Fractional kinetics in Kac-Zwanzig heat bath models
From MaRDI portal
Publication:1777752
DOI10.1023/B:JOSS.0000003113.22621.f0zbMath1060.82034OpenAlexW2164168597MaRDI QIDQ1777752
Publication date: 25 May 2005
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:joss.0000003113.22621.f0
weak convergencestochastic differential equationsHamiltonian systemsheat bathfractional diffusionMarkovian approximation
Related Items (35)
Monte Carlo study of transport in low-dimensional quantum disorder systems at finite temperature ⋮ Approximation for a generalized Langevin equation with high oscillation in time and space ⋮ The small-mass limit and white-noise limit of an infinite dimensional generalized Langevin equation ⋮ The generalized Langevin equation in harmonic potentials: anomalous diffusion and equipartition of energy ⋮ Langevin approach to the theory of dielectric relaxation of ice Ih ⋮ Chaos and noise ⋮ Data-driven non-Markovian closure models ⋮ Can quantum fluctuation enhance diffusion in a corrugated plane? ⋮ Testing transition state theory on Kac-Zwanzig model ⋮ Non-Markovian two-time correlation dynamics and nonergodicity ⋮ Reconstructing Complex Fluid Properties from the Behavior of Fluctuating Immersed Particles ⋮ Accurate and robust splitting methods for the generalized Langevin equation with a positive prony series memory kernel ⋮ Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach ⋮ Operator-splitting schemes for degenerate, non-local, conservative-dissipative systems ⋮ Fluid-particle dynamics for passive tracers advected by a thermally fluctuating viscoelastic medium ⋮ Homogenization for generalized Langevin equations with applications to anomalous diffusion ⋮ Subdiffusion in an array of solid obstacles ⋮ Asymptotic Analysis of the Mean Squared Displacement under Fractional Memory Kernels ⋮ Coarse-Graining of Overdamped Langevin Dynamics via the Mori--Zwanzig Formalism ⋮ Prediction from partial data, renormalization, and averaging ⋮ Classical Langevin dynamics derived from quantum mechanics ⋮ Non-Markovian Lévy dynamics and the effect of the underlying time correlation ⋮ Non-Markovian stochastic processes: Colored noise ⋮ Long time behaviour and particle approximation of a generalised Vlasov dynamic ⋮ Balanced model reduction of partially observed Langevin equations: an averaging principle ⋮ On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator ⋮ Fitting SDE models to nonlinear Kac-Zwanzig heat bath models ⋮ Stochastic modeling in nanoscale biophysics: subdiffusion within proteins ⋮ Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom ⋮ Anomalous Diffusion and the Generalized Langevin Equation ⋮ Exact solution to two-body financial dealer model: revisited from the viewpoint of kinetic theory ⋮ Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system ⋮ The generalized Langevin equation with power-law memory in a nonlinear potential well ⋮ On a Class of Non-Markovian Langevin Equations ⋮ Anomalous thermodynamics in homogenized generalized Langevin systems
This page was built for publication: Fractional kinetics in Kac-Zwanzig heat bath models
