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Bose-Einstein condensation represents a remarkable phase transition, characterized by the formation of a single quantum subsystem. As a result, the statistical properties of the condensate are highly unique. In the case of a Bose gas, while…

Equilibrium statistics of finite Hamiltonian systems is fundamentally described by the microcanonical ensemble (ME). Canonical, or grand-canonical partition functions are deduced from this by Laplace transform. Only in the thermodynamic…

核理论 · 物理学 2008-11-26 D. H. E. Gross

We study the grand-canonical ensemble with a fluctuating number of degrees of freedom in the context of generalized thermostatistics. Several choices of grand-canonical entropy functional are considered. The ideal gas is taken as an…

统计力学 · 物理学 2009-11-10 Jan Naudts , Erik Van der Straeten

We have obtained an exact expression for the phase-space volume corresponding to a microcanonical ensemble of systems under center of mass, total linear and angular momenta conservation constraints, and arbitrary constraints on the…

统计力学 · 物理学 2013-05-08 I. H. Umirzakov

The equivalence of thermodynamic results in the canonical and the microcanonical ensembles has been questioned in some calculations for spin models with long-range interactions. We show that these claims of inequivalence are related to an…

统计力学 · 物理学 2015-01-19 Vera B. Henriques , Silvio R. Salinas

A quantum statistical model of nuclear multifragmentation is proposed. The recurrence equation method used within the canonical ensemble makes the model solvable and transparent to physical assumptions and allows to get results without…

核理论 · 物理学 2009-10-31 A. S. Parvan , V. D. Toneev , M. Ploszajczak

A possible quantum-mechanical origin of statistical mechanics is discussed, and microcanonical and canonical ensembles of bosons and fermions are derived from the stationary Schr\"odinger equation in a unified manner. The interaction…

统计力学 · 物理学 2018-03-02 Yuho Yokoi , Sumiyoshi Abe

We present an alternative formalism of quantum mechanics tailored to statistical ensemble in phase space. The purpose of our work is to show that it is possible to establish an alternative autonomous formalism of quantum mechanics in phase…

量子物理 · 物理学 2018-11-20 Chol Jong , Byong-Il Ri , Song-Guk Kim , Son-Il Jo , Shin-Hyok Jon , Namchol Choe

Statistical hadronization models are extremly succesful in describing measured ratios of hadrons produced in heavy-ion collisions for a wide range of beam energies from SIS to RHIC. Using the idea of statistical hadronization at the phase…

高能物理 - 唯象学 · 物理学 2016-09-06 Thorsten Renk

We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of canonical ensemble for a fixed number of particles which obey Bose-Einstein,…

数学物理 · 物理学 2007-05-23 H. Tamura , K. R. Ito

Due to the equivalence of the statistical ensembles thermostatic properties of physical systems with short-range interactions can be calculated in different ensembles leading to the same physics. In particular, the ensemble equivalence…

统计力学 · 物理学 2009-11-11 Hans Behringer

I present a theoretical model of a quantum statistical ensemble for which, unlike in conventional physics, the total number of particles is extremely small. The thermodynamical quantities are calculated by taking a small $N$ by virtue of…

量子物理 · 物理学 2010-01-15 Enrico Prati

I propose a numerical simulation algorithm for statistical systems which combines a microcanonical transfer of energy with global changes in clusters of spins. The advantages of the cluster approach near a critical point augment the speed…

高能物理 - 格点 · 物理学 2009-10-22 Michael Creutz

In this initial paper in a series, we first discuss why classical motions of small particles should be treated statistically. Then we show that any attempted statistical description of any nonrelativistic classical system inevitably yields…

量子物理 · 物理学 2014-09-22 G. H. Goedecke

The statistical mechanics of quantum-classical systems with holonomic constraints is formulated rigorously by unifying the classical Dirac bracket and the quantum-classical bracket in matrix form. The resulting Dirac quantum-classical…

量子物理 · 物理学 2016-09-08 Alessandro Sergi

We recently introduced a completely new way to study ultrarelativistic nuclear scattering by providing a link between the string model approach and a statistical description. A key issue is the microcanonical treatment of hadronizing…

核理论 · 物理学 2008-11-26 Klaus WERNER , Joerg AICHELIN

Average multiplicities and transverse momenta of hadrons are calculated using a microcanonical hadronization description for a cluster of given total energy and volume. As a function of the total energy, we determine the critical volume…

高能物理 - 唯象学 · 物理学 2009-11-10 F. M. Liu , K. Werner , J. Aichelin

The sensitivity of the Statistical Multifragmentation Model to the underlying statistical assumptions is investigated. We concentrate on its micro-canonical, canonical, and isobaric formulations. As far as average values are concerned, our…

核理论 · 物理学 2009-11-11 C. E. Aguiar , R. Donangelo , S. R. Souza

The capabilities of a new approach towards the foundations of Statistical Mechanics are explored. The approach is genuine quantum in the sense that statistical behavior is a consequence of objective quantum uncertainties due to entanglement…

量子物理 · 物理学 2010-03-29 Christian Gogolin

Employing different statistical ensembles may lead to qualitatively different results concerning averages of physical observables on the mesoscopic scale. Here we discuss differences between the canonical and the grandcanonical ensembles…

介观与纳米尺度物理 · 物理学 2015-06-25 Alex Kamenev , Yuval Gefen