Theory of driven nonequilibrium critical phenomena

  title={Theory of driven nonequilibrium critical phenomena},
  author={Bao-Feng Feng and Shuai Yin and Fan Zhong},
  journal={Physical Review B},
A system driven in the vicinity of its critical point by varying a relevant field in an arbitrary function of time is a generic system that possesses a long relaxation time compared with the driving time scale and thus represents a large class of nonequilibrium systems. For such a manifestly nonlinear nonequilibrium strongly fluctuating system, we show that there exists universal nonequilibrium critical behavior that is incredibly well described by its equilibrium critical properties. A dynamic… 

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Results show that finite-time scaling is effective even in nonequilibrium phase transitions, and unambiguously discriminate the universality classes between the two models.

Absence of Criticality in the Phase Transitions of Open Floquet Systems.

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Phases fluctuations, self-similarity breaking and anomalous scalings in driven nonequilibrium critical phenomena

  • Weilun YuanF. Zhong
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2021
It is demonstrated that new exponents are generally required for scaling in the whole driven process once the lattice size is considered, which opens a new door in critical phenomena and suggest that much is yet to be explored in driven nonequilibrium critical phenomena.

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  • F. Zhong
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2018
It is shown that universal hysteresis scaling as predicted by the renormalization-group theory emerges unambiguously when the theory is combined intimately with the theory of nucleation and growth in the FOPTs of the paradigmatic two-dimensional Ising model driven by a linearly varying externally applied field below its critical point.

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The RG theory suggests that the well-known imaginary fixed points of the q-state Potts model for q>10/3 in the RG theory are the origin of the dynamic scaling found recently from numerical simulations, apart from logarithmic corrections.

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Phases fluctuations and anomalous finite-time scaling in an externally applied field on finite-sized lattices

  • Weilun YuanF. Zhong
  • Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2021
The results demonstrate that new exponents are needed for scaling in the whole driven process even in the case in which an external field is applied, and there exists a revised FTS regime in cooling that is found to exhibit a special feature different from that in heating.



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