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Microcanonical thermodynamics (MT) is analysed for phase transitions of first and second order in finite systems. The transiton temperature, the latent heat and the surface tension of first order transitions can easily be determined by MT…

核理论 · 物理学 2007-05-23 D. H. E. Gross

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…

统计力学 · 物理学 2018-09-05 Marco Baldovin

Two-particle momentum correlations of $N$ identical bosons are studied in the quantum canonical ensemble. We define the latter as a properly selected subensemble of events associated with the grand canonical ensemble which is characterized…

高能物理 - 唯象学 · 物理学 2021-08-06 M. D. Adzhymambetov , S. V. Akkelin , Yu. M. Sinyukov

The status of thermal model descriptions of particle production in heavy ion collisions is presented. We discuss the formulation of statistical models with different implementation of the conservation laws and indicate their applicability…

核理论 · 物理学 2016-11-23 P. Braun-Munzinger , K. Redlich , J. Stachel

A study of the correlation between nuclear temperatures and symmetry energy is presented for heavy-ion collisions at intermediate energies via the isospin-dependent quantum molecular-dynamics model. It is found that different symmetry…

核理论 · 物理学 2022-08-10 Fan Zhang , Kai-Lei Wang , Li-Ding Jin , Hui-Xiao Duan , Cheng Li

We devise a hierarchy of computational algorithms to enumerate the microstates of a system comprising N independent, distinguishable particles. An important challenge is to cope with integers that increase exponentially with system size,…

计算物理 · 物理学 2015-05-28 Trisha Salagaram , Nithaya Chetty

The aim of this tutorial is to analyze the equilibrium properties of some simple but widely used quantum systems. The canonical ensemble is used to evaluate the required properties here.

统计力学 · 物理学 2016-03-29 Jishad Kumar , Ebad Kamil

Phase transitions in nuclei, small atomic clusters and self-gravitating systems demand the extension of thermo-statistics to ``Small'' systems. The main obstacle is the thermodynamic limit. It is shown how the original definition of the…

统计力学 · 物理学 2017-08-23 D. H. E. Gross

A statistical-type model is developed to describe the ion production and electron emission in collisions of (molecular) ions with atoms. The model is based on the Boltzmann population of the bound electronic energy levels of the quasi…

原子物理 · 物理学 2016-08-19 Zoltán Juhász

We investigate the relation between various statistical ensembles of finite systems. If ensembles differ at the level of fluctuations of the order parameter, we show that the equations of states can present major differences. A sufficient…

统计力学 · 物理学 2009-11-07 F. Gulminelli , Ph. Chomaz

The microcanonical ensemble is in important physical situations different from the canonical one even in the thermodynamic limit. In contrast to the canonical ensemble it does not suppress spatially inhomogeneous configurations like phase…

凝聚态物理 · 物理学 2007-05-23 D. H. E. Gross , M. E. Madjet

An examination of thermal models leads to the important signature of the expected critical behavior of the hadronic matter. A presentation is mainly devoted to the final volume effects. Canonical suppression factor are calculated.

高能物理 - 唯象学 · 物理学 2009-01-19 Ludwik Turko

The effect of the Coulomb interaction on the phase diagram of finite nuclei is studied within the Canonical Thermodynamic Model. If Coulomb effects are artificially switched off, this model shows a phenomenology consistent with the…

核理论 · 物理学 2008-12-18 G. Chaudhuri , S. Das Gupta , F. Gulminelli

Following a recent proposal, we consider the most general structure possible for the Hamiltonian operator associated with the Quantum Isolated Horizon(QIH) with explanations of the underlying physical motivations. An extensive thermodynamic…

广义相对论与量子宇宙学 · 物理学 2014-07-18 Abhishek Majhi

Equilibrium statistical mechanics is intended to link the microscopic dynamics of particles to the thermodynamic laws for macroscopic quantities. However, the modern statistical theory is faced with significant difficulties, as applied to…

统计力学 · 物理学 2016-03-15 A. G. Godizov , A. A. Godizov

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…

核理论 · 物理学 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

The large body of experimental data on nuclear fission is analyzed with a semi-empirical ordering scheme based on the macro-microscopic approach and the separability of compound-nucleus and fragment properties on the fission path. We apply…

核实验 · 物理学 2008-11-26 Karl-Heinz Schmidt , Aleksandra Kelic , Maria Valentina Ricciardi

Preparing thermal equilibrium states is an essential task for finite-temperature quantum simulations. In statistical mechanics, microstates in thermal equilibrium can be obtained from statistical ensembles. To date, numerous ensembles have…

量子物理 · 物理学 2025-05-23 Yasushi Yoneta

Macroscopic thermodynamics of equilibrium is constructed for systems obeying power-law canonical distributions. With this, the connection between macroscopic thermodynamics and microscopic statistical thermodynamics is generalized. This is…

统计力学 · 物理学 2009-10-31 Sumiyoshi Abe , A. K. Rajagopal

Based on the view that thermal equilibrium should be characterized through macroscopic observations, we develop a general theory about typicality of thermal equilibrium and the approach to thermal equilibrium in macroscopic quantum systems.…

统计力学 · 物理学 2018-08-02 Hal Tasaki