47 citations · 87 across the 3 of their papers we have counts for
8 papers
First-encounter time of two diffusing particles in confinement
F. Le Vot, S. B. Yuste, E. Abad +1
We investigate how confinement may drastically change both the probability density of the first-encounter time and the related survival probability in the case of two diffusing par…
Continuous Time Random Walk in a velocity field: Role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing
F. Le Vot, E. Abad, R. Metzler +1
We consider the dynamics of a separable Continuous Time Random Walk (CTRW) when the random walker is biased by a velocity field in a uniformly growing domain. Concrete examples for…
Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains
E. Abad, C. N. Angstmann, B. I. Henry +3
Reaction-diffusion equations are widely used as the governing evolution equations for modeling many physical, chemical, and biological processes. Here we derive reaction-diffusion…
Continuous time random walks and Fokker-Planck equation in expanding media
F. Le Vot, S. B. Yuste
We consider a continuous random walk model for describing normal as well as anomalous diffusion of particles subjected to an external force when these particles diffuse in a unifor…
Encounter-controlled coalescence and annihilation on a one-dimensional growing domain
F. Le Vot, C. Escudero, E. Abad +1
The kinetics of encounter-controlled processes in growing domains is markedly different from that in a static domain. Here, we consider the specific example of diffusion limited co…
Reaction-diffusion kinetics in growing domains
C. Escudero, S. B. Yuste, E. Abad +1
Reaction-diffusion models have been used over decades to study biological systems. In this context, evolution equations for probability distribution functions and the associated st…