Time-dependent perturbation theory for nonequilibrium lattice models

Iwan Jensen, Ronald Dickman

Research output: Contribution to journalArticlepeer-review

89 Citations (Scopus)


We develop a time-dependent perturbation theory for nonequilibrium interacting particle systems. We focus on models such as the contact process which evolve via destruction and autocatalytic creation of particles. At a critical value of the destruction rate there is a continuous phase transition between an active steady state and the vacuum state, which is absorbing. We present several methods for deriving series for the evolution starting from a single seed particle, including expansions for the ultimate survival probability in the super- and subcritical regions, expansions for the average number of particles in the subcritical region, and short-time expansions. Algorithms for computer generation of the various expansions are presented. Rather long series (24 terms or more) and precise estimates of critical parameters are presented.

Original languageEnglish
Pages (from-to)89-127
Number of pages39
JournalJournal of Statistical Physics
Issue number1-2
Publication statusPublished - 1 Apr 1993
Externally publishedYes


  • Interacting particle systems
  • nonequilibrium critical points
  • Padé analysis
  • series expansions


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