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Exchange Monte Carlo Method and Application to Spin Glass Simulations

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arxiv cond-mat/9512035 v1 pith:UQS22YPL submitted 1995-12-06 cond-mat

classification cond-mat
keywords timeexchangemethodprocesssystemtemperaturesalgorithmcarlo
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abstract

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is introduced. This exchange process is expected to let the system at low temperatures escape from a local minimum. By using this algorithm the three-dimensional $\pm J$ Ising spin glass model is studied. The ergodicity time in this method is found much smaller than that of the multi-canonical method. In particular the time correlation function almost follows an exponential decay whose relaxation time is comparable to the ergodicity time at low temperatures. It suggests that the system relaxes very rapidly through the exchange process even in the low temperature phase.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectral Signatures of Replica Symmetry Breaking in Optimization-Induced Random Matrices

    cond-mat.dis-nn 2026-07 conditional novelty 7.0 of 10

    Difference spectra of two optimization-induced matrices from independent Gibbs samples form an explicit spectral transform of the Parisi overlap order parameter, while a single-matrix bulk is blind to replica symmetry...

  2. Scalable Determination of Penalization Weights for Constrained Optimizations on Approximate Solvers

    quant-ph 2026-04 unverdicted novelty 7.0 of 10

    A pre-computation method sets penalization weights for constrained QUBO problems with provable guarantees for Gibbs solvers and polynomial scaling for many problem classes.

  3. Active Particle Doping Suppresses Brittle Failure in Ultrastable Glasses

    cond-mat.soft 2025-08 unverdicted novelty 6.0 of 10

    Active particles are claimed to make ultrastable glasses yield homogeneously with multiple shear bands instead of failing brittlely, though the manuscript body provided is a different paper.

  4. Permutation Matrix Representation Quantum Monte Carlo

    cond-mat.stat-mech 2019-08 conditional novelty 6.0 of 10

    A permutation-matrix quantum Monte Carlo algorithm samples closed walks of off-diagonal operators, unifies updates across models, and outperforms stochastic series expansion on transverse-field Ising benchmarks.

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