146 citations · 551 across the 10 of their papers we have counts for
4 papers · 1 filter
An exactly soluble noisy traveling wave equation appearing in the problem of directed polymers in a random medium
Eric Brunet, Bernard Derrida
We calculate exactly the velocity and diffusion constant of a microscopic stochastic model of evolving particles which can be described by a noisy traveling wave equation with…
Universal Properties of Growing Networks
P. L. Krapivsky, B. Derrida
Networks growing according to the rule that every new node has a probability p_k of being attached to k preexisting nodes, have a universal phase diagram and exhibit power law deca…
Sample-Dependent Phase Transitions in Disordered Exclusion Models
C. Enaud, B. Derrida
We give numerical evidence that the location of the first order phase transition between the low and the high density phases of the one dimensional asymmetric simple exclusion proc…
Current fluctuations in non-equilibrium diffusive systems: an additivity principle
T. Bodineau, B. Derrida
We formulate a simple additivity principle allowing to calculate the whole distribution of current fluctuations through a large one dimensional system in contact with two reservoir…