CRITICAL BEHAVIOR OF A FOUR-STATE IRREVERSIBLE MODEL WITH POTTS SYMMETRY

1999 ◽  
Vol 13 (14) ◽  
pp. 471-477 ◽  
Author(s):  
A. BRUNSTEIN ◽  
T. TOMÉ
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Critical Behavior ◽  
Potts Model ◽  
Present Model ◽  
Universality Class ◽  
Two Dimensional ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions ◽  
Symmetry Operations

We analyze the critical behavior of a two-dimensional irreversible cellular automaton whose dynamic rules are invariant under the same symmetry operations as those of the three-state Potts model. We study the dynamical phase transitions that take place in the model and obtain the static and dynamical critical exponents through Monte Carlo simulations. Our results indicate that the present model is in the same universality class as the three-state Potts model.

The Investigation of Phase Transitions in Two-Dimensional 3-State Antiferromagnetic Potts Model on a Triangular Lattice with Interaction of Next Nearest Neighbors

2014 ◽  
Vol 215 ◽  
pp. 52-54 ◽  
Author(s):  
Akai K. Murtazaev ◽  
A.B. Babaev ◽  
Felix A. Kassan-Ogly
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Method ◽  
Potts Model ◽  
Triangular Lattice ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Two Dimensional ◽  
Critical Temperatures ◽  
Antiferromagnetic Potts Model

The phase transitions and critical phenomena in two-dimensional 3-state antiferromagnetic Potts model with account of next-nearest neighbors are investigated by Monte-Carlo method. The systems with linear sizesL=20-144 are explored. Following parities of exchange interactions are considered. Moreover, we analyze the character of phase transitions and determine the critical temperatures.

Monte Carlo simulation of phase transitions in a two-dimensional random-bond Potts model

1995 ◽  
Vol 52 (2) ◽  
pp. 1377-1386 ◽  
Author(s):  
S. Chen ◽  
Alan M. Ferrenberg ◽  
D. P. Landau
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Potts Model ◽  
Two Dimensional

PHASE TRANSTIONS IN THE 3-DIMENSIONAL 16-VERTEX MODEL

2001 ◽  
Vol 15 (24n25) ◽  
pp. 3331-3335 ◽  
Author(s):  
R. ADAM STERN ◽  
GEORGE F. TUTHILL
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Ising Model ◽  
Critical Behavior ◽  
Three Dimensional ◽  
Universality Class ◽  
Series Expansions ◽  
Vertex Model ◽  
3 Dimensional ◽  
Proton Ordering

A three-dimensional sixteen-vertex model on the diamond lattice describing proton ordering in KDP-type crystals is shown to exhibit both 1 st - and 2 nd -order phase transitions. The model's critical behavior was found, using analyses of series expansions and Monte Carlo simulations. When the transition is 2 nd -order, critical exponents belong to the universality class of the three-dimensional Ising model.

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