Driving Driven Lattice Gases to Identify Their Universality Classes

Abstract

The critical behavior of driven lattice gas models has been studied for decades as a paradigm to explore nonequilibrium phase transitions and critical phenomena. However, there exists a long-standing controversy in the universality classes to which they belong. This is of paramount importance as it implies the question of whether or not a microscopic model and its mesoscopic field theory may possess different symmetries in nonequilibrium critical phenomena in contrast to their equilibrium counterparts. Here, we heat with finite rates two generic models of driven lattice gases across their respective nonequilibrium critical points into further nonequilibrium conditions. Employing the theory of finite-time scaling, we are able to unambiguously discriminate the universality classes between the two models. In particular, the infinitely driven lattice gas and the randomly driven lattice gas models belong to different universality classes. These results show that finite-time scaling is effective even in nonequilibrium phase transitions.

arXiv comment6 pages, 3 figures

References in corpus (34)

• Nonequilibrium dynamics of closed interacting quantum systems
• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Cosmological Experiments in Condensed Matter Systems
• Universality classes in nonequilibrium lattice systems
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Generalized Dynamic Scaling for Critical Magnetic Systems
• Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Kibble-Zurek Mechanism and Finite-Time Scaling
• Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs
• Dynamic behavior of anisotropic non-equilibrium driving lattice gases
• Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics
• Theory of Driven Nonequilibrium Critical Phenomena
• Universal driven critical dynamics across a quantum phase transition in ferromagnetic spinor atomic Bose-Einstein condensates
• Is the particle current a relevant feature in driven lattice gases?
• Non-equilibrium relaxation and critical aging for driven Ising lattice gases
• Off-equilibrium scaling behaviors driven by time-dependent external fields in three-dimensional O(N) vector models
• Finite-Size Scaling in the Driven Lattice Gas
• Universality classes of driven lattice gases
• Universal dynamic scaling in three-dimensional Ising spin glasses
• Dynamic scaling of topological ordering in classical systems
• Ordering dynamics of the driven lattice gas model
• Kibble-Zurek mechanism beyond adiabaticity: Finite-time scaling with critical initial slip
• Comment on ``Dynamic behavior of anisotropic non-equilibrium driving lattice gases''
• Transverse Fluctuations in the Driven Lattice Gas
• Scaling theory of entanglement entropy in confinements near quantum critical points
• Viability of competing field theories for the driven lattice gas
• Dynamical Ginzburg criterion for the quantum-classical crossover of the Kibble-Zurek mechanism
• Critical Behavior of the Two-Dimensional Randomly Driven Lattice Gas
• Short-time Behaviour and Criticality of Driven Lattice Gases
• Renormalized Field Theory of Infinitely Driven Lattice Gases
• On the universal Gaussian behavior of Driven Lattice Gases at short-times

Cited by in corpus (8)

• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• Universal properties of repulsive self-propelled particles and attractive driven particles
• Self-similarity breaking: Anomalous nonequilibrium finite-size scaling and finite-time scaling
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Theory of Critical Phenomena with Long-Range Temporal Interaction
• Theory of Critical Phenomena with Memory
• Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry