Results 41 to 50 of about 11,396 (164)
Fractal and FractionalThe Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
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On the quantum langevin equation [PDF]
Journal of Statistical Physics, 1987 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ford, G. W., Kac, M.
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Boundary Value ProblemsThe main objective of the present paper is to establish the existence and uniqueness of solutions for the fractional Langevin equation involving the ϕ-Caputo fractional operator with nonlocal boundary conditions.
Sombir Dhaniya +3 more
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An attempt toward the generalized Langevin dynamics simulation
Condensed Matter Physics, 2008 An attempt to generalize the Langevin dynamics simulation method is presented based on the generalized Langevin theory of liquids, in which the dynamics of both solute and solvent is treated by the generalized Langevin equations, but the integration of ...
B.Kim, S.-H.Chong, R.Ishizuka, F.Hirata
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Synchronization and anti-synchroniztion of dynamically coupled networks
New Journal of Physics, 2019 We consider the coupling between two networks, each having N nodes whose individual dynamics is modeled by a two-state master equation. The intra-network interactions are all-to-all, whereas the inter-network interactions involve only a small percentage ...
Malgorzata Turalska +2 more
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Nonequilibrium solvent response force: What happens if you push a Brownian particle
Physical Review ResearchIn this Letter we discuss how to add forces to the Langevin equation. We derive an exact generalized Langevin equation for the dynamics of one particle subject to an external force embedded in a system of many interacting particles.
Fabian Koch, Jona Erle, Tanja Schilling
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New Journal of Physics, 2013 We develop analytical tools and numerical methods for time evolving the total density matrix of the finite-size Anderson model. The model is composed of two finite metal grains, each prepared in canonical states of differing chemical potential and ...
Manas Kulkarni +2 more
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Boundary Value ProblemsThe nonlinear fractional Langevin equation is an important equation used in various areas of physics and mathematics. In this article, we focus on the singular-hybrid case of the generalized Langevin equations and prove the existence of a solution using ...
Samane Ijadi +3 more
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Current-induced dynamics in carbon atomic contacts
Beilstein Journal of Nanotechnology, 2011 Background: The effect of electric current on the motion of atoms still poses many questions, and several mechanisms are at play. Recently there has been focus on the importance of the current-induced nonconservative forces (NC) and Berry-phase derived ...
Jing-Tao Lü +3 more
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Langevin equation in terms of conformable differential operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions.
Ahmad Bashir +3 more
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