A quasispecies continuous contact model in a critical regime
| Autor: | Elena Zhizhina, Sergey Pirogov, Yuri Kondratiev |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Correlation functions 010102 general mathematics Mathematical analysis FOS: Physical sciences Statistical and Nonlinear Physics Viral quasispecies Mathematical Physics (math-ph) Invariant (physics) Contact model Poisson distribution 01 natural sciences Conserved quantity symbols.namesake Marked configurations Continuous contact model Statistical dynamics 0103 physical sciences symbols Kondratiev wave 010307 mathematical physics 0101 mathematics Particle density Quantum Mathematical Physics |
| DOI: | 10.48550/arxiv.1601.07841 |
| Popis: | We study a new non-equilibrium dynamical model: a marked continuous contact model in $d$-dimensional space ($d \ge 3$). We prove that for certain values of rates (the critical regime) this system has the one-parameter family of invariant measures labelled by the spatial density of particles. Then we prove that the process starting from the marked Poisson measure converges to one of these invariant measures. In contrast with the continuous contact model studied earlier in \cite{KKP}, now the spatial particle density is not a conserved quantity. Comment: The final publication is available at Springer via http://dx.doi.org/10.1007/s10955-016-1480-5, Journal of Statistical physics, 2016 |
| Databáze: | OpenAIRE |
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