A Stochastic Approach to Quantum Statistics Distributions: Theoretical Derivation and Monte Carlo Modelling

Ivan Guastella, Rosa Maria Mineo, Leonardo Bellomonte

Risultato della ricerca: Articlepeer review

5 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)1-11
RivistaJournal of Statistical Mechanics: Theory and Experiment
VolumeP02021
Stato di pubblicazionePublished - 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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