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

arXiv:cond-mat/0504219 · Journal of Experimental and Theoretical Physics

Critical dynamics of three-dimensional spin systems with long-range interactions

С. В. Белим

Published Apr 1, 2004• 2 citations
arXivHTMLPDF

Abstract

A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained by using the Padé-Borel summation technique in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the relaxation time of the system.
DOI
10.1134/1.1757674

Related papers

Critical Dynamics of Three-Dimensional Spin Systems with Long-Range Interactions

С. В. Белим

A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the relaxation time of the system.

•Apr 9, 2005•0 citations

Effect of long-range interactions on the critical behavior of three-dimensional disordered systems

С. В. Белим

A field-theoretical description of the behavior of a disordered Ising system with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions using the Padé-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points determining the critical behavior of the system are found. It is shown that the effect of frozen structural defects on a system with long-range interactions may cause a change in its critical behavior or smearing of the phase transition.

Journal of Experimental and Theoretical Physics Letters•Apr 1, 2003•7 citations

Influence of long-range effects on the critical behavior of three-dimensional systems

С. В. Белим

The Padé-Borel resummation technique is used to describe field-theoretically, in the two-loop approximation, the behavior of Ising systems with long-range effects directly in a three-dimensional space. The renormalization-group equations are analyzed and the fixed points governing the critical behavior of the system are determined. It is shown that the long-range effects can bring about a change in both the regime of critical behavior and the kind of phase transition.

arXiv:cond-mat/0307094•Journal of Experimental and Theoretical Physics Letters•Jan 1, 2003•12 citations

Effect of elastic deformations on the critical behavior of three-dimensional systems with long-range interaction

С. В. Белим

A field-theoretical description of the behavior of compressible Ising systems with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions with the use of the Padé-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points that determine the critical behavior of the system are found. It is shown that the effect of elastic deformations on a system with a long-range interaction causes changes in its critical, as well as multicritical, behavior.

arXiv:cond-mat/0501626•Journal of Experimental and Theoretical Physics Letters•May 1, 2003•1 citation

Effect of Long-Range Interaction on the Critical Behavior of Three-Dimensional Disordered Systems

С. В. Белим

A field-theoretical description of the behavior of a disordered Ising system with long-range interaction is presented. The description is performed in the two-loop approximation in three dimensions using the Pade-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points determining the critical behavior of the system are found. It is shown that the effect of frozen structural defects on a system with long-range interaction may cause a change in its critical behavior or smearing of the phase transition.

arXiv:cond-mat/0502031•Feb 1, 2005•1 citation

Critical dynamics of slightly disordered spin systems

Vladimir V. Prudnikov, С. В. Белим, A. V. Ivanov +2 more

This paper is a field theoretic description of the critical dynamics of spin systems with frozen nonmagnetic impurities. For three-dimensional systems the dynamical critical exponent is found directly by employing the three-loop approximation with the Padé-Borel summation technique. The results are compared with those obtained by calculating the dynamical exponent for homogeneous systems in the four-loop approximation, and with the values obtained by computer simulation of the critical dynamics by Monte Carlo methods. Calculations of the dynamical exponent for the two-dimensional Ising model in the four-loop approximation are also presented.

Journal of Experimental and Theoretical Physics•Sep 1, 1998•14 citations
A field-theoretical description of the behavior of a disordered Ising system with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions using the Padé-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points determining the critical behavior of the system are found. It is shown that the effect of frozen structural defects on a system with long-range interactions may cause a change in its critical behavior or smearing of the phase transition.
A field-theoretical description of the behavior of compressible Ising systems with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions with the use of the Padé-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points that determine the critical behavior of the system are found. It is shown that the effect of elastic deformations on a system with a long-range interaction causes changes in its critical, as well as multicritical, behavior.
A field-theoretical description of the behavior of a disordered Ising system with long-range interaction is presented. The description is performed in the two-loop approximation in three dimensions using the Pade-Borel resummation technique. The renormalization group equations are analyzed, and the fixed points determining the critical behavior of the system are found. It is shown that the effect of frozen structural defects on a system with long-range interaction may cause a change in its critical behavior or smearing of the phase transition.
This paper is a field theoretic description of the critical dynamics of spin systems with frozen nonmagnetic impurities. For three-dimensional systems the dynamical critical exponent is found directly by employing the three-loop approximation with the Padé-Borel summation technique. The results are compared with those obtained by calculating the dynamical exponent for homogeneous systems in the four-loop approximation, and with the values obtained by computer simulation of the critical dynamics by Monte Carlo methods. Calculations of the dynamical exponent for the two-dimensional Ising model in the four-loop approximation are also presented.