From reversible quantum microdynamics to irreversible quantum transport

Rau, Jochen; Müller, Berndt

doi:10.1016/0370-1573(95)00077-1

Cited by 128 publications

(169 citation statements)

References 77 publications

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“…The fundamental analogy between the Zener mechanism of interband tunneling [1,2] and Schwinger's mechanism of vacuum electron-positron pair creation in a strong electric field has been mentioned repeatedly, see, e.g., [3]. This similarity has been used recently for the investigation of the transport properties of strongly correlated quantum many-body systems [4].…”

Section: Introductionmentioning

confidence: 88%

Vacuum Particle Creation: Analogy with the Bloch Theory in Solid State Physics

Smolyansky¹,

Тараканов

Bönitz

2009

Contrib. Plasma Phys.

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A nonperturbative kinetic description of interband tunneling under the action of a strong electric field (dynamical analogue of the Zener effect) is presented. The developed approach is based on the similarity to the Sauter-Schwinger effect and its dynamical analogue in QED. The kinetic equation for electron-hole quasiparticle excitations is derived on a dynamical basis in the framework of the oscillator representation. Numerical estimates are made for some simple cases of external fields. Detailed comparisons with the method based on the Bloch equations for electron-hole systems interacting with a time dependent electric field are performed. The proposed approach is an alternative to the Bloch theory and does not use the dipole approximation. This leads to predictions which differ from the ones based on the Bloch equations, in particular, concerning the frequency dependence of the absorption coefficient.

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Section: Introductionmentioning

confidence: 88%

Vacuum Particle Creation: Analogy with the Bloch Theory in Solid State Physics

Smolyansky¹,

Тараканов

Bönitz

2009

Contrib. Plasma Phys.

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“…[279,280,281] provides a connection between the quantum field theoretical and transport equation approaches to particle production and plasma evolution, and shows that the particle source term is intrinsically non-local in time; i.e., non-Markovian. Therefore calculating the plasma's properties at any given instant requires a complete knowledge of the history of the formation process.…”

Section: Quantum Vlasov Equationmentioning

confidence: 99%

Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD

Roberts

Schmidt

2000

Progress in Particle and Nuclear Physics

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Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions; and the transition to, and properties of, a quark gluon plasma. We provide a contemporary perspective, couched primarily in terms of the Dyson-Schwinger equations but also making comparisons with other approaches and models. Our discourse provides a practitioners' guide to features of the Dyson-Schwinger equations [such as confinement and dynamical chiral symmetry breaking] and canvasses phenomenological applications to light meson and baryon properties in cold, sparse QCD. These provide the foundation for an extension to hot, dense QCD, which is probed via the introduction of the intensive thermodynamic variables: chemical potential and temperature. We describe order parameters whose evolution signals deconfinement and chiral symmetry restoration, and chronicle their use in demarcating the quark gluon plasma phase boundary and characterising the plasma's properties. Hadron traits change in an equilibrated plasma. We exemplify this and discuss putative signals of the effects. Finally, since plasma formation is not an equilibrium process, we discuss recent developments in kinetic theory and its application to describing the evolution from a relativistic heavy ion collision to an equilibrated quark gluon plasma.

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“…The result of this reduced description (for derivations, see, e.g., Balian [7], Grabert [50], Rau & Müller [105]) is a dynamical effect called dissipation (Thomson [123]), described by the second law of thermodynamics (Clausius [35]). The Euler inequality (2) together with the Euler equation (4) only express the nondynamical part of the second law since, in equilibrium thermodynamics, dynamical questions are ignored: Axiom (ii) says that if S, V, N are conserved (thermal, mechanical and chemical isolation) then the internal energy,…”

Section: Definitionmentioning

confidence: 99%

Foundations of Thermodynamics

Hardy¹,

Binek²

2014

Thermodynamics and Statistical Mechanics

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Abstract. On the basis of new, concise foundations, this paper establishes the four laws of thermodynamics, the Maxwell relations, and the stability requirements for response functions, in a form applicable to global (homogeneous), local (hydrodynamic) and microlocal (kinetic) equilibrium.The present, self-contained treatment needs very little formal machinery and stays very close to the formulas as they are applied by the practicing physicist, chemist, or engineer. From a few basic assumptions, the full structure of phenomenological thermodynamics and of classical and quantum statistical mechanics is recovered.Care has been taken to keep the foundations free of subjective aspects (which traditionally creep in through information or probability). One might describe the paper as a uniform treatment of the nondynamical part of classical and quantum statistical mechanics "without statistics" (i.e., suitable for the definite descriptions of single objects) and "without mechanics" (i.e., independent of microscopic assumptions). When enriched by the traditional examples and applications, this paper may serve as the basis for a course on thermal physics.

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From reversible quantum microdynamics to irreversible quantum transport

Cited by 128 publications

References 77 publications

Vacuum Particle Creation: Analogy with the Bloch Theory in Solid State Physics

Vacuum Particle Creation: Analogy with the Bloch Theory in Solid State Physics

Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD

Foundations of Thermodynamics

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