A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium
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Walter H. Aschbacher
Abstract
Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequilibrium steady state for the quasifree fermionic system corresponding to the isotropic XY chain in which a finite sample, subject to a local gauge breaking anisotropy perturbation, is coupled to two thermal reservoirs at different temperatures. Using time dependent and stationary scattering theory, we rigorously prove, from first principles, that the nonequilibrium system under consideration is thermodynamically nontrivial, i. e., that its entropy production rate is strictly positive.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Special Issue Articles of the International Workshop on Non-Equilibrium Thermodynamics IWNET2018
- Editorial
- Entropy and Entropy Production in Multiscale Dynamics
- Micro-Inertia Effects in Material Flow
- Kluitenberg–Verhás Rheology of Solids in the GENERIC Framework
- A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium
- Regular Research Articles
- Temperature changes accompanying signal propagation in axons
- Development of Hybrid ANFIS–CFD Model for Design and Optimization of Membrane Separation of Benzoic Acid
- On the Combined Use of Friction Matrices and Dissipation Potentials in Thermodynamic Modeling
- Focalization of Heat Waves in an Inhomogeneous System
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Artikel in diesem Heft
- Frontmatter
- Special Issue Articles of the International Workshop on Non-Equilibrium Thermodynamics IWNET2018
- Editorial
- Entropy and Entropy Production in Multiscale Dynamics
- Micro-Inertia Effects in Material Flow
- Kluitenberg–Verhás Rheology of Solids in the GENERIC Framework
- A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium
- Regular Research Articles
- Temperature changes accompanying signal propagation in axons
- Development of Hybrid ANFIS–CFD Model for Design and Optimization of Membrane Separation of Benzoic Acid
- On the Combined Use of Friction Matrices and Dissipation Potentials in Thermodynamic Modeling
- Focalization of Heat Waves in an Inhomogeneous System
- Thermoelectric Thomson Relations Revisited for a Linear Energy Converter
