47 citations · 162 across the 8 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…
Continuous-time random-walk model for anomalous diffusion in expanding media
F. Le Vot, E. Abad, S. B. Yuste
Expanding media are typical in many different fields, e.g. in Biology and Cosmology. In general, a medium expansion (contraction) brings about dramatic changes in the behavior of d…
Numerical matrix method for quantum periodic potentials
Felipe Le Vot, Juan J. Meléndez, Santos Bravo Yuste
A numerical matrix methodology is applied to quantum problems with periodic potentials. The procedure consists essentially in replacing the true potential by an alternative one, re…