Results 31 to 40 of about 1,205 (52)

Random Walks on Hyperspheres of Arbitrary Dimensions

open access: yes, 2004
We consider random walks on the surface of the sphere $S_{n-1}$ ($n \geq 2$) of the $n$-dimensional Euclidean space $E_n$, in short a hypersphere. By solving the diffusion equation in $S_{n-1}$ we show that the usual law $ \varpropto t $ valid in $E_{n-1}
Caillol, Jean-Michel
core   +2 more sources

Cross-link induced shrinkage of grafted Gaussian chains

open access: yes, 2014
The statistical mechanics of polymers grafted on surfaces has been the subject of intense research activity because of many potential applications. In this paper, we analytically investigate the conformational changes caused by a single cross-link on two
Benetatos, Panayotis
core   +1 more source

Strong Correlations Between Fluctuations and Response in Aging Transport

open access: yes, 2006
Once the problem of ensemble averaging is removed, correlations between the response of a single molecule to an external driving field $F$, with the history of fluctuations of the particle, become detectable.
E. Barkai, E. Barkai, M. V. Feigelman
core   +1 more source

Computer Simulation Study of the Levy Flight Process

open access: yes, 2010
Random walk simulation of the Levy flight shows a linear relation between the mean square displacement and time. We have analyzed different aspects of this linearity.
Bouchaud   +22 more
core   +1 more source

Relativistic Weierstrass random walks

open access: yes, 2010
The Weierstrass random walk is a paradigmatic Markov chain giving rise to a L\'evy-type superdiffusive behavior. It is well known that Special Relativity prevents the arbitrarily high velocities necessary to establish a superdiffusive behavior in any ...
Alberto Saa   +4 more
core   +1 more source

Relaxation Properties of Small-World Networks

open access: yes, 2000
Recently, Watts and Strogatz introduced the so-called small-world networks in order to describe systems which combine simultaneously properties of regular and of random lattices.
A. Barrat   +23 more
core   +1 more source

Levy model of cancer

open access: yes, 2020
A small portion of a tissue defines a microstate in gene expression space. Mutations, epigenetic events or external factors cause microstate displacements which are modeled by combining small independent gene expression variations and large Levy jumps ...
Gonzalez, Augusto   +2 more
core  

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