The random fuse network as a dipolar magnet

The random fuse network as a model of rupture in a disordered medium

2014 The rupture problem in a disordered system is investigated through numerical simulations and experiments in a discrete fusewire network. Statistical results on the current distribution and the maximum current as a function of the density of defects in the network are compared with theoretical interpretations. Specific defect interactions (enhancement and screening effects) are emphasized. ...

Glassy relaxation without freezing in a random dipolar-coupled Ising magnet.

We have measured the magnetic susceptibility, X'+iX", of the dilute dipolar-coupled Ising magnet LiHopp45Yp955F4 over six decades of frequency from 0.02 Hz to 20 kHz. The system behaves as an ideal relaxational glass with Arrhenius behavior in temperature of the peak in X". Scaling data from T=100 mK to T =300 mK by the peak in X" shows an enhanced low-frequency response at high temperatures, i...

A random fuse model for breaking processes

2014 We introduce and study a simple idealized model to describe breaking processes by analysing the current-carrying properties of a random network consisting of insulators and fuses. By increasing the value of the external voltage applied across the network, a sequence of fuses will « burn out » and change irreversible into insultating bonds. This process terminates when a conducting path no ...

Ferromagnetism, glassiness, and metastability in a dilute dipolar-coupled magnet.

%e have measured the ac magnetic susceptibility of the model dilute dipolar-coupled Ising system LiHo„Y& -„F4. The x 0.46 material displays an ordinary ferromagnetic transition, while the x 0.045 and 0.167 samples are two very different magnetic glasses. Thermal relaxation times are more than five times longer for x 0.167 than for x ~0.045. In addition, the more concentrated glass shows history...

Properties of the branched state of an Ising dipolar magnet