Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

LETTER TO THE EDITOR FIRST-ORDER PHASE TRANSITION IN 1d POTTS MODEL WITH LONG-RANGE INTERACTIONS

Katarina Uzelac, Zvonko Glumac

Published Jan 1, 1997• 0 citations
OpenAlex

Related papers

1D Three-state mean-field Potts model with first- and second-order phase transitions

Massimo Ostilli, Farrukh Maksutovich Mukhamedov

arXiv:1205.6777•Physica A Statistical Mechanics and its Applications•Feb 29, 2020•10 citations

PHASE TRANSITIONS IN SMALL AND LONG-RANGE INTERACTING SYSTEMS.

Yaroslav Ispolatov

•Jan 1, 2002•0 citations

LONG-RANGE ORDER FOR THE 3-STATE SQUARE LATTICE POTTS MODEL WITH ANTIFERROMAGNETIC “THE MOVE OF THE KNIGHT” INTERACTIONS

Alexander Bakaev, V. I. Kabanovich

The 3-state square lattice Potts model with interactions of spins belonging to the different sublattices, the nearest-neighbor (NN) interaction and “the move of the knight” (MK) antiferromagnetic interactions which also couples spins on the sublattice A to spins on B, is studied by Monte Carlo simulations. It is shown that the MK-interactions stabilizes the BSS phase in two dimensions, preserving macroscopic degeneracy of the ground state. In a range of competing ferromagnetic (NN) interactions “stripes” or “double-stripes” phases are found.

Modern Physics Letters B•Jun 30, 1996•0 citations

First order phase transitions and tunnelling with an application to the two-dimensional Potts model

Roger Horsley

Physics Letters B•Aug 1, 1991•0 citations

Dynamics of the 2d Potts model phase transition

Alexander Velytsky, Bernd A. Berg, Urs M. Heller

arXiv:hep-lat/0208035•Nuclear Physics B - Proceedings Supplements•May 1, 2003•6 citations

MONTE-CARLO CALCULATIONS OF PHASE TRANSITION TEMPERATURE IN THE ISING MODEL WITH LONG RANGE INTERACTIONS

Alexander Alexandrovich Biryukov, Y.V. Degtyarova

The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.

Vestnik of Samara University Natural Science Series•Dec 17, 2015•0 citations
The 3-state square lattice Potts model with interactions of spins belonging to the different sublattices, the nearest-neighbor (NN) interaction and “the move of the knight” (MK) antiferromagnetic interactions which also couples spins on the sublattice A to spins on B, is studied by Monte Carlo simulations. It is shown that the MK-interactions stabilizes the BSS phase in two dimensions, preserving macroscopic degeneracy of the ground state. In a range of competing ferromagnetic (NN) interactions “stripes” or “double-stripes” phases are found.
The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.