Volume 112, Number 3, November 2015
|Number of page(s)||6|
|Published online||30 November 2015|
Ergodicity-breaking bifurcations and tunneling in hyperbolic transport models
1 DICMA, Facoltà di Ingegneria, La Sapienza Università di Roma - via Eudossiana 18, 00184 Roma, Italy
2 Dipartimento di Ingegneria Industriale, Università di Salerno - via Giovanni Paolo II 132, 84084 Fisciano (SA) Italy
3 Dipartimento di Ingegneria Chimica, dei Materiali e della Produzione Industriale, Università degli Studi di Napoli “Federico II” - piazzale Tecchio 80, 80125 Napoli, Italy
Received: 30 July 2015
Accepted: 30 October 2015
One of the main differences between parabolic transport, associated with Langevin equations driven by Wiener processes, and hyperbolic models related to generalized Kac equations driven by Poisson processes, is the occurrence in the latter of multiple stable invariant densities (Frobenius multiplicity) in certain regions of the parameter space. This phenomenon is associated with the occurrence in linear hyperbolic balance equations of a typical bifurcation, referred to as the ergodicity-breaking bifurcation, the properties of which are thoroughly analyzed.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ey – Stochastic processes / 05.70.-a – Thermodynamics
© EPLA, 2015
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