Homogenization for a Class of Generalized Langevin Equations with an Application to Thermophoresis
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DOI: 10.1007/s10955-018-2192-9
Abstract: We study a class of systems whose dynamics are described by generalized Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate,… read more here.
Keywords: generalized langevin; homogenization class; class generalized; langevin equations ... See more keywords
Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom
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DOI: 10.1016/j.jde.2021.03.023
Abstract: Abstract An approximation of a Generalized Langevin equations with small mass and randomly fast oscillation is derived. By some bounded estimates and a diffusion approximation the limiting equation is shown to be stochastic partial differential… read more here.
Keywords: generalized langevin; diffusion approximation; approximation generalized; small mass ... See more keywords
Conformational Transitions of Amyloid-β: A Langevin and Generalized Langevin Dynamics Simulation Study
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DOI: 10.1021/acsomega.1c00516
Abstract: The dynamics of conformational transitions of the disordered protein, amyloid-β, is studied via Langevin and generalized Langevin dynamics simulations. The transmission coefficient for the unfold–misfold transition of amyloid-β is calculated from multiple independent trajectories that… read more here.
Keywords: generalized langevin; transition; langevin dynamics; langevin generalized ... See more keywords
Anomalous thermodynamics in homogenized generalized Langevin systems
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abea64
Abstract: We study functionals, such as heat and work, along trajectories of a class of multi-dimensional generalized Langevin systems in various limiting situations that correspond to different level of homogenization. These are the situations where one… read more here.
Keywords: generalized langevin; thermodynamics; thermodynamics homogenized; time scale ... See more keywords
On a Generalized Langevin Type Nonlocal Fractional Integral Multivalued Problem
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DOI: 10.3390/math7111015
Abstract: We establish sufficient criteria for the existence of solutions for a nonlinear generalized Langevin-type nonlocal fractional-order integral multivalued problem. The convex and non-convex cases for the multivalued map involved in the given problem are considered.… read more here.
Keywords: type nonlocal; generalized langevin; nonlocal fractional; langevin type ... See more keywords