneration in the late stages of heavyion collisions”. arXiv: 2107.08812. Submitted to Phys. Rev. C (2021) [3]
• Anna Schäfer, Iurii Karpenko, and Hannah Elfner. “Conservation laws in a novel hybrid approach”. arXiv: 2109.08578. Submitted to Proceedings of Science (CPOD 2021) [4]
• Anna Schäfer, Oscar Garcia-Montero, Jean-François Paquet, Hannah Elfner, and Charles Gale. “Out-of-Equilibrium Photon Production in the Late Stages of Relativistic Heavy-Ion Collisions”. arXiv: 2111.13603. Submitted to Phys. Rev. C (2021) [5]
• Anna Schäfer, Iurii Karpenko, Xiang-Yu Wu, Jan Hammelmann, and Hannah Elfner. “Particle production in a hybrid approach for a beam energy scan of Au+Au/Pb+Pb collisions between psNN = 4.3 GeV and psNN = 200.0 GeV”. arXiv: 2112.08724. Submitted to Eur. Phys. J. A (2021) [6]
Gegenstand dieser Arbeit ist die theoretische Beschreibung relativistischer Schwerionenkollisionen im Hinblick auf Hadronen-und Photonenproduktion. Schwerionenkollisionen stellen eine experimentelle Möglichkeit dar, die kleinsten Bausteine unserer Materie zu erforschen und den Zustand unseres Universums wenige Mikrosekunden nach dem Urknall zu reproduzieren..
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Get PDFWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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