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Spatial fluctuations of a surviving particle in the trapping reaction
L. Anton, R. A. Blythe, A. J. Bray
We consider the trapping reaction, , where and particles have a diffusive dynamics characterized by diffusion constants and . The interaction with …
Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem
Alan J. Bray, Satya N. Majumdar, Richard A. Blythe
We consider the trapping reaction A + B -> B in space dimension d<=2. By formally eliminating the B particles from the problem we derive an effective dynamics for the A particles f…
Survival probability of a diffusing particle in the presence of Poisson-distributed mobile traps
R. A. Blythe, A. J. Bray
The problem of a diffusing particle moving among diffusing traps is analyzed in general space dimension d. We consider the case where the traps are initially randomly distributed i…
Perturbation theory for the one-dimensional trapping reaction
R. A. Blythe, A. J. Bray
We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known…
Interface Fluctuations under Shear
Alan J. Bray, Andrea Cavagna, Rui D. M. Travasso
Coarsening systems under uniform shear display a long time regime characterized by the presence of highly stretched and thin domains. The question then arises whether thermal fluct…
Persistence of a Continuous Stochastic Process with Discrete-Time Sampling
Satya N. Majumdar, Alan J. Bray, George C. M. A. Ehrhardt
We introduce the concept of `discrete-time persistence', which deals with zero-crossings of a continuous stochastic process, X(T), measured at discrete times, T = n ΔT. For a Gauss…