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Article
Spectral Decomposition of a Fokker–Planck Equation at Criticality
The mean field for a complex network consisting of a large but finite number of random two-state elements, \(M\) ...
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Article
Chip** away at memory
Inverse power-law behavior is known to be characteristic of adaptation, learning, and memory. Herein, we propose a phenomenological model of forgetting based on renewal theory that introduces a new psychophysi...
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Chapter
Dynamical Generators of Lévy Statistics in Biology
It is remarkable that it has only been two decades since Mandelbrot coined the term fractal, and only a decade since that term began to penetrate into the biomedical community in a significant way. This term c...
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Article
A new nonlinear stochastic Liouville equation
A nonlinear stochastic Liouville equation postulated phenomenologically and used recently for the description of the interplay of dam** and nonlinearity is shown to arise in a natural manner as an approximat...
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Chapter
Excimers in Molecular Crystals: The Relaxation of a Nonlinear Oscillator
Excimer physics is intimately related to nonlinear physics in general. We describe below a simple classical model which two of the present authors developed several years ago. When extended, as we have done re...
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Article
Bistable flow driven by coloured gaussian noise: A critical study
A one-dimensional bistable flow driven by additive, exponentially correlated Gaussian noise is considered. The small relaxation time Fokker-Planck approximations, widely used in the recent literature, are deri...
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Article
Nonlinear index of refraction in semiconductors
Experimental work on light refraction in semiconductors suggests that there are two separate mechanisms by which the index of refraction becomes nonlinear: direct saturation, on the one hand, and the Burstein-...
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Article
Non-gaussian velocity correlations in fluids
Several molecular dynamics experiments in monoatomic fluids indicate that the velocity v of a tagged particle has a clear non-Gaussian behaviour: here we present typical simulation data obtained for <v 2(0)v 2(t)...
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Article
Probability diffusion in non-Markhovian, non-Gaussian molecular ensembles: A theoretical analysis and computer simulation
A theoretical generalisation of the Fokker/Planck equation for atomic and molecular diffusion is compared with the results of a molecular dynamics simulation of a triatomic molecule ofC 2v symmetry. The molecular...
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Article
Non-Markoffian excitation-relaxation processes
It is shown that the Mori theory of relaxation provides a suitable theoretical framework for the study of excitation-relaxation processes of a non-Markoffian kind, provided that the point of view of Nordholm a...
