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

Nuclear Physics B - Proceedings Supplements

Multimagnetical simulation of the Ising model

Ulrich H. E. Hansmann

Published Mar 1, 1993• 2 citations
Publisher
DOI
10.1016/0920-5632(93)90210-w

Related papers

RECENT RESULTS OF MULTIMAGNETICAL SIMULATIONS OF THE ISING MODEL

Ulrich H. E. Hansmann, Bernd A. Berg, T. Neuhaus

To investigate order-order interfaces, we perform multimagnetical Monte Carlo simulations of the 2D and 3D Ising model. Stringent tests of the numerical methods are performed by reproducing with high precision exact 2D results. In the physically more interesting 3D case we estimate the amplitude [Formula: see text] of the critical interfacial tension.

arXiv:hep-lat/9207007•International Journal of Modern Physics C•Oct 1, 1992•8 citations

Monte Carlo simulations of Ising models

Walter Selke

Computer Physics Communications•Aug 1, 1996•1 citation

A boundary field induced first-order transition in the 2D Ising model: numerical study

Elmar Bittner, Wolfhard Janke E

In a recent paper, Clusel and Fortin ( 2006 J. Phys. A: Math. Gen. 39 995 ) presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified the transition that separates the regime where the interface is localized near the boundary from that where it propagates inside the bulk. Inspired by these results, we measured the interface tension by using multimagnetic simulations combined with parallel tempering to determine the phase transition and the location of the interface. Our results are in very good agreement with the theoretical predictions. Furthermore, we studied the spin–spin correlation function for which no analytical results are available.

arXiv:0809.0577•Journal of Physics A Mathematical and Theoretical•Sep 4, 2008•2 citations

Ising Model in a Magnetic Field

Gesualdo Delfino A, Giuseppe Mussardo

NATO ASI series. Series B : Physics•Jan 1, 1997•0 citations

Computing masses from effective transfer matrices

Martin Hasenbusch B, K. Pinn, Kari Rummukainen

We study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization-group transformation of the full model onto a one-dimensional spin model. The matrix elements of the effective transfer matrix can be determined by Monte Carlo simulation. We show that the mass gap can be recovered exactly from the spectrum of the effective transfer matrix. As a first step towards application we performed a Monte Carlo study for the two-dimensional Ising model. For the simulations in the broken phase we employed a multimagnetic demon algorithm. The results for the tunneling correlation length are particularly encouraging.

arXiv:hep-lat/9304006•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Jan 1, 1994•3 citations

Ising Model for Ferromagnetism

Jonathan V. Selinger

Soft and biological matter•Aug 19, 2015•17 citations
In a recent paper, Clusel and Fortin ( 2006 J. Phys. A: Math. Gen. 39 995 ) presented an analytical study of a first-order transition induced by an inhomogeneous boundary magnetic field in the two-dimensional Ising model. They identified the transition that separates the regime where the interface is localized near the boundary from that where it propagates inside the bulk. Inspired by these results, we measured the interface tension by using multimagnetic simulations combined with parallel tempering to determine the phase transition and the location of the interface. Our results are in very good agreement with the theoretical predictions. Furthermore, we studied the spin–spin correlation function for which no analytical results are available.
We study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization-group transformation of the full model onto a one-dimensional spin model. The matrix elements of the effective transfer matrix can be determined by Monte Carlo simulation. We show that the mass gap can be recovered exactly from the spectrum of the effective transfer matrix. As a first step towards application we performed a Monte Carlo study for the two-dimensional Ising model. For the simulations in the broken phase we employed a multimagnetic demon algorithm. The results for the tunneling correlation length are particularly encouraging.