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복잡계 이론물리 연구단
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Scaling Law for Irreversible Entropy Production in Critical Systems

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Title
Scaling Law for Irreversible Entropy Production in Critical Systems
Author(s)
Danh-Tai Hoang; B. Prasanna Venkatesh; Seungju Han; Junghyo Jo; Gentaro Watanabe; Mahn-Soo Choi
Publication Date
2016-06
Journal
SCIENTIFIC REPORTS, v.6, no., pp.27603 -
Publisher
NATURE PUBLISHING GROUP
Abstract
We examine the Jarzynski equality for a quenching process across the critical point of second-order phase transitions, where absolute irreversibility and the effect of finite-sampling of the initial equilibrium distribution arise in a single setup with equal significance. We consider the Ising model as a prototypical example for spontaneous symmetry breaking and take into account the finite sampling issue by introducing a tolerance parameter. The initially ordered spins become disordered by quenching the ferromagnetic coupling constant. For a sudden quench, the deviation from the Jarzynski equality evaluated from the ideal ensemble average could, in principle, depend on the reduced coupling constant ε0 of the initial state and the system size L. We find that, instead of depending on ε0 and L separately, this deviation exhibits a scaling behavior through a universal combination of ε0 and L for a given tolerance parameter, inherited from the critical scaling laws of second-order phase transitions. A similar scaling law can be obtained for the finite-speed quench as well within the Kibble-Zurek mechanism.
URI
http://pr.ibs.re.kr/handle/8788114/2525
DOI
10.1038/srep27603
ISSN
2045-2322
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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