Mixed-order phase transition of the contact process near multiple junctions

Róbert Juhász, F. Iglói

Research output: Article

10 Citations (Scopus)

Abstract

We have studied the phase transition of the contact process near a multiple junction of M semi-infinite chains by Monte Carlo simulations. As opposed to the continuous transitions of the translationally invariant (M=2) and semi-infinite (M=1) system, the local order parameter is found to be discontinuous for M>2. Furthermore, the temporal correlation length diverges algebraically as the critical point is approached, but with different exponents on the two sides of the transition. In the active phase, the estimate is compatible with the bulk value, while in the inactive phase it exceeds the bulk value and increases with M. The unusual local critical behavior is explained by a scaling theory with an irrelevant variable, which becomes dangerous in the inactive phase. Quenched spatial disorder is found to make the transition continuous in agreement with earlier renormalization group results.

Original languageEnglish
Article number022109
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume95
Issue number2
DOIs
Publication statusPublished - febr. 7 2017

Fingerprint

Contact Process
Phase Transition
Scaling Theory
Temporal Correlation
Correlation Length
Critical Behavior
Diverge
Order Parameter
Renormalization Group
Disorder
Critical point
Exceed
Monte Carlo Simulation
Exponent
critical point
Invariant
exponents
disorders
scaling
Estimate

ASJC Scopus subject areas

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

Cite this

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AB - We have studied the phase transition of the contact process near a multiple junction of M semi-infinite chains by Monte Carlo simulations. As opposed to the continuous transitions of the translationally invariant (M=2) and semi-infinite (M=1) system, the local order parameter is found to be discontinuous for M>2. Furthermore, the temporal correlation length diverges algebraically as the critical point is approached, but with different exponents on the two sides of the transition. In the active phase, the estimate is compatible with the bulk value, while in the inactive phase it exceeds the bulk value and increases with M. The unusual local critical behavior is explained by a scaling theory with an irrelevant variable, which becomes dangerous in the inactive phase. Quenched spatial disorder is found to make the transition continuous in agreement with earlier renormalization group results.

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