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We study a two-dimensional compressible Ising spin glass at constant volume. The spin interactions are coupled to the distance between neighboring particles in the Edwards-Anderson model with +/- J interactions. We find that the energy of a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Adam H. Marshall , Bulbul Chakraborty , Sidney R. Nagel

We propose a new algorithm which works effectively in global updates in Monte Carlo study. We apply it to the quantum spin chain with next-nearest-neighbor interactions. We observe that Monte Carlo results are in excellent agreement with…

Condensed Matter · Physics 2017-02-01 Tomo Munehisa , Yasuko Munehisa

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of…

Disordered Systems and Neural Networks · Physics 2016-09-30 J. Rehn , R. Moessner , A. P. Young

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range power-law interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the ``spin-chirality…

Disordered Systems and Neural Networks · Physics 2015-06-25 Akihiro Matsuda , Mitsuru Nakamura , Hikaru Kawamura

This paper describes a new Monte Carlo method based on a novel stochastic potential switching algorithm. This algorithm enables the equilibrium properties of a system with potential $V$ to be computed using a Monte Carlo simulation for a…

Statistical Mechanics · Physics 2007-05-23 C. H. Mak

We introduce a Metropolis-Hastings Markov chain for Boltzmann distributions of classical spin systems. It relies on approximate tensor network contractions to propose correlated collective updates at each step of the evolution. We present…

We introduce a new update scheme to systematically improve the efficiency of parallel tempering simulations. We show that by adapting the number of sweeps between replica exchanges to the canonical autocorrelation time, the average…

Statistical Mechanics · Physics 2008-09-26 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke

We have developed a new parallel supercomputer code based on Henon's Monte Carlo method for simulating the dynamical evolution of globular clusters. This new code allows us to calculate the evolution of a cluster containing a realistic…

Astrophysics · Physics 2007-05-23 F. A. Rasio

We study the the non-equilibrium ageing behaviour of the +/-J Edwards-Anderson model in three dimensions for samples of size up to N=128^3 and for up to 10^8 Monte Carlo sweeps. In particular we are interested in the change of the ageing…

Statistical Mechanics · Physics 2015-06-03 Markus Manssen , Alexander K. Hartmann

Spin glasses are paradigmatic models that deliver concepts relevant for a variety of systems. However, rigorous analytical results are difficult to obtain for spin-glass models, in particular for realistic short-range models. Therefore…

Disordered Systems and Neural Networks · Physics 2008-02-12 Helmut G. Katzgraber

We study fully occupied lattice systems of classical magnetic dipoles which point along random axes. Only dipolar interactions are considered. From tempered Monte Carlo simulations, we obtain numerical evidence that supports the following…

Materials Science · Physics 2009-03-05 J. F. Fernández

Spin glasses have competing interactions that lead to a rough energy landscape which is highly susceptible to small perturbations. These chaotic effects strongly affect numerical simulations and, as such, gaining a deeper understanding of…

Disordered Systems and Neural Networks · Physics 2016-06-14 Wenlong Wang , Jonathan Machta , Helmut G. Katzgraber

Highly size-asymmetrical fluid mixtures arise in a variety of physical contexts, notably in suspensions of colloidal particles to which much smaller particles have been added in the form of polymers or nanoparticles. Conventional schemes…

Soft Condensed Matter · Physics 2011-01-14 Douglas J. Ashton , Jiwen Liu , Erik Luijten , Nigel B. Wilding

In an earlier joint work, we studied a sequential Monte Carlo algorithm to sample from the Gibbs measure supported on torus with a non-convex energy function at a low temperature, where we proved that the time complexity of the algorithm is…

Computation · Statistics 2025-12-08 Ruiyu Han

We present an efficient and exact Monte Carlo algorithm to simulate reversible aggregation of particles with dedicated binding sites. This method introduces a novel data structure of dynamic bond tree to record clusters and sequences of…

Quantitative Methods · Quantitative Biology 2011-09-27 Qiang Chang , Jin Yang

We present an algorithm for finding ground states of two dimensional spin glass systems based on ideas from matrix product states in quantum information theory. The algorithm works directly at zero temperature and defines an approximate…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. B. Hastings

We have studied the three-dimensional Ising spin glass with a $\pm J$ distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence…

Condensed Matter · Physics 2009-10-28 N. Kawashima , A. P. Young

Using a {\it collective} Monte Carlo algorithm we study the low-temperature and long-distance properties of two systems of two-dimensional classical tops. Both systems have the same spin-wave dynamics (low-temperature behavior) as a large…

Statistical Mechanics · Physics 2009-10-31 Michel Caffarel , Patrick Azaria , Bertrand Delamotte , Dominique Mouhanna

Results of Monte Carlo simulations of XY and Heisenberg spin glass models in three dimensions are presented. A finite size scaling analysis of the correlation length of the spins and chiralities of both models shows that there is a single,…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. W. Lee , A. P. Young

Quantum spin systems with strong geometric restrictions give rise to rich quantum phases such as valence bond solids and spin liquid states. However, the geometric restrictions often hamper the application of sophisticated numerical…

Statistical Mechanics · Physics 2019-05-01 Zheng Yan , Yongzheng Wu , Chenrong Liu , Olav F. Syljuåsen , Jie Lou , Yan Chen