124 citations · 124 across the 1 of their papers we have counts for
3 papers
cond-mat.soft1999★ 124 cited
Theory of spiral wave dynamics in weakly excitable media: asymptotic reduction to a kinematic model and applications
Vincent Hakim, Alain Karma
In a weakly excitable medium, characterized by a large threshold stimulus, the free end of an isolated broken plane wave (wave tip) can either rotate (steadily or unsteadily) aroun…
adap-org1997
Analysis of a dissipative model of self-organized criticality with random neighbors
M. -L. Chabanol, V. Hakim
We analyze a random neighbor version of the OFC stick-slip model. We find that the mean avalanche size is finite as soon as dissipation exists in the bulk but that this size grows…
cond-mat1996
Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary gaussian processes
Bernard Derrida, Vincent Hakim, Reuven Zeitak
The fraction r(t) of spins which have never flipped up to time t is studied within a linear diffusion approximation to phase ordering. Numerical simulations show that, even in this…