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Numerical study of the three-dimensional random-field Ising model at zero and positive temperature

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dc.contributorVirginia Techen
dc.contributor.authorWu, Y.en
dc.contributor.authorMachta, J.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-18en
dc.date.accessioned2014-02-11T13:46:00Zen
dc.date.available2014-02-11T13:46:00Zen
dc.date.issued2006-08-21en
dc.description.abstractIn this paper the three-dimensional random-field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling analysis of large discontinuities in the bond energy. The heat capacity exponent alpha is found to be near zero. The ground states are determined for a range of external field and disorder strength near the zero temperature critical point and the scaling of ground state tilings of the field-disorder plane is discussed. At positive temperature the specific heat and the susceptibility are obtained using the Wang-Landau algorithm. It is found that sharp peaks are present in these physical quantities for some realizations of systems sized 16(3) and larger. These sharp peaks result from flipping large domains and correspond to large discontinuities in ground state bond energies. Finally, zero temperature and positive temperature spin configurations near the critical line are found to be highly correlated suggesting a strong version of the zero temperature fixed point hypothesis.en
dc.identifier.citationWu, Yong ; Machta, Jonathan, Aug 2006. "Numerical study of the three-dimensional random-field Ising model at zero and positive temperature," PHYSICAL REVIEW B 74(6): 064418. DOI: 10.1103/PhysRevB.74.064418en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.74.064418en
dc.identifier.issn1098-0121en
dc.identifier.urihttp://hdl.handle.net/10919/25399en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevB.74.064418en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectlower critical dimensionen
dc.subjectmaximum-flow problemen
dc.subjectground-statesen
dc.subjectexternal-fielden
dc.subjectrandom-systemsen
dc.subjectalgorithmen
dc.subjecthysteresisen
dc.subjectavalanchesen
dc.subjectefficienten
dc.subjectdrivenen
dc.subjectPhysicsen
dc.titleNumerical study of the three-dimensional random-field Ising model at zero and positive temperatureen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden

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