349 citations · 1.1k across the 13 of their papers we have counts for
8 papers · 1 filter
Systems with two symmetric absorbing states: relating the microscopic dynamics with the macroscopic behavior
F. Vazquez, C. Lopez
We propose a general approach to study spin models with two symmetric absorbing states. Starting from the microscopic dynamics on a square lattice, we derive a Langevin equation fo…
Crystallization and melting of bacteria colonies and Brownian Bugs
Francisco Ramos, Cristobal Lopez, E. Hernandez-Garcia +1
Motivated by the existence of remarkably ordered cluster arrays of bacteria colonies growing in Petri dishes and related problems, we study the spontaneous emergence of clustering…
Multiple time-scale approach for a system of Brownian particles in a non-uniform temperature field
Cristobal Lopez, Umberto Marini Bettolo Marconi
The Smoluchowsky equation for a system of interacting Brownian particles in a temperature gradient is derived from the Kramers equation by means of a multiple time-scale method. Th…
Absorbing phase transition from a structured active particle phase
Cristobal Lopez, Francisco Ramos, Emilio Hernandez-Garcia +1
This submission to arXiv has been withdrawn by the authors
Macroscopic description of particle systems with non-local density-dependent diffusivity
Cristobal Lopez
In this paper we study macroscopic density equations in which the diffusion coefficient depends on a weighted spatial average of the density itself. We show that large differences…
Birth, death and diffusion of interacting particles
Emilio Hernandez-Garcia, Cristobal Lopez
Individual-based models of chemical or biological dynamics usually consider individual entities diffusing in space and performing a birth-death type dynamics. In this work we study…