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• W1988417478 abstract "In systems belonging to the universality class of the random field Ising model, the standard hyperscaling relation between critical exponents does not hold, but is replaced with a modified hyperscaling relation. As a result, standard formulations of finite-size scaling near critical points break down. In this work, the consequences of modified hyperscaling are analyzed in detail. The most striking outcome is that the free-energy cost $ensuremath{Delta}F$ of interface formation at the critical point is no longer a universal constant, but instead increases as a power law with system size, $ensuremath{Delta}Fensuremath{propto}{L}^{ensuremath{theta}}$, with $ensuremath{theta}$ as the violation of hyperscaling critical exponent and $L$ as the linear extension of the system. This modified behavior facilitates a number of numerical approaches that can be used to locate critical points in random field systems from finite-size simulation data. We test and confirm the approaches on two random field systems in three dimensions, namely, the random field Ising model and the demixing transition in the Widom-Rowlinson fluid with quenched obstacles." @default.
• W1988417478 created "2016-06-24" @default.
• W1988417478 creator A5007044153 @default.
• W1988417478 creator A5037753080 @default.
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• W1988417478 date "2010-11-30" @default.
• W1988417478 modified "2023-10-18" @default.
• W1988417478 title "Finite-size scaling in Ising-like systems with quenched random fields: Evidence of hyperscaling violation" @default.
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• W1988417478 doi "https://doi.org/10.1103/physreve.82.051134" @default.
• W1988417478 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/21230464" @default.
• W1988417478 hasPublicationYear "2010" @default.
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