Use of dirichlet distributions and orthogonal projection techniques for the fluctuation analysis of steady-state multivariate birth-death systems

Filippo Palombi, Simona Toti

Research output: Contribution to journalArticle

Abstract

Approximate weak solutions of the Fokker-Planck equation represent a useful tool to analyze the equilibrium fluctuations of birth-death systems, as they provide a quantitative knowledge lying in between numerical simulations and exact analytic arguments. In this paper, we adapt the general mathematical formalism known as the Ritz-Galerkin method for partial differential equations to the Fokker-Planck equation with time-independent polynomial drift and diffusion coefficients on the simplex. Then, we show how the method works in two examples, namely the binary and multi-state voter models with zealots.
Original languageEnglish
Article number1550139
Pages (from-to)-
JournalInternational Journal of Modern Physics C
Volume26
Issue number12
DOIs
Publication statusPublished - 4 Dec 2015

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Theory and Mathematics

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