Dimensional reduction in a model with infinitely many absorbing states

Adam Lipowski

Dimensional reduction in a model with infinitely many absorbing states

Adam Lipowski

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Using the Monte Carlo method, we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent ß~0.273(5) suggests that the model belongs to the (1+1) rather than to (2+1) directed-percolation universality class. We also show that for a large class of absorbing states the dynamic Monte Carlo method leads to spurious dynamical transitions.

Original language	English
Pages (from-to)	R6255-R6258
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	60
Issue number	6 A
Publication status	Published - Dec 1999

Cite this

@article{4a432c40d3ee47e2845ebe1e96efa4b0,

title = "Dimensional reduction in a model with infinitely many absorbing states",

abstract = "Using the Monte Carlo method, we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent {\ss}\textasciitilde{}0.273(5) suggests that the model belongs to the (1+1) rather than to (2+1) directed-percolation universality class. We also show that for a large class of absorbing states the dynamic Monte Carlo method leads to spurious dynamical transitions.",

author = "Adam Lipowski",

year = "1999",

month = dec,

language = "English",

volume = "60",

pages = "R6255--R6258",

journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",

issn = "1063-651X",

publisher = "American Physical Society",

number = "6 A",

}

TY - JOUR

T1 - Dimensional reduction in a model with infinitely many absorbing states

AU - Lipowski, Adam

PY - 1999/12

Y1 - 1999/12

N2 - Using the Monte Carlo method, we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent ß~0.273(5) suggests that the model belongs to the (1+1) rather than to (2+1) directed-percolation universality class. We also show that for a large class of absorbing states the dynamic Monte Carlo method leads to spurious dynamical transitions.

AB - Using the Monte Carlo method, we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent ß~0.273(5) suggests that the model belongs to the (1+1) rather than to (2+1) directed-percolation universality class. We also show that for a large class of absorbing states the dynamic Monte Carlo method leads to spurious dynamical transitions.

UR - https://www.scopus.com/pages/publications/0001627982

M3 - Article

SN - 1063-651X

VL - 60

SP - R6255-R6258

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 6 A

ER -

Dimensional reduction in a model with infinitely many absorbing states

Abstract

Other files and links

Fingerprint

Cite this