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  Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions.

Aspelmeier, T., Wang, W., Moore, M. A., & Katzgraber, H. G. (2016). Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions. Physical Review E, 94(2): 022116. doi:10.1103/PhysRevE.94.022116.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-7E0F-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-9215-B
Genre: Journal Article

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2350298.pdf (Publisher version), 506KB
 
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 Creators:
Aspelmeier, T.1, Author              
Wang, W., Author
Moore, M. A., Author
Katzgraber, H. G., Author
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1Research Group of Statistical Inverse-Problems in Biophysics, MPI for Biophysical Chemistry, Max Planck Society, ou_1113580              

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 Abstract: The one-dimensional Ising spin-glass model with power-law long-range interactions is a useful proxy model for studying spin glasses in higher space dimensions and for finding the dimension at which the spin-glass state changes from having broken replica symmetry to that of droplet behavior. To this end we have calculated the exponent that describes the difference in free energy between periodic and antiperiodic boundary conditions. Numerical work is done to support some of the assumptions made in the calculations and to determine the behavior of the interface free-energy exponent of the power law of the interactions. Our numerical results for the interface free-energy exponent are badly affected by finite-size problems.

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Language(s): eng - English
 Dates: 2016-08-11
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevE.94.022116
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Title: Physical Review E
Source Genre: Journal
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Pages: 10 Volume / Issue: 94 (2) Sequence Number: 022116 Start / End Page: - Identifier: -