# Theory of driven nonequilibrium critical phenomena

@article{Feng2016TheoryOD, title={Theory of driven nonequilibrium critical phenomena}, author={Bao-Feng Feng and Shuai Yin and Fan Zhong}, journal={Physical Review B}, year={2016}, volume={94}, pages={144103} }

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…

## 12 Citations

### Driving driven lattice gases to identify their universality classes.

- PhysicsPhysical review. E
- 2019

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.

- PhysicsPhysical review letters
- 2019

It is revealed that fluctuations turn the transition first order when the driving frequency is finite, which can be traced back to a universal mechanism, which crucially hinges on the competition of degenerate, near critical modes associated with higher Floquet Brillouin zones.

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

- PhysicsJournal 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.

### Self-Similarity Breaking: Anomalous Nonequilibrium Finite-Size Scaling and Finite-Time Scaling

- Physics
- 2020

Symmetry breaking plays a pivotal role in modern physics. Although self-similarity is also a symmetry and appears ubiquitously in nature, a fundamental question is whether self-similarity breaking…

### Dynamical off-equilibrium scaling across magnetic first-order phase transitions

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2018

We investigate the off-equilibrium dynamics of a classical spin system with symmetry in 2 < D < 4 spatial dimensions and in the limit . The system is set up in an ordered equilibrium state and is…

### Effects Induced by the Initial Condition in the Quantum Kibble-Zurek Scaling for Changing the Symmetry-Breaking Field

- PhysicsEntropy
- 2016

Study of the driven quantum critical dynamics in which a symmetry-breaking field is linearly changed starting from the vicinity of the critical point finds scaling behaviors in the driven dynamics can be described by the Kibble–Zurek scaling with the initial symmetry- Breaking field being included as its additional scaling variable.

### Universal scaling in first-order phase transitions mixed with nucleation and growth

- PhysicsJournal 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.

### Renormalization-group theory for cooling first-order phase transitions in Potts models.

- PhysicsPhysical review. E
- 2017

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.

### Activating critical exponent spectra with a slow drive

- PhysicsPhysical Review Research
- 2020

We uncover an aspect of the Kibble--Zurek phenomenology, according to which the spectrum of critical exponents of a classical or quantum phase transition is revealed, by driving the system slowly in…

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

- PhysicsJournal 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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