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Juhász R, Iglói F. Mixed-order phase transition of the contact process near multiple junctions. Phys Rev E. 2017;95(2):022109doi: 10.1103/PhysRevE.95.022109.
Juhász, R., & Iglói, F. (2017). Mixed-order phase transition of the contact process near multiple junctions. Physical review. E, 95(2), 022109. https://doi.org/10.1103/PhysRevE.95.022109
Juhász, Róbert, and Iglói, Ferenc. "Mixed-order phase transition of the contact process near multiple junctions." Physical review. E vol. 95,2 (2017): 022109. doi: https://doi.org/10.1103/PhysRevE.95.022109
Juhász R, Iglói F. Mixed-order phase transition of the contact process near multiple junctions. Phys Rev E. 2017 Feb;95(2):022109. doi: 10.1103/PhysRevE.95.022109. Epub 2017 Feb 07. PMID: 28298002.
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Phys Rev E. 2017 Feb;95(2):022109. doi: 10.1103/PhysRevE.95.022109. Epub 2017 Feb 07.

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

Physical review. E

Róbert Juhász, Ferenc Iglói

Affiliations

  1. Wigner Research Centre for Physics, Institute for Solid State Physics and Optics, H-1525 Budapest, P.O. Box 49, Hungary.
  2. Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary.

PMID: 28298002 DOI: 10.1103/PhysRevE.95.022109

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.

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