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Particle number fluctuations are studied in the ideal pion gas approaching Bose-Einstein condensation. Two different cases are considered: Bose condensation of pions at large charge densities $\rho_Q$ and Bose condensation at large total…

高能物理 - 唯象学 · 物理学 2011-07-19 Viktor Begun , Mark Gorenstein

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…

核理论 · 物理学 2011-07-19 F. Becattini , A. Keranen , L. Ferroni , T. Gabbriellini

We calculate certain features of Bose-Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are…

统计力学 · 物理学 2016-08-16 W. J. Mullin , J. P. Fernández

We consider a non-ideal hot pion gas with the dynamically fixed number of particles in the model with the $\lambda\phi^4$ interaction. The effective Lagrangian for the description of such a system is obtained after dropping the terms…

核理论 · 物理学 2018-04-04 E. E. Kolomeitsev , D. N. Voskresensky

We study the behavior of the non-ideal pion gas with the dynamically fixed number of particles, formed on an intermediate stage in ultra-relativistic heavy-ion collisions. The pion spectrum is calculated within the self-consistent Hartree…

核理论 · 物理学 2019-10-22 E. E. Kolomeitsev , D. N. Voskresensky , M. E. Borisov

We present microcanonical ensemble calculations of particle number fluctuations in the ideal pion gas approaching Bose-Einstein condensation. In the samples of events with a fixed number of all pions, $N_{\pi}$, one may observe a prominent…

高能物理 - 唯象学 · 物理学 2008-11-26 V. V. Begun , M. I. Gorenstein

The statistical system of pions with zero total isospin is studied. The suppression effects for the average yields due to isospin conservation are the same for $\pi^0$, $\pi^+$ and $\pi^-$. However, a behavior of the corresponding particle…

核理论 · 物理学 2014-11-20 V. V. Begun , M. I. Gorenstein , O. A. Mogilevsky

This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the system is governed by the canonical ensemble. As a result of the…

概率论 · 数学 2014-03-05 Sourav Chatterjee , Persi Diaconis

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in…

统计力学 · 物理学 2009-10-31 Peter Borrmann , Jens Harting , Oliver Muelken , Eberhard R. Hilf

We question the validity of the grand canonical ensemble for the description of Bose-Einstein condensation of small ideal Bose gas samples in isolated harmonic traps. While the ground state fraction and the specific heat capacity can be…

统计力学 · 物理学 2008-02-03 Siegfried Grossmann , Martin Holthaus

The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

量子气体 · 物理学 2015-05-13 V. I. Yukalov

We derive exact thermodynamic identities relating the average number of condensed atoms and the root-mean-square fluctuations determined in different statistical ensembles for the weakly interacting Bose gas confined in a box. This is…

凝聚态物理 · 物理学 2009-10-31 Fabrizio Illuminati , Patrick Navez , Martin Wilkens

Based on the canonical ensemble, we suggested the simple scheme for taking into account Gaussian fluctuations in a finite system of ideal boson gas. Within framework of scheme we investigated the influence of fluctuations on the particle…

统计力学 · 物理学 2015-06-04 A Petrova , O Nedopekin , D Tayurskii , Q A Wang

Neutral pion number fluctuations have been measured in proton interactions at U-70 accelerator (IHEP, Protvino). The experiment is carried out on the SVD-2 setup. Charged and neutral particles are registered simultaneously. The…

高能物理 - 实验 · 物理学 2011-10-14 Elena Kokoulina

For a non-self-interacting Bose gas with a fixed, large number of particles confined to a trap, as the ground state occupation becomes macroscopic, the condensate number fluctuations remain micrscopic. However, this is the only significant…

量子物理 · 物理学 2008-11-26 H. David Politzer

Recursion formulae of the N-particle partition function, the occupation numbers and its fluctuations are given using the single-particle partition function. Exact results are presented for fermions and bosons in a common one-dimensional…

统计力学 · 物理学 2015-06-25 H. -J. Schmidt , J. Schnack

An asymptotic expansions for the grand partition function of ideal Bose gas in the canonical ensemble with arbitrary number of particles is obtained. It is shown that the expressions found are valid in the whole temperature region, the…

超导电性 · 物理学 2015-05-14 A. I. Bugrij , V. M. Loktev

The notion of fluctuation indices, characterizing thermodynamic stability of statistical systems, is advanced. These indices are especially useful for investigating the stability of nonuniform and trapped atomic assemblies. The fluctuation…

量子气体 · 物理学 2015-05-19 V. I. Yukalov

The charged hadron multiplicity fluctuations are considered in the canonical ensemble. The microscopic correlator method is extended to include three conserved charges: baryon number, electric charge and strangeness. The analytical formulae…

核理论 · 物理学 2008-11-26 V. V. Begun , M. I. Gorenstein , M. Hauer , V. P. Konchakovski , O. S. Zozulya

The atom fluctuations statistics of an ideal, mesoscopic, Bose-Einstein condensate is investigated from several different perspectives. By generalizing the grand canonical analysis (applied to the canonical ensemble problem), we obtain a…

其他凝聚态物理 · 物理学 2007-05-23 Andrew N. Jordan , C. H. Raymond Ooi , Anatoly A. Svidzinsky
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