Abstract. We present a method aimed at a stochastic derivation of theequilibrium distribution of a classical/quantum ideal gas in the framework ofthe canonical ensemble. The time evolution of these ideal systems is modelledas a series of transitions from one system microstate to another one and thermalequilibrium is reached via a random walk in the single-particle state space.We look at this dynamic process as a Markov chain satisfying the condition ofdetailed balance and propose a variant of the Monte Carlo Metropolis algorithmable to take into account indistinguishability of identical quantum particles.Simulations performed on different two-dimensional (2D) systems are revealedto be capable of reproducing the correct trends of the distribution functions andother thermodynamic properties. The simulations allow us to show that, awayfrom the thermodynamic limit, a pseudo-Bose–Einstein condensation occurs fora 2D ideal gas of bosons.
|Rivista||Journal of Statistical Mechanics: Theory and Experiment|
|Stato di pubblicazione||Published - 2009|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty