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dc.contributor.authorBru, J.-B. 
dc.contributor.authorde Siqueira Pedra, W. 
dc.date.accessioned2016-06-13T13:32:50Z
dc.date.available2016-06-13T13:32:50Z
dc.date.issued2015-12-31
dc.identifier.issn0377-9017
dc.identifier.urihttp://hdl.handle.net/20.500.11824/184
dc.description.abstractWe apply Lieb–Robinson bounds for multi-commutators we recently derived (Bru and de Siqueira Pedra, Lieb–Robinson bounds for multi-commutators and applications to response theory, 2015) to study the (possibly non-linear) response of interacting fermions at thermal equilibrium to perturbations of the external electromagnetic field. This analysis leads to an extension of the results for quasi-free fermions of (Bru et al. Commun Pure Appl Math 68(6):964–1013, 2015; Bru et al. J Math Phys 56:051901-1–051901-51, 2015) to fermion systems on the lattice with short-range interactions. More precisely, we investigate entropy production and charge transport properties of non-autonomous C*-dynamical systems associated with interacting lattice fermions within bounded static potentials and in presence of an electric field that is time and space dependent. We verify the 1st law of thermodynamics for the heat production of the system under consideration. In linear response theory, the latter is related with Ohm and Joule’s laws. These laws are proven here to hold at the microscopic scale, uniformly with respect to the size of the (microscopic) region where the electric field is applied. An important outcome is the extension of the notion of conductivity measures to interacting fermions.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectconductivity measure
dc.subjectdisordered systems
dc.subjecttransport processes
dc.titleMicroscopic Conductivity of Lattice Fermions at Equilibrium. Part II: Interacting Particlesen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s11005-015-0806-6
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs11005-015-0806-6
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleLetters in Mathematical Physicsen_US


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