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8 - Non-equilibrium phase transitions

from Part II - Applications

Published online by Cambridge University Press:  01 May 2025

Antoni Planes
Affiliation:
University of Barcelona
Avadh Saxena
Affiliation:
Los Alamos National Laboratory
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Summary

Non-equilibrium phase transitions are non-thermal transitions that occur out-of-equilibrium. The chapter first discusses systems that are subjected and respond with hysteresis to an oscillating field due to a competition between driving and relaxation time scales. When the former is much shorter than the latter, a non-equilibrium transition occurs associated with the dynamical symmetry breaking due to hysteresis. A dynamical magnetic model is introduced and it is shown that the mean magnetization in a full cycle is the adequate order parameter for this transition. A mean-field solution predicting first-order, critical and tricritical behaviours is analysed in detail. The second example refers to externally driven disordered systems that respond intermittently through avalanches. The interesting aspect is that for a critical amount of disorder, avalanches occur with an absence of characteristic scales, which define avalanche criticality as reported in different ferroic materials. This behaviour can be accounted for by lattice models with disorder, driven by athermal dynamics.

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Chapter
Information
Phase Transitions
A Materials Perspective
, pp. 272 - 299
Publisher: Cambridge University Press
Print publication year: 2025

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