Results 11 to 20 of about 148,429 (293)
Measurement of Anomalous Diffusion Using Recurrent Neural Networks
Physical Review E, 2019 Anomalous diffusion occurs in many physical and biological phenomena, when the growth of the mean squared displacement (MSD) with time has an exponent different from one. We show that recurrent neural networks (RNN) can efficiently characterize anomalous
Bo, Stefano +3 more
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Anomalous Heat Diffusion [PDF]
Physical Review Letters, 2014 Consider anomalous energy spread in solid phases, i.e., $MSD= \int (x -{\langle x \rangle}_E)^2 _E(x,t)dx \propto t^ $, as induced by a small initial excess energy perturbation distribution $ _{E}(x,t=0)$ away from equilibrium. The associated total thermal equilibrium heat flux autocorrelation function $C_{JJ}(t)$ is shown to obey rigorously the ...
Liu, S. +4 more
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A Generalized Diffusion Equation: Solutions and Anomalous Diffusion
Fluids, 2023 We investigate the solutions of a generalized diffusion-like equation by considering a spatial and time fractional derivative and the presence of non-local terms, which can be related to reaction or adsorption–desorption processes.
Ervin K. Lenzi +4 more
doaj +1 more source
Unexpected crossovers in correlated random-diffusivity processes
New Journal of Physics, 2020 The passive and active motion of micron-sized tracer particles in crowded liquids and inside living biological cells is ubiquitously characterised by ‘viscoelastic’ anomalous diffusion, in which the increments of the motion feature long-ranged negative ...
Wei Wang +4 more
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Algebraic Correlation Function and Anomalous Diffusion in the HMF model [PDF]
, 2007 In the quasi-stationary states of the Hamiltonian Mean-Field model, we numerically compute correlation functions of momenta and diffusion of angles with homogeneous initial conditions.
Bouchet F +11 more
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Anomalous diffusion with absorbing boundary [PDF]
Physical Review E, 2007 In a very long Gaussian polymer on time scales shorter that the maximal relaxation time, the mean squared distance travelled by a tagged monomer grows as ~t^{1/2}. We analyze such sub-diffusive behavior in the presence of one or two absorbing boundaries and demonstrate the differences between this process and the sub-diffusion described by the ...
Kantor, Yacov, Kardar, Mehran
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Caputo Fractional Derivative and Quantum-Like Coherence
Entropy, 2021 We study two forms of anomalous diffusion, one equivalent to replacing the ordinary time derivative of the standard diffusion equation with the Caputo fractional derivative, and the other equivalent to replacing the time independent diffusion coefficient
Garland Culbreth +3 more
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Khinchin Theorem and Anomalous Diffusion [PDF]
Physical Review Letters, 2008 4 pages, 3 ...
Lapas, Luciano Calheiros +4 more
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Disentangling sources of anomalous diffusion [PDF]
Diffusion Fundamentals, 2013 4 pages, 3 figures, submitted to Phys.
Thiel, Felix +2 more
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Anomalous Diffusion in Fractal Globules [PDF]
Physical Review Letters, 2015 The fractal globule state is a popular model for describing chromatin packing in eukaryotic nuclei. Here we provide a scaling theory and dissipative particle dynamics (DPD) computer simulation for the thermal motion of monomers in the fractal globule state. Simulations starting from different entanglement-free initial states show good convergence which
M. V. Tamm +3 more
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