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Enforcing exact conservation laws instead of average ones in statistical thermal models for relativistic heavy ion reactions gives raise to so called canonical effect, which can be used to explain some enhancement effects when going from…

Nuclear Theory · Physics 2008-11-26 A. Keranen , F. Becattini

Strangeness enhancement (SE) in heavy ion collisions can be understood in the statistical model on the basis of canonical suppression. In this formulation,SE is a consequence of the transition from canonical to the asymptotic grand…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Tounsi , A. Mischke , Krzysztof Redlich

Finite volume corrections to higher moments are important observable quantities. They make possible to differentiate between different statistical ensembles even in the thermodynamic limit. It is shown that this property is a universal one.…

High Energy Physics - Theory · Physics 2010-11-11 Ludwik Turko

The probability distributions for charged particle numbers and their densities are derived in statistical ensembles with conservation laws. It is shown that if this limit is properly taken then the canonical and grand canonical ensembles…

High Energy Physics - Theory · Physics 2007-05-23 J. Cleymans , K. Redlich , L. Turko

We develop a regularization of the quantum microcanonical ensemble, called a Gaussian ensemble, which can be used for derivation of the canonical ensemble from microcanonical principles. The derivation differs from the usual methods by…

Statistical Mechanics · Physics 2008-11-26 Jani Lukkarinen

We examine a generalization of the binomial distribution associated with a strictly increasing sequence of numbers and we prove its Poisson-like limit. Such generalizations might be found in quantum optics with imperfect detection. We…

Mathematical Physics · Physics 2015-05-28 E. M. F. Curado , J. P. Gazeau , Ligia M. C. S. Rodrigues

Various phenomenological models of particle multiplicity distributions are discussed using a general form of the grand canonical partition function. These phenomenological models include a wide range of varied processes such as coherent…

Nuclear Theory · Physics 2007-05-23 S. J. Lee , A. Z. Mekjian

We investigate the critical scaling behavior of finite systems in the canonical ensemble. The essential difference with the grand canonical ensemble. i.e., the constraint on the number of particles, is already known to lead to the Fisher…

Statistical Mechanics · Physics 2007-05-23 Youjin Deng , Henk W. J. Blote

In this paper we develop a simple theory to study the effects of ionic size on ionic distributions around a charged spherical particle. We include a correction to the regular Poisson-Boltzmann equation in order to take into account the size…

Soft Condensed Matter · Physics 2017-08-30 Thiago Colla , Lucas Nunes Lopes , Alexandre P. dos Santos

We review the overlap pathology of the Glasgow reweighting method for finite density QCD, and discuss the sampling bias that effects the determination of the ensemble-averaged fugacity polynomial expansion coefficients that form the Grand…

High Energy Physics - Lattice · Physics 2009-11-07 P. R. Crompton

Traditionally, quantum amplification limit refers to the property of inevitable noise addition on canonical variables when the field amplitude of an unknown state is linearly transformed through a quantum channel. Recent theoretical studies…

Quantum Physics · Physics 2015-09-30 Ryo Namiki

We study the canonical flavor enhancement arising from exact conservation of strangeness, and charm flavor. Both the theoretical motivation, and the practical consequences are explored. We argue using qualitative theoretical arguments and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johann Rafelski , Jean Letessier

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

It is shown that in equilibrium a canonical ensemble of particles with two-particle interaction the Gibbs distribution function may be expressed uniquely through a pair distribution function. It means, that for given values of the particle…

Statistical Mechanics · Physics 2007-05-23 M. I. Kalinin

We demonstrate the essential role of canonical suppression in strangeness enhancement. The pattern of enhancement of strange and multistrange baryons observed by the WA97 collaboration can be understood on this basis. Besides, it is shown…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ahmed Tounsi , Krzysztof Redlich

In this paper the generalization of the Poisson distribution is derived for the case when each consecutive event changes event rate. A simple formula for the probability of observing of a given number of events for the selected period of…

Data Analysis, Statistics and Probability · Physics 2014-01-06 E. A. Kushnirenko

We report the higher order cumulants and their ratios for baryon, charge and strangeness multiplicity in canonical and grand-canonical ensembles in ideal thermal model including all the resonances. When the number of conserved quanta is…

Nuclear Theory · Physics 2016-02-11 P. Garg , D. K. Mishra , P. K. Netrakanti , A. K. Mohanty

The particle number and energy fluctuations in the system of charged particles are studied in the canonical ensemble for non-zero net values of the conserved charge. In the thermodynamic limit the fluctuations in the canonical ensemble are…

Nuclear Theory · Physics 2011-07-19 V. V. Begun , M. I. Gorenstein , O. S. Zozulya

Strange particle enhancement in relativistic ion collisions is discussed with particular attention to the dependence on the size of the volume and/or the baryon number of the system.

Nuclear Theory · Physics 2007-05-23 Azwinndini Muronga , Jean Cleymans

We report on novel Brownian, yet non-Gaussian diffusion, in which the mean square displacement of the particle grows linearly with time, the probability density for the particle spreading is Gaussian-like, however, the probability density…

Statistical Mechanics · Physics 2020-10-28 K. Białas , J. Łuczka , P. Hänggi , J. Spiechowicz
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