Entropy anomaly in Langevin-Kramers dynamics with a temperature gradient, matrix drag, and magnetic field

DOI10.1007/s10955-018-2162-2zbMath1404.60078arXiv1709.06981OpenAlexW3099963274MaRDI QIDQ1757173

Jeremiah Birrell

Publication date: 2 January 2019

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

Full work available at URL: https://arxiv.org/abs/1709.06981

zbMATH Keywords

homogenizationLangevin equationsmall-mass limitentropy anomaly

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items

Langevin equations in the small-mass limit: higher-order approximations, Functionals in stochastic thermodynamics: how to interpret stochastic integrals, Phase space homogenization of noisy Hamiltonian systems, Martingale structure for general thermodynamic functionals of diffusion processes under second-order averaging, Anomalous thermodynamics in homogenized generalized Langevin systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random perturbation to the geodesic equation
• The small-mass limit for Langevin dynamics with unbounded coefficients and positive friction
• Small mass limit of a Langevin equation on a manifold
• Kinetic Brownian motion on Riemannian manifolds
• Hypoelliptic Laplacian and probability
• Adiabatic elimination for systems of Brownian particles with nonconstant damping coefficients
• Homogenization in stochastic differential geometry
• Homogenization of dissipative, noisy, Hamiltonian dynamics
• Phase space homogenization of noisy Hamiltonian systems
• A stochastic approach to relativistic diffusions
• The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
• Fluctuation relations for diffusion processes
• On the definition of entropy production, via examples
• Path Integrals and Quantum Anomalies
• The effective temperature
• Macroscopic fluxes and local reciprocal relation in second-order stochastic processes far from equilibrium
• Isotropic Transport Process on a Riemannian Manifold
• Construction of the Brownian motion and the Ornstein-Uhlenbeck process in a Riemannian manifold on basis of the Gangolli-Mc.Kean injection scheme
• White Noise Limits for Inertial Particles in a Random Field
• The hypoelliptic Laplacian on the cotangent bundle
• The Jarzynski relation, fluctuation theorems, and stochastic thermodynamics for non-Markovian processes
• Multiscale Methods
• Relativistic diffusions: A unifying approach
• Exponential Operators and Parameter Differentiation in Quantum Physics
• Brownian motion in a field of force and the diffusion model of chemical reactions