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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
93/2006

Tunneling time for an Ising spin system with Glauber dynamics

Tobias Kuna and Guido Manzi

Abstract

The time spent by a ferromagnetic system, ruled by a Kac potential $J_{\gamma}$, in one of the two phases has the order of magnitude of 1 divided by the probability of observing so a strong fluctuation that an interface is produced and move until the opposite phase is reached. That probability is exponentially small in the intensity $\gamma$ of the potential and the free energy gap between one of the phase and the next stationary state, where both phases are present in the same quantity separated by an interface.

Received:
Aug 30, 2006
Published:
Aug 30, 2006

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Preprint
2006 Repository Open Access
Tobias Kuna and Guido Manzi

Tunneling time for an Ising spin system with Glauber dynamics