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Competing field pulse induced dynamic transition in Ising models

Arnab Chatterjee·Bikas K. Chakrabarti
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Abstract

The dynamic magnetization-reversal phenomena in the Ising model under a finite-duration external magnetic field competing with the existing order for $T<T_c^0$ has been discussed. The nature of the phase boundary has been estimated from the mean-field equation of motion. The susceptibility and relaxation time diverge at the MF phase boundary. A Monte Carlo study also shows divergence of relaxation time around the phase boundary. Fluctuation of order parameter also diverge near the phase boundary. The behavior of the fourth order cumulant shows two distinct behavior: for low temperature and pulse duration region of the phase boundary the value of the cumulant at the crossing point for different system sizes is much less than that corersponding to the static transition in the same dimension which indicate a new universality class for the dynamic transition. Also, for higher temperature and pulse duration, the transition seem to fall in a mean-field like weak-singularity universality class.

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Arnab Chatterjee, Bikas K. Chakrabarti. 2004-01-21. Competing field pulse induced dynamic transition in Ising models. https://arxiv.org/abs/cond-mat/0312454

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