DOI: 10.1063/1.1456504. Multicanonical parallel tempering

10.1063/1.1456504

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We present a novel implementation of the parallel tempering Monte Carlo method in a multicanonical ensemble. Multicanonical weights are derived by a self-consistent iterative process using a Boltzmann inversion of global energy histograms. This procedure gives rise to a much broader overlap of thermodynamic-property histograms; fewer replicas are necessary in parallel tempering simulations, and the acceptance of trial swap moves can be made arbitrarily high. We demonstrate the usefulness of the method in the context of a grand-multicanonical ensemble, where we use multicanonical simulations in energy space with the addition of an unmodified chemical potential term in particle-number space. Several possible implementations are discussed, and the best choice is presented in the context of the liquid–gas phase transition of the Lennard-Jones fluid. A substantial decrease in the necessary number of replicas can be achieved through the proposed method, thereby providing a higher efficiency and the possibility of parallelization.

Bibliography

Faller, R., Yan, Q., & de Pablo, J. J. (2002). Multicanonical parallel tempering. The Journal of Chemical Physics, 116(13), 5419â5423.

Authors 3

Roland Faller (first)
Qiliang Yan (additional)
Juan J. de Pablo (additional)

References 17 Referenced 80

10.1209/0295-5075/19/6/002 / Europhys. Lett. (1992)
10.1007/BF02189229 / J. Stat. Phys. (1996)
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10.1103/PhysRevLett.68.9 / Phys. Rev. Lett. (1992)
{'key': '2024020710502501800_r8', 'first-page': '1', 'volume': '26', 'year': '2000', 'journal-title': 'Fields Inst. Commun.'} / Fields Inst. Commun. (2000)
10.1142/S0129183101001912 / Int. J. Mod. Phys. C (2001)
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{'key': '2024020710502501800_r14'}
10.1103/PhysRevLett.86.2050 / Phys. Rev. Lett. (2001)
10.1103/PhysRevLett.61.2635 / Phys. Rev. Lett. (1988)
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Dates

Type	When
Created	23 years ago (July 26, 2002, 9:27 a.m.)
Deposited	1 year, 6 months ago (Feb. 7, 2024, 11:52 a.m.)
Indexed	1 year ago (Aug. 12, 2024, 9:16 a.m.)
Issued	23 years, 4 months ago (April 1, 2002)
Published	23 years, 4 months ago (April 1, 2002)
Published Print	23 years, 4 months ago (April 1, 2002)

Funders 0

None

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