Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9411112 · Journal of Statistical Physics

Haldane exclusion statistics and the Boltzmann equation

R. K. Bhaduri, Rajeev S. Bhalerao, M. V. N. Murthy

Published Mar 1, 1996• 17 citations
arXivHTMLPDF
DOI
10.1007/bf02183398

Related papers

von Neumann Entropy Associated with the Haldane Exclusion Statistics

A. K. Rajagopal

Physical Review Letters•Sep 18, 1995•4 citations

An interpolation between Bose, Fermi and Maxwell-Boltzmann statistics based on Jack Polynomials

S. Chaturvedi, Venkatraman Srinivasan

An interpolation between the canonical partition functions of Bose, Fermi and Maxwell-Boltzmann statistics is proposed. This interpolation makes use of the properties of Jack polynomials and leads to a physically appealing interpolation between the statistical weights of the three statistics. This, in turn, can be used to define a new exclusion statistics in the spirit of the work of Haldane.

arXiv:hep-th/9608153•Aug 22, 1996•0 citations

Applications of Boltzmann Statistics

Walter Greiner, Ludwig Neise, Horst Stöcker B

Springer eBooks•Jan 1, 1995•0 citations

Haldane liquid with mutual exclusion statistics

Kazumoto Iguchi

I study basic properties of a Haldane liquid with mutual exclusion statistics (MES), which is a liquid of quasiparticles interacting only through the MES that are assumed to be parameters as usually done in the definition of Haldane statistics. By this approximation for the statistics, I obtain the following: The ground state of the system has multiple pseudo--Fermi surfaces for all species of quasiparticles when $T=0,$ where the pseudo--Fermi surface for each species exhibits the particle-hole asymmetry. I define the dressed energies so as to satisfy the Sutherland-Wu (SW) functional equations that are the defining relations for the MES, from which the elementary excitations near the ground state are given. And finally, I show that the SW equations have an unusual type of duality such as spin-charge duality in the system.

Physical review. B, Condensed matter•May 15, 2000•7 citations

On a Boltzmann equation for Haldane statistics

Leif Arkeryd, Anne Nouri

The paper is a study of quantum quasi-particles obeying Haldane statistics in a fully non-linear kinetic Boltzmann equation model with large initial data on a torus. Strong L1 \nsolutions are obtained for the Cauchy problem. The main results concern existence, uniqueness, and stability. Depending on the space dimension and the collision kernel, the results obtained are local or global in time.

•Jan 1, 2017•0 citations

Quantum statistics and Boltzmann kinetics

Series in condensed matter physics•Oct 1, 2003•0 citations
I study basic properties of a Haldane liquid with mutual exclusion statistics (MES), which is a liquid of quasiparticles interacting only through the MES that are assumed to be parameters as usually done in the definition of Haldane statistics. By this approximation for the statistics, I obtain the following: The ground state of the system has multiple pseudo--Fermi surfaces for all species of quasiparticles when T=0,T=0,T=0, where the pseudo--Fermi surface for each species exhibits the particle-hole asymmetry. I define the dressed energies so as to satisfy the Sutherland-Wu (SW) functional equations that are the defining relations for the MES, from which the elementary excitations near the ground state are given. And finally, I show that the SW equations have an unusual type of duality such as spin-charge duality in the system.