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Related papers: Fractional Exclusion Statistics for the Multicompo…

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We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

A new distribution for systems of particles in equilibrium obeying exclusion of correlated states is presented following the Haldane's state counting. It relies upon an ansatz to deal with the multiple exclusion that takes place when the…

Statistical Mechanics · Physics 2019-07-24 Julian J. Riccardo , Jose L. Riccardo , Antonio J. Ramirez-Pastor , Marcelo P. Pasinetti

We study the impact of the inter-level energy constraints imposed by Haldane Exclusion Statistics on relaxation processes in 1-dimensional systems coupled to a bosonic bath. By formulating a second-quantized description of the relevant Fock…

Strongly Correlated Electrons · Physics 2022-03-14 Bo Xiong , Fiona J. Burnell

Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this note we study the effects of exclusion statistics on thermal activation of quasiparticle pairs in the approximation of…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 J. Shiraishi , M. Kohmoto , Y. S. Wu

We consider the generalized exclusion statistics in the Kondo problem. The thermodynamic Bethe ansatz equations have been used for a multicomponent system of particles obeying the generalized exclusion principle. We have found a relation…

Condensed Matter · Physics 2015-06-25 A. P. Protogenov , V. A. Verbus

The underlying connection between the degrees of freedom of a system and its nonextensive thermodynamic behavior is addressed. The problem is handled by starting from a thermodynamical system with fractal structure and its analytical…

Statistical Mechanics · Physics 2021-09-17 A. Deppman , J. A. S. Lima

The agreement between the fragments' internal and kinetic temperatures with the breakup temperature is investigated using a Statistical Multifragmentation Model which makes no a priori as- sumption on the relationship between them. We thus…

Nuclear Theory · Physics 2015-09-02 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , M. B. Tsang

Analysis of experimental kinetic dependences and results of the computer modeling of pairwise interactions in the heterogeneous system have shown that a character of its fractal property variation in the evolution process would be different…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 K. S. Baktybekov , S. G. Karstina , E. N. Vertyagina , A. A. Baratova

The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Some possible mechanisms that could give rise to non-extensive statistics have been formulated along the last few years,…

High Energy Physics - Phenomenology · Physics 2018-12-05 Eugenio Megias , Airton Deppman , Tobias Frederico , Debora P. Menezes

In the theoretical modelling of a physical system a crucial step consists in the identification of those degrees of freedom that enable a synthetic, yet informative representation of it. While in some cases this selection can be carried out…

Statistical Mechanics · Physics 2020-06-30 Marco Giulini , Roberto Menichetti , M. Scott Shell , Raffaello Potestio

New formulas are given for the grand partition function of paraboson systems of order p with n orbitals and parafermion systems of order p with m orbitals. These formulas allow the computation of statistical and thermodynamic functions for…

Statistical Mechanics · Physics 2020-10-09 N. I. Stoilova , J. Van der Jeugt

A low density binary mixture of granular gases is considered within the Boltzmann kinetic theory. One component, the intruders, is taken to be dilute with respect to the other, and thermal segregation of the two species is described for a…

Statistical Mechanics · Physics 2013-05-06 J. Javier Brey , Nagi Khalil , James W. Dufty

We analysed the identified hadron multiplicity predictions of the modified thermodynamical model of the multiparticle production processes with non-extensive statistic. The replacement of the standard Boltzmann exponential factor by the…

High Energy Physics - Phenomenology · Physics 2015-06-15 T. Wibig

The paper is devoted to further development of the new approach in equilibrium statistical mechanics the basis of which was worked out in a series of articles by the author. The approach proceeds on the use of a hierarchy of equations for…

Quantum Physics · Physics 2008-10-17 V. A. Golovko

In Phys. Rev. Lett. 67, 937 (1991) [1], Haldane introduced the fruitful concept of fractional exclusion statistics (FES). One of the most influential papers in which the thermodynamics of FES systems was deduced is Y.-S. Wu, Phys. Rev.…

Statistical Mechanics · Physics 2015-05-14 Dragoş-Victor Anghel

The aim of the present paper is to provide a preliminary investigation of the thermodynamics of particles obeying monotone statistics. To render the potential physical applications realistic, we propose a modified scheme called…

Mathematical Physics · Physics 2023-01-27 Fabio Ciolli , Francesco Fidaleo , Chiara Marullo

We discuss the problem of partitioning a macroscopic system into a collection of independent subsystems. The partitioning of a system into replica-like subsystems is nowadays a subject of major interest in several field of theoretical and…

Mathematical Physics · Physics 2017-09-13 Luigi Delle Site , Giovanni Ciccotti , Carsten Hartmann

A dilute suspension of impurities in a low density gas is described by the Boltzmann and Boltzman-Lorentz kinetic theory. Scaling forms for the species distribution functions allow an exact determination of the hydrodynamic fields, without…

Statistical Mechanics · Physics 2015-03-18 J. Javier Brey , Nagi Khalil , James W. Dufty

We use the Thomas-Fermi method to examine the thermodynamics of particles obeying Haldane exclusion statistics. Specifically, we study Calogero-Sutherland particles placed in a given external potential in one dimension. For the case of a…

Condensed Matter · Physics 2009-10-22 Diptiman Sen , R. K. Bhaduri

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

Statistical Mechanics · Physics 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks