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Statistical models based on canonical and grand canonical ensembles are extensively used to study intermediate energy heavy ion collisions. The underlying physical assumption behind canonical and grand canonical models is fundamentally…

Nuclear Theory · Physics 2015-06-11 Swagata Mallik , Gargi Chaudhuri

In the realm of statistical mechanics, it has been established that there is no distinction between the micro-canonical and canonical ensembles in the thermodynamic limit. However, this paradigm may alter when addressing statistical…

Statistical Mechanics · Physics 2023-11-21 Jinwu Ye

Generalizations of the microcanonical and canonical ensembles for paths of Markov processes have been proposed recently to describe the statistical properties of nonequilibrium systems driven in steady states. Here we propose a theory of…

Statistical Mechanics · Physics 2013-09-18 Raphael Chetrite , Hugo Touchette

We study a random code ensemble with a hierarchical structure, which is closely related to the generalized random energy model with discrete energy values. Based on this correspondence, we analyze the hierarchical random code ensemble by…

Disordered Systems and Neural Networks · Physics 2011-02-08 Tomoyuki Obuchi , Kazutaka Takahashi , Koujin Takeda

Large-volume, high-temperature Bose-Einstein condensation is illustrated for a relativistic O(2)-invariant scalar field with fixed charge using the canonical ensemble. The standard, grand canonical results are reproduced for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. J. Bedingham

The microcanonical ensemble has long been a starting point for the development of thermodynamics from statistical mechanics. However, this approach presents two problems. First, it predicts that the entropy is only defined on a discrete set…

Statistical Mechanics · Physics 2017-06-07 William Griffin , Michael Matty , Robert H. Swendsen

We perform a systematic analysis of exclusive hadronic channels in e+e- collisions at centre-of-mass energies between 2.1 and 2.6 GeV within the statistical hadronization model. Because of the low multiplicities involved, calculations have…

High Energy Physics - Phenomenology · Physics 2015-05-30 L. Ferroni , F. Becattini

We propose a variational quantum algorithm for estimating microcanonical expectation values in models obeying the eigenstate thermalization hypothesis. Using a relaxed criterion for convergence of the variational optimization loop, the…

Quantum Physics · Physics 2023-10-16 Klée Pollock , Peter P. Orth , Thomas Iadecola

Canonical instanton theory is a widespread approach to describe the dynamics of chemical reactions in low temperature environments when tunneling effects become dominant. It is a semiclassical theory which requires locating classical…

Chemical Physics · Physics 2020-09-15 Andreas Löhle , Johannes Kästner

We present general and rigorous results showing that the microcanonical and canonical ensembles are equivalent at all three levels of description considered in statistical mechanics - namely, thermodynamics, equilibrium macrostates, and…

Statistical Mechanics · Physics 2015-05-15 Hugo Touchette

The non-extensive statistical mechanics has been used to describe a variety of complex systems. The maximization of entropy, often used to introduce the non-extensive statistical mechanics, is a formal procedure and does not easily leads to…

Statistical Mechanics · Physics 2016-02-22 Julius Ruseckas

We propose a new and universal approach to the hadronization problem that incorporates both perturbative QCD and effective field theory in their respective domains of validity and that models the transition between them in analogy to the…

High Energy Physics - Phenomenology · Physics 2016-09-01 John Ellis , Klaus Geiger

We study to what extent a measurement of the $m_\bot$ spectra for hadrons and their resonances can resolve ambiguities in statistical model description of particle production. We describe in quantitative analysis how physical assumptions…

Nuclear Theory · Physics 2009-11-07 Giorgio Torrieri , Johann Rafelski

Thermodynamics and its quantum counterpart are traditionally described with statistical ensembles. Canonical typicality has related statistical mechanics for a system to ensembles of global energy eigen- states of system and its environment…

Quantum Physics · Physics 2024-05-13 Sebastian Gemsheim , Jan M. Rost

We present a novel Ensemble Monte Carlo Growth method to sample the equilibrium thermodynamic properties of random chains. The method is based on the multicanonical technique of computing the density of states in the energy space. Such a…

Statistical Mechanics · Physics 2020-03-04 Graziano Vernizzi , Trung Dac Nguyen , Henri Orland , Monica Olvera de la Cruz

A general density-functional formalism using an extended variable-space is presented for classical fluids in the canonical ensemble (CE). An exact equation is derived that plays the role of the Ornstein-Zernike (OZ) equation in the grand…

Statistical Mechanics · Physics 2009-10-31 J. A. White , S. Velasco

The fast simultaneous hadronization and chemical freeze out of supercooled quark-gluon plasma, created in relativistic heavy ion collisions, leads to the re-heating of the expanding matter and to the change in a collective flow profile. We…

Nuclear Theory · Physics 2009-11-07 A. Keränen , L. P. Csernai , V. Magas , J. Manninen

The development of reliable methods for estimating microcanonical averages constitutes an important issue in statistical mechanics. One possibility consists of calculating a given microcanonical quantity by means of typical relations in the…

Statistical Mechanics · Physics 2015-06-11 Carlos E. Fiore , Cláudio J. DaSilva

We study the effect of enforcing exact conservation of charges in statistical models of particle production for systems as large as those relevant to relativistic heavy ion collisions. By using a numerical method developed for small…

Nuclear Theory · Physics 2014-11-18 A. Keranen , F. Becattini

The thermodynamic properties of heated nuclear matter are explored using an exactly solvable canonical ensemble model. This model reduces to the results of an ideal Fermi gas at low temperatures. At higher temperatures, the fragmentation of…

Nuclear Theory · Physics 2009-10-28 K. C. Chase , A. Z. Mekjian
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