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We present a full treatment of the microcanonical ensemble of the ideal hadron-resonance gas in a quantum-mechanical framework which is appropriate for the statistical model of hadronization. By using a suitable transition operator for…

High Energy Physics - Phenomenology · Physics 2014-11-17 F. Becattini , L. Ferroni

The exponential scaling of isotopic yields is investigated for sources of different sizes over a broad range of excitation energies and freeze-out volumes, in both primary and asymptotic stages of the decay in the framework of a…

Nuclear Theory · Physics 2007-05-23 Ad. R. Raduta

We discuss what the presently collected data tell us about the mechanism of multifragmentation by comparing the results of two different models, which assume or show an opposite reaction scenario, with the recent high statistics $4\pi$…

Nuclear Theory · Physics 2009-11-06 R. Nebauer , J. Aichelin

Calculations within the statistical multifragmentation model show that the neutron content of intermediate mass fragments can increase in the region of liquid-gas phase transition in finite nuclei. The model predicts also inhomogeneous…

Nuclear Theory · Physics 2009-11-06 A. S. Botvina , I. N. Mishustin

The thermal and phase properties of a multifragmentation model which uses clusters as degrees of freedom, are explored as a function of isospin. A good qualitative agreement is found with the phase diagram of asymmetric nuclear matter as…

Nuclear Theory · Physics 2008-11-26 Ad. R. Raduta , F. Gulminelli

The multiplicity distributions of hadrons produced in central nucleus-nucleus collisions are studied within the hadron-resonance gas model in the large volume limit. The microscopic correlator method is used to enforce conservation of three…

Nuclear Theory · Physics 2008-11-26 V. V. Begun , M. Gazdzicki , M. I. Gorenstein , M. Hauer , V. P. Konchakovski , B. Lungwitz

Thermodynamical properties of nuclear matter undergoing multifragmentation are studied within a simplified version of the statistical model. An exact analytical solution has been found for the grand canonical ensemble. Excluded volume…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

A thermodynamic model for multifragmentation which is frequently used appears to give very different values for specific heat at constant volume depending upon whether canonical or grand canonical ensemble is used. The cause for this…

Nuclear Theory · Physics 2009-11-10 C. B. Das , S. Das Gupta , A. Z. Mekjian

Here we propose the generalized statistical multifragmentation model which includes the liquid phase pressure of the most general form. This allows us to get rid of the absolute incompressibility of the nuclear liquid. Also the present…

Nuclear Theory · Physics 2011-06-30 K. A. Bugaev , A. I. Ivanytskyi , E. G. Nikonov , A. S. Sorin , G. M. Zinovjev

Because of thermal expansion and residual interactions, hot nuclear fragments produced in multifragmentation reactions may have lower nucleon density than the equilibrium density of cold nuclei. In terms of liquid-drop model this effect can…

Nuclear Theory · Physics 2008-11-26 N. Buyukcizmeci , A. S. Botvina , I. N. Mishustin , R. Ogul

Ensemble inequivalence, i.e. the possibility of observing different thermodynamic properties depending on the statistical ensemble which describes the system, is one of the hallmarks of long-range physics, which has been demonstrated in…

Statistical Mechanics · Physics 2024-08-15 Nicolò Defenu , David Mukamel , Stefano Ruffo

A simple statistical model in terms of light-front kinematic variables is used to explain the nuclear EMC effect in the range $x \in [0.2,~0.7]$, which was constructed by us previously to calculate the parton distribution functions (PDFs)…

Nuclear Theory · Physics 2010-11-02 Yunhua Zhang , Lijing Shao , Bo-Qiang Ma

We address two issues in the thermodynamic model for nuclear disassembly. Surprisingly large differences in results for specific heat were seen in predictions from the canonical and grand canonical ensembles when the nuclear system passes…

Nuclear Theory · Physics 2008-11-26 G. Chaudhuri , S. Das Gupta

In order to increase the efficiency of the computer simulation of biological molecules, it is very common to impose holonomic constraints on the fastest degrees of freedom; normally bond lengths, but also possibly bond angles. However, as…

Chemical Physics · Physics 2011-12-19 Pablo Echenique , Claudio N. Cavasotto , Pablo García-Risueño

In systems with long-range interactions, since energy is a non-additive quantity, ensemble inequivalence can arise: it is possible that different statistical ensembles lead to different equilibrium descriptions, even in the thermodynamic…

Statistical Mechanics · Physics 2018-09-05 Marco Baldovin

Equilibrium statistics of Hamiltonian systems is correctly described by the microcanonical ensemble. Classically this is the manifold of all points in the $N-$body phase space with the given total energy. Due to Boltzmann's principle,…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. The model exhibits a 1-st order phase transition of the liquid-gas type. The mixed phase region of the phase diagram, where the gas of…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

The theory of small-system thermodynamics was originally developed to extend the laws of thermodynamics to length scales of nanometers. Here we review this "nanothermodynamics," and stress how it also applies to large systems that subdivide…

Statistical Mechanics · Physics 2020-07-28 Ralph V. Chamberlin , Michael R. Clark , Vladimiro Mujica , George H. Wolf

While the canonical ensemble has been tremendously successful in capturing thermal statistics of macroscopic systems, deviations from canonical behavior exhibited by small systems are not well understood. Here, using a small two dimensional…

Statistical Mechanics · Physics 2021-01-07 Lukas Herron , Purushottam Dixit

We show insurmountable contradictions which arise if statistical ensembles are considered a consequence of the influence of the environment of the physical systems. We regard the multiplicity of states with a definite energy value as a…

Quantum Physics · Physics 2011-08-22 V. A. Skrebnev
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