Results 1 to 10 of about 3,220,420 (230)
Ab initio generalized Langevin equation. [PDF]
Proc Natl Acad Sci U S A, 2022 Significance Recent developments of neural network–based atomistic models enable large scale molecular dynamics based on quantum mechanical theory. However, there is still a gap between modeling microscale molecular dynamics and modeling mesoscale coarse-
Xie P, Car R, E W.
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Data-driven parameterization of the generalized Langevin equation [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2016 Significance The generalized Langevin equation (GLE) provides a precise description of coarse-grained variable dynamics in reduced dimension models. However, computation of the memory kernel poses a major challenge to the practical use of the GLE.
Huan Lei, Nathan A Baker, Xiantao Li
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Fractional Langevin equation [PDF]
Physical Review E, 2001 We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both sub- and superdiffusion of a free particle coupled to a fractal heat bath.
A. Caspi +37 more
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Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
Mathematics, 2020 We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation with two parameter Mittag–Leffler
Hossein Fazli +2 more
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Langevin equation in complex media and anomalous diffusion. [PDF]
J R Soc Interface, 2018 The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modelling approaches for the description of anomalous diffusion in biological systems, such as the very complex and ...
Vitali S +5 more
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On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation
Advances in Mathematical Physics, 2020 In this work, we give sufficient conditions to investigate the existence and uniqueness of solution to fractional-order Langevin equation involving two distinct fractional orders with unprecedented conditions (three-point boundary conditions including ...
Ahmed Salem, Noorah Mshary
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On the "generalized Generalized Langevin Equation" [PDF]
Journal of Chemical Physics, 2017 In molecular dynamics simulations and single molecule experiments, observables are usually measured along dynamic trajectories and then averaged over an ensemble ("bundle") of trajectories. Under stationary conditions, the time-evolution of such averages
Berendsen H. J. C. +6 more
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On the Fractal Langevin Equation
Fractal and Fractional, 2019 In this paper, fractal stochastic Langevin equations are suggested, providing a mathematical model for random walks on the middle- τ Cantor set.
Alireza Khalili Golmankhaneh
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Derivation of the Langevin Equation from the Microcanonical Ensemble [PDF]
EntropyWhen writing down a Langevin equation for the time evolution of a “system” in contact with a thermal bath, one typically makes the implicit (and often tacit) assumption that the thermal environment is in equilibrium at all times.
Ralf Eichhorn
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Generalized Langevin Equation and the Prabhakar Derivative
Mathematics, 2017 We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient and velocity autocorrelation function.
Trifce Sandev
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