Random Walks Systems with Finite Lifetime on Z

Random Walks Systems with Finite Lifetime on Z

We consider a non-homogeneous random walks system on Z in which each active particle performs a nearest neighbor random walk and activates all inactive particles it encounters up to a total amount of L jumps. We present necessary and sufficient conditions for the process to survive, which means that...

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Veröffentlicht in:Journal of statistical physics 2016-02, Vol.162 (3), p.727-738
Hauptverfasser: Lebensztayn, Elcio, Machado, Fábio Prates, Martinez, Mauricio Zuluaga
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Zusammenfassung:We consider a non-homogeneous random walks system on Z in which each active particle performs a nearest neighbor random walk and activates all inactive particles it encounters up to a total amount of L jumps. We present necessary and sufficient conditions for the process to survive, which means that an infinite number of random walks become activated.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-015-1418-3