108 citations · 419 across the 35 of their papers we have counts for
6 papers · 1 filter
Ergodic directional switching in mobile insect groups
Carlos Escudero, Christian A. Yates, Jerome Buhl +4
We obtain a Fokker-Planck equation describing experimental data on the collective motion of locusts. The noise is of internal origin and due to the discrete character and finite nu…
Two species coagulation approach to consensus by group level interactions
Carlos Escudero, Fabricio Macia, Juan J. L. Velazquez
We explore the self-organization dynamics of a set of entities by considering the interactions that affect the different subgroups conforming the whole. To this end, we employ the…
Origins of scaling relations in nonequilibrium growth
Carlos Escudero, Elka Korutcheva
Scaling and hyperscaling laws provide exact relations among critical exponents describing the behavior of a system at criticality. For nonequilibrium growth models with a conserved…
Chemical Oscillations out of Chemical Noise
Carlos Escudero, Andres M. Rivera, Pedro J. Torres
The dynamics of one species chemical kinetics is studied. Chemical reactions are modelled by means of continuous time Markov processes whose probability distribution obeys a suitab…
Discretization-related issues in the KPZ equation: Consistency, Galilean-invariance violation, and fluctuation--dissipation relation
H. S. Wio, J. A. Revelli, R. R. Deza +2
In order to perform numerical simulations of the KPZ equation, in any dimensionality, a spatial discretization scheme must be prescribed. The known fact that the KPZ equation can b…
Stochastic growth of radial clusters: weak convergence to the asymptotic profile and implications for morphogenesis
Carlos Escudero
The asymptotic shape of randomly growing radial clusters is studied. We pose the problem in terms of the dynamics of stochastic partial differential equations. We concentrate on th…