Thermodynamics of a one-dimensional ideal gas with fractional exclusion statistics.
نویسندگان
چکیده
We show that the particles in the Calogero-Sutherland Model obey fractional exclusion statistics as defined by Haldane. We construct anyon number densities and derive the energy distribution function. We show that the partition function factorizes in the form characteristic of an ideal gas. The virial expansion is exactly computable and interestingly it is only the second virial coefficient that encodes the statistics information.
منابع مشابه
Generalized Lagrange theorem and thermodynamics of a multispecies quasiparticle gas with mutual fractional exclusion statistics
We discuss the relationship between the classical Lagrange theorem in mathematics and the quantum statistical mechanics and thermodynamics of an ideal gas of multispecies quasiparticles with mutual fractional exclusion statistics. First, we show that the thermodynamic potential and the density of the system are analytically expressed in terms of the language of generalized cluster expansions, w...
متن کامل1 Exclusion Statistics in a two - dimensional trapped Bose gas
We briefly explain the notion of exclusion statistics and in particular discuss the concept of an ideal exclusion statistics gas. We then review a recent work where it is demonstrated that a two-dimensional Bose gas with repulsive delta function interactions obeys ideal exclusion statistics, with a fractional parameter related to the interaction strength. PACS numbers: 05.30.Pr, 05.30.Jp, 03.75...
متن کاملJ un 1 99 7 Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids
Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting scheme, involving different assumptions on statistical correlations. Thermal activation of quasiparticle pairs and thermodynamic properties of the fractional quantum Hall liquids ne...
متن کاملEquation of State and Virial Coefficients of an Ideal Gas with Fract10nal Exclusion Statistics in Arbitrary Diiv Iensions
Equation of state and viriai coefficients of an ideal gas with fractional exclusion (i.L. ualdane_wu) statistics in arbitrary dimensions are derived herein, using the quantum statistical mecha,nics formulation for pressure and density of the system in terms of the D-dimensional momentum representation. The relationship between the convergence of the virial expansion and the existence of condens...
متن کاملStatistical mechanics and thermodynamics for multispecies exclusion statistics
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 di...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review letters
دوره 73 25 شماره
صفحات -
تاریخ انتشار 1994