Results 11 to 20 of about 11,396 (164)
Data-driven parameterization of the generalized Langevin equation. [PDF]
Proc Natl Acad Sci U S A, 2016 Lei H, Baker NA, Li X.
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LANGEVIN EQUATION ON FRACTAL CURVES [PDF]
Fractals, 2016 We analyze random motion of a particle on a fractal curve, using Langevin approach. This involves defining a new velocity in terms of mass of the fractal curve, as defined in recent work. The geometry of the fractal curve, plays an important role in this analysis.
Satin, Seema, Gangal, A. D.
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From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description
Mathematics, 2017 The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces.
Alessandro Taloni
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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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Quasirelativistic Langevin equation [PDF]
Physical Review E, 2013 We address the problem of a microscopic derivation of the Langevin equation for a weakly relativistic Brownian particle. A non-covariant Hamiltonian model is adopted, in which the free motion of particles is described relativistically, while their interaction is treated classically, i.e.
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The generalized Schrödinger–Langevin equation [PDF]
Annals of Physics, 2014 In this work, we derive a generalization of the so-called Schr dinger-Langevin or Kostin equation for a Brownian particle interacting with a heat bath. This generalization is based on a nonlinear interaction model providing a state-dependent dissipation process exhibiting multiplicative noise.
Bargueño, Pedro, Miret-Artés, Salvador
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International Journal of Differential Equations, 2010 We study a Dirichlet boundary value problem for Langevin equation involving two fractional orders. Langevin equation has been widely used to describe the evolution of physical phenomena in fluctuating environments.
Bashir Ahmad, Juan J. Nieto
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Generalized Langevin equation with fluctuating diffusivity
Physical Review Research, 2022 A generalized Langevin equation with fluctuating diffusivity (GLEFD) is proposed, and it is shown that the GLEFD satisfies a generalized fluctuation-dissipation relation.
Tomoshige Miyaguchi
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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 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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