Absence of jump discontinuity in the magnetization in quasi-one-dimensional random-field Ising models

dc.creatorSabhapandit, Sanjib
dc.date2004-05-17
dc.date2005-09-02
dc.date.accessioned2026-07-25T15:35:29Z
dc.descriptionWe consider the zero-temperature random-field Ising model in the presence of an external field, on ladders and in one dimension with finite range interactions, for unbounded continuous distributions of random fields, and show that there is no jump discontinuity in the magnetizations for any quasi-one dimensional model. We show that the evolution of the system at an external field can be described by a stochastic matrix and the magnetization can be obtained using the eigenvector of the matrix corresponding to the eigenvalue one, which is continuous and differentiable function of the external field.
dc.description4 pages, 5 ps figures. Minor corrections
dc.identifierhttps://arxiv.org/abs/cond-mat/0405376
dc.identifierhttp://arxiv.org/abs/cond-mat/0405376
dc.identifierPhys. Rev. B 70, 224401 (2004)
dc.identifierdoi:10.1103/PhysRevB.70.224401
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/35184
dc.subjectStatistical Mechanics
dc.titleAbsence of jump discontinuity in the magnetization in quasi-one-dimensional random-field Ising models
dc.typetext

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