Generalized Langevin equation for solute dynamics in fluids with time-dependent friction
Results in Physics, 2023 The generalized Langevin equation (GLE) for a Brownian particle (BP) in a bath under the influence of a moving external harmonic potential is derived. It is assumed that the friction coefficients of the bath particles depend on time.
Jana Tóthová, Vladimír Lisý
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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
Fractal and Fractional, 2022 As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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Computing generalized Langevin equations and generalized Fokker–Planck equations [PDF]
Proceedings of the National Academy of Sciences, 2009 The Mori–Zwanzig formalism is an effective tool to derive differential equations describing the evolution of a small number of resolved variables. In this paper we present its application to the derivation of generalized Langevin equations and generalized non-Markovian Fokker–Planck equations.
Eric, Darve, Jose, Solomon, Amirali, Kia
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Information-Geometric Markov Chain Monte Carlo Methods Using Diffusions [PDF]
, 2014 Recent work incorporating geometric ideas in Markov chain Monte Carlo is reviewed in order to highlight these advances and their possible application in a range of domains beyond statistics. A full exposition of Markov chains and their use in Monte Carlo
Livingstone, Samuel +5 more
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From Langevin to generalized Langevin equations for the nonequilibrium Rouse model [PDF]
Physical Review E, 2013 12 pages, 1 ...
Maes, Christian, Thomas, Simi R.
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Analytical and Numerical Treatments of Conservative Diffusions and the Burgers Equation
Entropy, 2018 The present work is concerned with the study of a generalized Langevin equation and its link to the physical theories of statistical mechanics and scale relativity.
Dimiter Prodanov
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On the derivation of the generalized Langevin equation and the fluctuation-dissipation theorem
, 2022 The generalized Langevin equation is widely used to model the effective dynamics of chemical, soft or biological systems. It is used to describe the evolution of a small number of collective variables, and is derived using the projection operator ...
Hadrien Vroylandt
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Advances in Mathematical Physics, 2022 By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders.
Ahmed Salem, Noorah Mshary
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Another Solution to the Schrödinger-Langevin Equation
, 2021 Introduction: an alternative solution to the Schrodinger-Langevin equation is presented, where the temporal dependence is explained, assuming a Coulomb potential. Finally, the trajectory equations are found.
Mendoza-Suárez, Rosalba +2 more
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Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
Advances in Difference Equations, 2019 In this paper, we consider a nonlocal boundary value problem of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. We study the existence, uniqueness and generalized Ulam–Hyers–Rassias stability of the proposed model with the
Rizwan Rizwan, Akbar Zada, Xiaoming Wang
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