The generalized Langevin equation in harmonic potentials: anomalous diffusion and equipartition of energy
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Publication:2149069
DOI10.1007/s00220-022-04378-xzbMath1490.60287arXiv2103.05089OpenAlexW3135571009MaRDI QIDQ2149069
Hung D. Nguyen, Gustavo Didier
Publication date: 28 June 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05089
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)
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Cites Work
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- Time series: theory and methods.
- Slowly varying functions and asymptotic behavior of a class of integral transforms. I
- The Parseval relation and monotone functions
- Slowly varying functions and asymptotic behavior of a class of integral transforms. II
- Fluid-particle dynamics for passive tracers advected by a thermally fluctuating viscoelastic medium
- Fractional kinetics in Kac-Zwanzig heat bath models
- On Abel-Tauber theorems for Fourier cosine transforms
- Simple conditions for mixing of infinitely divisible processes
- Stochastic modeling in nanoscale biophysics: subdiffusion within proteins
- On equipartition of energy and integrals of generalized Langevin equations with generalized Rouse kernel
- On the Hölder regularity of a linear stochastic partial-integro-differential equation with memory
- Asymptotic analysis for the generalized Langevin equation
- Time-Domain Methods for Diffusive Transport in Soft Matter
- Computation of the Complex Error Function
- Reconstructing Complex Fluid Properties from the Behavior of Fluctuating Immersed Particles
- Anomalous Diffusion and the Generalized Langevin Equation
- Complex Zeros of the Error Function and of the Complementary Error Function
- The generalized Langevin equation with power-law memory in a nonlinear potential well
- Asymptotic Analysis of the Mean Squared Displacement under Fractional Memory Kernels
- Stochastic Processes and Applications
- Transport, Collective Motion, and Brownian Motion
- The Asymptotic Distribution of The Pathwise Mean Squared Displacement in Single Particle Tracking Experiments
- Statistical challenges in microrheology
- Stationary random distributions
