We record and analyze the noise experienced by a tracer particle in a one-dimensional system of particles interacting with hard-core interactions. We find that the correlations of the noise are long-range, with an algebraic decay in time.

Both theory and experiment suggest that reptation plays a minor role in the viscoelastic response of polymers in the glassy state. The time for reptation is so long that the entanglement network can be considered to be permanent, at least for deformation far below Tg. We have developed a network...

Data relating photon migration in human tissue can be obtained from experiments in which laser light is injected into one face of a finite slab of tissue and detected at the opposite face. From the results of such experiments one would like to infer optical properties of the underlying tissue...

There have been several publications dealing with the theory of semi-Markov processes, [1-6]. Most of these have been purely theoretical analyses, although it is realized that the theory has many potential applications, [4, 6], particularly to so-called "repairman" problems and to problems in...

We consider a system consisting of an infinite number of identical particles on a lattice initially uniformly distributed, which diffuese in the presence of a singke mobile trap and ask for the time-dependent behavior of the distance of the trap from the nearest particle. This quantity is a...

The passage of ions through membrane channels plays an important role in many fields of biology. An earlier paper [M. Boguñá, A.M. Berezhkovskii, G.H. Weiss, Phys. Rev. E 62 (2000) 3250] developed a toy model for statistical properties of the occupancy of a single site by different numbers of...

A comparison has been made between the deterministic and stochastic (master equation) formulation of nonlinear chemical rate processes with multiple stationary states. We have shown, via two specific examples of chemical reaction schemes, that the master equations have quasi-stationary state...

We point out the existence of computationally convenient techniques for calculating the joint probability density for the position of a Pearson random walk after n steps. A new Fourier-Bessel function expansion for pn(r, θ) is developed for this purpose which does not require radial symmetry,...

We analyze transport properties of a random walk on a comb structure, which serves as a model for a random walk on the backbone of a percolation cluster. It is shown that the random walk along the x axis, which is the analog of the backbone, exhibits anomalous diffusion in that 〈x2(n)〉 ∼...

We consider two effects on kinetics that have not generally been taken into account in analyses of classical trapping models for the reactions A + T → T and A + T → 0: the effects due to correlations in the initial positions of the A's and those due to the state of mobility of each of the...