Zobrazeno 1 - 10
of 1 009
pro vyhledávání: '"Klafter, J."'
Publikováno v:
Rev. Mod. Phys. 87, 483 (2015)
Random walk is a fundamental concept with applications ranging from quantum physics to econometrics. Remarkably, one specific model of random walks appears to be ubiquitous across many fields as a tool to analyze transport phenomena in which the disp
Externí odkaz:
http://arxiv.org/abs/1410.5100
Publikováno v:
Nature Chemistry {\bf 2}, 472 (2010)
It has long been appreciated that transport properties can control reaction kinetics. This effect can be characterized by the time it takes a diffusing molecule to reach a target -- the first-passage time (FPT). Although essential to quantify the kin
Externí odkaz:
http://arxiv.org/abs/1006.3477
Publikováno v:
PNAS 2009 106:13696-13701
We study the survival of a prey that is hunted by N predators. The predators perform independent random walks on a square lattice with V sites and start a direct chase whenever the prey appears within their sighting range. The prey is caught when a p
Externí odkaz:
http://arxiv.org/abs/0909.1445
Publikováno v:
PNAS 105, 5675 (2008)
Subdiffusive motion of tracer particles in complex crowded environments, such as biological cells, has been shown to be widepsread. This deviation from brownian motion is usually characterized by a sublinear time dependence of the mean square displac
Externí odkaz:
http://arxiv.org/abs/0806.3326
We study the long-time tails of the survival probability $P(t)$ of an $A$ particle diffusing in $d$-dimensional media in the presence of a concentration $\rho$ of traps $B$ that move sub-diffusively, such that the mean square displacement of each tra
Externí odkaz:
http://arxiv.org/abs/0805.2920
Publikováno v:
Phys. Rev. E 77, 032101 (2008)
The asymptotic mean number of distinct sites visited by a subdiffusive continuous time random walker in two dimensions seems not to have been explicitly calculated anywhere in the literature. This number has been calculated for other dimensions for o
Externí odkaz:
http://arxiv.org/abs/0711.1422
Publikováno v:
Nature 450, 77 (2007)
How long does it take a random walker to reach a given target point? This quantity, known as a first passage time (FPT), has led to a growing number of theoretical investigations over the last decade1. The importance of FPTs originates from the cruci
Externí odkaz:
http://arxiv.org/abs/0711.0682
Autor:
Flomenbom, Ophir, Klafter, J.
Publikováno v:
J. Chem. Phys. 123, 064903 (2005)
Trajectories of a signal that fluctuates between two states which originate from single molecule activities have become ubiquitous. Common examples are trajectories of ionic flux through individual membrane-channels, and of photon counts collected fr
Externí odkaz:
http://arxiv.org/abs/q-bio/0702034
We investigate two coupled properties of Levy stable random motions: The first passage times (FPTs) and the first passage leapovers (FPLs). While, in general, the FPT problem has been studied quite extensively, the FPL problem has hardly attracted an
Externí odkaz:
http://arxiv.org/abs/cond-mat/0611666