Dynamical transition on the periodic Lorentz gas: Stochastic and deterministic approaches

Rafael Mateus Feliczaki, Eduardo Vicentini, and Pedro Pablo González-Borrero
Phys. Rev. E 96, 052117 – Published 13 November 2017

Abstract

The effect of dynamical properties of the periodic Lorentz gas on the autocorrelation function and diffusion coefficient are investigated in various geometric transitions between billiards without horizon and infinite horizon. Numerical simulations are performed using a double square lattice which permits us to isolate different types of corridors and to describe the individual effects of each corridor. The results are compared with a stochastic model based on a escape-rate formalism which reveals the sensibility of the diffusion coefficient and clarifies the role of the open corridors mechanism on the dynamical transitions

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  • Received 9 May 2016
  • Revised 8 August 2017

DOI:https://doi.org/10.1103/PhysRevE.96.052117

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Rafael Mateus Feliczaki*, Eduardo Vicentini, and Pedro Pablo González-Borrero

  • Departamento de Física, Universidade Estadual do Centro-Oeste, Simeão Camargo Varela de Sá 3, 85040-080 Guarapuava PR, Brazil

  • *feliczaki.r.m@gmail.com
  • evicentini@unicentro.br
  • gonzalez@unicentro.br

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Issue

Vol. 96, Iss. 5 — November 2017

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