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Multiscale modeling and simulation for anomalous and nonergodic dynamics: From statistics to mathematics. [PDF]
Wang H, Li X, Zhao L, Deng W.
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Kinetic Description of Viral Capsid Self-Assembly Using Mesoscopic Non-Equilibrium Thermodynamics. [PDF]
Peña J, Dagdug L, Reguera D.
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Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]
Çetin C +5 more
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Existence and uniqueness of solutions for fuzzy fractional integro-differential equations with boundary conditions. [PDF]
K A, V P, Kausar N, Salman MA.
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Chapman-Kolmogorov test for estimating memory length of two coupled processes. [PDF]
Motahari H +3 more
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Solution of the generalized Langevin equation
Journal of Chemical Physics, 1985The generalized Langevin equation is solved numerically by replacing the driving forces by stochastic, Gaussian distributed forces with a Gaussian time correlation. The calculated Brownian trajectories are compared with the corresponding classical mechanical and Monte Carlo trajectories and found to exhibit fractal properties with a dimension equal to ...
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Generalized Langevin equation with tempered memory kernel
We study a generalized Langevin equation for a free particle in presence of a truncated power-law and Mittag-Leffler memory kernel. It is shown that in presence of truncation, the particle from subdiffusive behavior in the short time limit, turns to ...
André Liemert +2 more
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Generalized Langevin equation for an oscillator
Physical Review B, 1986A central oscillator coupled to a bath of harmonic oscillators with a two-dimensional Debye spectrum is set up as a model for the dynamics of strongly coupled linear systems. The bath oscillators are eliminated from the central oscillator's equation of motion, other than for initial conditions. The resulting Langevin equation is solved analytically for
, Kemeny, , Mahanti, , Kaplan
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Generalized Langevin Equations
The Journal of Chemical Physics, 1971A derivation is presented for a generalized Langevin equation of motion for a dynamical variable φ(R(t), P(t)) where R and P are the position and momentum of a single heavy particle in a bath of light particles. A detailed analysis is given for the conditions required for the validity of the equation.
J. Albers, J. M. Deutch, Irwin Oppenheim
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