A Quasispecies Continuous Contact Model in a Critical Regime

作者：Kondratiev Yuri; Pirogov Sergey; Zhizhina Elena^*

来源：Journal of Statistical Physics, 2016, 163(2): 357-373.

DOI：10.1007/s10955-016-1480-5

• Continuous contact model
• Marked configurations
• Correlation functions
• Statistical dynamics

We study a new non-equilibrium dynamical model: a marked continuous contact model in d-dimensional space (). 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 Kondratiev (Infin Dimens Anal Quantum Probab Relat Top 11(2):231-258, 2008), now the spatial particle density is not a conserved quantity.

• 出版日期2016-4