Thermodynamics of Statistical Anyons

On Thermodynamics of Multispecies Anyons

We address the problem of multispecies anyons, i.e. particles of different species whose wave function is subject to anyonlike conditions. The cluster and virial coefficients are considered. Special attention is paid to the case of anyons in the lowest Landau level of a strong magnetic field, when it is possible (i) to prove microscopically the equation of state, in particular in terms of Aharo...

Statistical interparticle potential between two anyons.

The density matrix of a two-anyon system is evaluated and used to investigate the “statistical interparticle potential” following the theory of Uhlenbeck. The main purpose is to see how the statistical potential will depend on the fractional statistical parameter α. The result shows that the statistical potential for a two-anyon system with α ≥ 1 2 is always repulsive. For the system with 0 < α...

Statistical Thermodynamics - Fall 2009

Molecular theory can be considered as a preliminary to statistical physics. While the latter employs a more sophisticated formalism encompassing quantum-mechanical systems, the former operates with a classical ideal gas. Molecular theory studies the relation between the temperature of the gas and the kinetic energy of the molecules, pressure on the walls due to the impact of the molecules, dist...

Thermodynamics and Statistical Physics

Statistical thermodynamics of economic systems

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic variables and their determination is reduced to the computation of the partition function, starting from an arbitrary function. Explicit hypothetical example...