Reaction-diffusion dynamics in an oscillatory medium of finite size: Pseudoreflection of waves

A. Rabinovitch, M. Gutman, I. Aviram

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Wave propagation in an oscillatory reaction-diffusion, one-dimensional domain of finite size with Dirichlet boundary conditions is analyzed. For sizes below a certain threshold length, the medium cannot sustain wave motion. Above this threshold we find that for a relatively small domain extent, a strong correlation exists between the dynamics of the system and its size. This correlation gradually disappears with increasing domain size. For still larger sizes, we observe an effect of wave pseudo reflection near the boundary. It is shown both numerically and analytically that pseudoreflected waves are periodically generated inside the medium by a fast, self-generated “source” near the boundary.

Original languageEnglish
Pages (from-to)036212/1-036212/7
Number of pages1
JournalPhysical Review E
Volume67
Issue number3 2
DOIs
StatePublished - 1 Jan 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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