Diffusion dynamics of classical systems driven by an oscillatory force

DOI10.1007/s10955-006-9071-5zbMath1134.82033OpenAlexW2041545298MaRDI QIDQ857626

Pierre Degond, Francois Castella, Thierry Goudon

Publication date: 19 December 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-006-9071-5

zbMATH Keywords

homogenizationdiffusion limitKinetic equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Cites Work

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• The quantum scattering limit for a regularized Wigner equation
• Homogenization of transport equations: a simple PDE approach to the Kubo formula
• Transport equations for elastic and other waves in random media
• Diffusion approximation for billiards with totally accommodating scatterers
• Homogenization of a linear transport equation with time depending coefficient
• Classical and quantum transport in random media.
• From Bloch model to the rate equations
• APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS
• Periodic homogenisation of certain fully nonlinear partial differential equations
• Homogenization and Two-Scale Convergence
• Time evolution of large classical systems
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On the derivation of a quantum Boltzmann equation from the periodic Von-Neumann equation
• The two-scale convergence method applied to generalized Besicovitch spaces
• Asymptotic behaviour of transport equations
• Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
• Radiative transport limit for the random Schrödinger equation
• Homogenization of Transport Equations: Weak Mean Field Approximation
• FROM BLOCH MODEL TO THE RATE EQUATIONS II: THE CASE OF ALMOST DEGENERATE ENERGY LEVELS
• The perturbed test function method for viscosity solutions of nonlinear PDE
• Homogenisation of transport kinetic equations with oscillating potentials
• Averaging methods in nonlinear dynamical systems
• From the von Neumann equation to the quantum Boltzmann equation in a deterministic framework.