On the absorbing-state phase transition in the one-dimensional triplet creation model

G. Ódor, Ronald Dickman

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We study the lattice reaction-diffusion model , ('triplet creation') using numerical simulations and n-site approximations. The simulation results suggest that the phase transition is discontinuous at high diffusion rates. In this regime the order parameter appears to be a discontinuous function of the creation rate; no evidence of a stable interface between active and absorbing phases is found. Based on an effective mapping to a modified compact directed percolation process, we shall nevertheless argue that the transition is continuous, despite the seemingly discontinuous phase transition suggested by studies of finite systems.

Original languageEnglish
Article numberP08024
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2009
Issue number8
DOIs
Publication statusPublished - 2009

Fingerprint

State Transition
Absorbing
Phase Transition
Discontinuous Functions
Directed Percolation
Reaction-diffusion Model
Lattice Model
Order Parameter
Numerical Simulation
Approximation
simulation
Model
Simulation
approximation
Phase transition
Evidence
Numerical simulation
Reaction-diffusion
Diffusion model

Keywords

  • Classical Monte Carlo simulations
  • Classical phase transitions (theory)
  • Other numerical approaches
  • Phase transitions into absorbing states (theory)

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistical and Nonlinear Physics
  • Statistics, Probability and Uncertainty

Cite this

On the absorbing-state phase transition in the one-dimensional triplet creation model. / Ódor, G.; Dickman, Ronald.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, No. 8, P08024, 2009.

Research output: Contribution to journalArticle

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