Dynamics of random dipoles : chaos {\it vs} ferromagnetism

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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To appear on Journal of Statistical Mechanics

Scientific paper

The microcanonical dynamics of an ensemble of random magnetic dipoles in a needle has been investigated. Analyzing magnetic reversal times, a transition between a chaotic paramagnetic phase and an integrable ferromagnetic phase has been numerically found. In particular, a simple criterium for transition has been formulated. Close to the transition point the statistics of average magnetic reversal times and fluctuations have been studied and critical exponents numerically given.

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