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A multicanonical formalism is introduced to describe statistical equilibrium of complex systems exhibiting a hierarchy of time and length scales, where the hierarchical structure is described as a set of nested "internal heat reservoirs"…

Statistical Mechanics · Physics 2012-11-15 Domingos S. P. Salazar , Giovani L. Vasconcelos

The eigenvalue statistics of quantum ideal gases with single particle energies $e_n=n^\alpha$ are studied. A recursion relation for the partition function allows to calculate the mean density of states from the asymptotic expansion for the…

chao-dyn · Physics 2007-05-23 B. Eckhardt

A brief introduction to the statistical hadronization approach to particle production in relativistic heavy-ion collisions is given. In the context of fluid dynamics modeling various aspects of hadron emission at the freeze-out are…

Nuclear Theory · Physics 2022-07-13 Radoslaw Ryblewski

Introduced by Boltzmann under the name "monode," the microcanonical ensemble serves as the fundamental representation of equilibrium thermodynamics in statistical mechanics by counting all possible realizations of a system's states.…

Statistical Mechanics · Physics 2026-01-27 Roman Belousov , Jenna Elliott , Florian Berger , Lamberto Rondoni , Anna Erzberger

We numerically investigate quantum quenches of a nonintegrable hard-core Bose-Hubbard model to test the accuracy of the microcanonical ensemble in small isolated quantum systems. We show that, in a certain range of system size, the accuracy…

Statistical Mechanics · Physics 2015-08-26 Tatsuhiko N. Ikeda , Masahito Ueda

This dissertation examines the phenomenology of statistical hadronization at ultrarelativistic energies. We start with an overview of current experimental and theoretical issues in Relativistic heavy ion physics. We then introduce…

Nuclear Theory · Physics 2009-09-29 Giorgio Torrieri

This thesis gives a comprehensive analysis of hadron production in $e^{+}e^{-}$ collisions at different center of mass energies in the framework of the Statistical Model of the hadron resonance gas. The model used for the analysis is…

Nuclear Theory · Physics 2009-04-21 Florian Beutler

A generalization of the microcanonical ensemble suggests a simple strategy for the simulation of first order phase transitions. At variance with flat-histogram methods, there is no iterative parameters optimization, nor long waits for…

Statistical Mechanics · Physics 2008-11-26 V. Martin-Mayor

The so-called $\chi^{2}$-superstatistics of Beck and Cohen (BC) is employed to investigate the infinite-range Blume-Capel model, a well-known representative system displaying inequivalence of canonical and microcanonical phase diagrams.…

Statistical Mechanics · Physics 2017-02-07 Nelson A. Alves , Rafael B. Frigori

We present a general method to compute canonical averages for physical models sampled via quantum or classical quadratic unconstrained binary optimization (QUBO). First, we introduce a histogram reweighting scheme applicable to QUBO-based…

Quantum Physics · Physics 2025-05-07 Francesco Slongo , Cristian Micheletti

We obtain the constraints on the ruling parameters of the dense hadronic gas model at the critical temperature and propose the quasiuniversal ratios of the thermodynamic quantities. The possible appearence of thermodynamical instability in…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Leonidov , G. M. Zinovjev

[This is the unpublished supplemental information from 1989 to the paper: J.M. Deutsch, "Quantum statistical mechanics in a closed system." Phys. Rev. A, 43(4), 2046 (1991).] A closed quantum mechanical system does not necessarily give time…

Quantum Physics · Physics 2025-02-25 J. M. Deutsch

In this paper, we formulate statistical mechanics of the polymerized systems in the semiclassical regime. On the corresponding polymeric symplectic manifold, we set up a noncanonical coordinate system in which all of the polymeric effects…

General Relativity and Quantum Cosmology · Physics 2015-06-22 M. A. Gorji , K. Nozari , B. Vakili

We discuss the information that can be obtained from an analysis of fluctuations in heavy ion collisions within the context of the statistical model of particle production. We then examine the recently published experimental data on ratio…

Nuclear Theory · Physics 2012-02-22 Giorgio Torrieri , Rene Bellwied , Christina Markert , Gary Westfall

We introduce the equilibrium and non-equilibrium statistical hadronization picture of particle production in ultra-relativistic heavy ion collisions. We describe the related physical reaction scenarios, and show how these can lead to quark…

Nuclear Theory · Physics 2011-07-19 Giorgio Torrieri , Jean Letessier , Johann Rafelski , Steve Steinke

The study of fluctuations of particle multiplicities in relativistic heavy-ion reactions has drawn much attention in recent years, because they have been proposed as a probe for underlying dynamics and possible formation of quark-gluon…

Nuclear Theory · Physics 2011-07-19 F. Becattini , A. Keranen , L. Ferroni , T. Gabbriellini

Semiclassical instanton theory is a form of quantum transition-state theory which can be applied to computing thermal reaction rates for complex molecular systems including quantum tunneling effects. There have been a number of attempts to…

Chemical Physics · Physics 2020-10-28 Wei Fang , Pierre Winter , Jeremy O. Richardson

Partition functions, multiplicity distributions, and isospin fluctuations are calculated for canonical ensembles in which additive quantum numbers as well as total isospin are strictly conserved. When properly accounting for Bose-Einstein…

Nuclear Theory · Physics 2009-11-07 Sen Cheng , Scott Pratt

A new phenomenological cluster-hadronization model is presented. Its specific features are the incorporation of soft colour reconnection, a more general treatment of diquarks including their spin and giving rise to clusters with baryonic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jan-Christopher Winter , Frank Krauss , Gerhard Soff

We analyze the general relation between canonical and grand canonical ensembles in the thermodynamic limit. We begin our discussion by deriving, with an alternative approach, some standard results first obtained by Kac and coworkers in the…

Statistical Mechanics · Physics 2024-05-01 Andrea Crisanti , Luca Salasnich , Alessandro Sarracino , Marco Zannetti
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