Year: 1995
Type: article
Abstract: 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 simple harmonic potential (constant density of states), we obtain the exact one-particle spatial density and a closed form for the equation of state at finite temperature, which are both new results. We then solve the problem of particles in a ${x}^{2/3}$ potential (linear density of states) and show that Bose-Einstein condensation does not occur for any statistics other than bosons.
Source: Physical Review Letters
Authors: Diptiman Sen, R. K. Bhaduri
Institution: Indian Institute of Science Bangalore
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2069501443