Heat Production of Noninteracting Fermions Subjected to Electric Fields

DOI10.1002/cpa.21530zbMath1342.81120arXiv1611.07706OpenAlexW3103331626MaRDI QIDQ5252284

Walter de Siqueira Pedra, Carolin Hertling, Jean-Bernard Bru

Publication date: 29 May 2015

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07706

zbMATH Keywords

first law of thermodynamicsannihilation and creation operatorsheat productionmulticommutatorsinfinite fermion systemslinear conductivitynonautonomous \(C^*\)-dynamical systemstree-decay bounds

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Classical and relativistic thermodynamics (80A10) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Linear spaces of operators (47L05) Statistical thermodynamics (82B30)

Related Items

AC-conductivity measure from heat production of free fermions in disordered media ⋮ A \(\mathbb{Z}_2\)-topological index for quasi-free fermions ⋮ From the second law of thermodynamics to AC-conductivity measures of interacting fermions in disordered media ⋮ Microscopic conductivity of lattice fermions at equilibrium. II: Interacting particles ⋮ Accuracy of classical conductivity theory at atomic scales for free fermions in disordered media ⋮ Quantum fluctuations and large-deviation principle for microscopic currents of free fermions in disordered media ⋮ Microscopic conductivity of lattice fermions at equilibrium. I. Non-interacting particles

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