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Article: Nonequilibrium statistical mechanics of the evolution of dislocation structures

TitleNonequilibrium statistical mechanics of the evolution of dislocation structures
Authors
KeywordsPhysics
Issue Date2007
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B - Condensed Matter And Materials Physics, 2007, v. 75 n. 1 How to Cite?
AbstractWe develop a form of nonequilibrium statistical mechanics designed to be applicable to the evolution of dislocation structure (or patterning) during metal deformation. The formalism can be applied both to time independent relaxed dislocation systems as well as to the time dependent relaxation itself. One specific application is to a simplified version of the "equilibrium" relaxed state, where we show that an effective temperature can be defined in terms of the noise in the system (back stress fluctuations). As the noise is decreased, varying degrees of order appear. In a second application to a simple two-dimensional (2D) dislocation computer model, we show how to obtain an effective time dependent free energy and temperature from the ensemble driving forces developed in earlier work. In this model, too, the underlying physics relates to a competition between the noise and energy. And, finally, we show that the behavior of the Boltzmann H function for the same 2D computer model can be tied to the rather complex physics of the evolving time dependent structure. © 2007 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/44917
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorNgan, AHWen_HK
dc.contributor.authorThomson, Ren_HK
dc.date.accessioned2007-10-30T06:13:25Z-
dc.date.available2007-10-30T06:13:25Z-
dc.date.issued2007en_HK
dc.identifier.citationPhysical Review B - Condensed Matter And Materials Physics, 2007, v. 75 n. 1en_HK
dc.identifier.issn1098-0121en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44917-
dc.description.abstractWe develop a form of nonequilibrium statistical mechanics designed to be applicable to the evolution of dislocation structure (or patterning) during metal deformation. The formalism can be applied both to time independent relaxed dislocation systems as well as to the time dependent relaxation itself. One specific application is to a simplified version of the "equilibrium" relaxed state, where we show that an effective temperature can be defined in terms of the noise in the system (back stress fluctuations). As the noise is decreased, varying degrees of order appear. In a second application to a simple two-dimensional (2D) dislocation computer model, we show how to obtain an effective time dependent free energy and temperature from the ensemble driving forces developed in earlier work. In this model, too, the underlying physics relates to a competition between the noise and energy. And, finally, we show that the behavior of the Boltzmann H function for the same 2D computer model can be tied to the rather complex physics of the evolving time dependent structure. © 2007 The American Physical Society.en_HK
dc.format.extent336371 bytes-
dc.format.extent41180 bytes-
dc.format.extent310 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_HK
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review B (Condensed Matter and Materials Physics). Copyright © American Physical Society.en_HK
dc.subjectPhysicsen_HK
dc.titleNonequilibrium statistical mechanics of the evolution of dislocation structuresen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1098-0121&volume=75&issue=1&spage=014107:1&epage=11&date=2007&atitle=Nonequilibrium+statistical+mechanics+of+the+evolution+of+dislocation+structuresen_HK
dc.identifier.emailNgan, AHW:hwngan@hkucc.hku.hken_HK
dc.identifier.authorityNgan, AHW=rp00225en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevB.75.014107en_HK
dc.identifier.scopuseid_2-s2.0-33846303862en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33846303862&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume75en_HK
dc.identifier.issue1en_HK
dc.identifier.isiWOS:000243894600041-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridNgan, AHW=7006827202en_HK
dc.identifier.scopusauthoridThomson, R=7201360121en_HK

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