Physics – Condensed Matter
Scientific paper
1997-01-21
Nucl.Phys. B504 (1997) 701
Physics
Condensed Matter
19 pages, LATEX 2.09
Scientific paper
10.1016/S0550-3213(97)00535-X
Statistical mechanics and thermodynamics for ideal fractional exclusion statistics with mutual statistical interactions is studied systematically. We discuss properties of the single-state partition functions and derive the general form of the cluster expansion. Assuming a certain scaling of the single-particle partition functions, relevant to systems of noninteracting particles with various dispersion laws, both in a box and in an external harmonic potential, we derive a unified form of the virial expansion. For the case of a symmetric statistics matrix at a constant density of states, the thermodynamics is analyzed completely. We solve the microscopic problem of multispecies anyons in the lowest Landau level for arbitrary values of particle charges and masses (but the same sign of charges). Based on this, we derive the equation of state which has the form implied by exclusion statistics, with the statistics matrix coinciding with the exchange statistics matrix of anyons. Relation to one-dimensional integrable models is discussed.
Isakov Serguei B.
Mashkevich Stefan
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