Self‐guided Langevin dynamics via generalized Langevin equation [PDF]
Journal of Computational Chemistry, 2016 Xiongwu Wu +2 more
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Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials [PDF]
Journal of Nonlinear ScienceAbstractWe consider a system of interacting particles governed by the generalized Langevin equation (GLE) in the presence of external confining potentials, singular repulsive forces, as well as memory kernels. Using a Mori–Zwanzig approach, we represent the system by a class of Markovian dynamics. Under a general set of conditions on the nonlinearities,
Manh Hong Duong, Hung Dang Nguyen 0002
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On the new fractional configurations of integro-differential Langevin boundary value problems
Alexandria Engineering Journal, 2021 In this paper, we present the existence criteria for the solutions of boundary value problems involving generalized fractional integro-Langevin equation and inclusion supplemented with nonlocal fractional boundary conditions. The main idea of the current
Shahram Rezapour +2 more
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Anomalous Diffusion and the Generalized Langevin Equation [PDF]
SIAM Journal on Mathematical Analysis, 2018 The Generalized Langevin Equation (GLE) is a Stochastic Integro-Differential Equation that is commonly used to describe the velocity of microparticles that move randomly in viscoelastic fluids. Such particles commonly exhibit what is known as anomalous subdiffusion, which is to say that their position Mean-Squared Displacement (MSD) scales sublinearly ...
Scott A. McKinley, Hung D. Nguyen 0002
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Time-Dependent Fractional Diffusion and Friction Functions for Anomalous Diffusion
Frontiers in Physics, 2021 The precise determination of diffusive properties is presented for a system described by the generalized Langevin equation. The time-dependent fractional diffusion function and the Green-Kubo relation as well as the generalized Stokes-Einstein formula ...
Jing-Dong Bao
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Discussion on generalized formulation of spin semiclassical Langevin equation
, 2023 The stochastic dynamics of spin semiclassical system at finite temperature is usually described by stochastic Landau-Lifshitz equation. In this work, the stochastic differential equation for spin semiclassical system is studied.
Xiao-Bao Yang +7 more
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Generalized Langevin equation with multiplicative trichotomous noise; pp. 113–127 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 The influence of noise flatness and memory-time on the dynamics of a generalized Langevin system driven by an internal Mittag-Leffler noise and by a multiplicative trichotomous noise is studied. In the asymptotic limit at a short memory time the dynamics
Erkki Soika +2 more
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Generalized Langevin Equations for Systems with Local Interactions [PDF]
Journal of Statistical Physics, 2020 We present a new method to approximate the Mori-Zwanzig (MZ) memory integral in generalized Langevin equations (GLEs) describing the evolution of smooth observables in high-dimensional nonlinear systems with local interactions. Building upon the Faber operator series we recently developed for the orthogonal dynamics propagator, and an exact ...
Yuanran Zhu, Daniele Venturi 0002
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Noise Spectral of GML Noise and GSR Behaviors for FGLE with Random Mass and Random Frequency
Fractal and Fractional, 2023 Due to the interest of anomalous diffusion phenomena and their application, our work has widely studied a fractional-order generalized Langevin Equation (FGLE) with a generalized Mittag–Leffler (GML) noise.
Lini Qiu +4 more
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On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator [PDF]
, 2015 The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag-Leffler noise.
Vaz, J, de Oliveira, EC, Camargo, RF
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