| Numéro |
J. Phys. I France
Volume 2, Numéro 8, August 1992
|
|
|---|---|---|
| Page(s) | 1621 - 1644 | |
| DOI | https://doi.org/10.1051/jp1:1992231 | |
J. Phys. I France 2 (1992) 1621-1644
The dynamical thermal fuse model
Christian Vanneste and Didier SornetteLaboratoire de Physique de la Matière Condensée Université de Nice-Sophia Antipolis, Faculté des Sciences, B.P. n$^{\circ}$ 71, 06108 Nice Cedex 2, France
(Received 3 April 1992, accepted 14 April 1992)
Abstract
A dynamical version of the random fuse model is presented in which the temperature
T of a fuse
resistance
r carrying the current
i obeys the equation
, where
rib
accounts for a generalized Joule heating and
-aT describes the coupling to a thermal bath. For random fuse model is recovered in the limit
, whereas the other extreme
corresponds to the percolation model. In the intermediate regime, the competition between the two time scales
and
a-1 of the temperature field produces a rich phenomenology of rupture patterns which present sensitive dependence upon the input
current.
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