The Lee-Yang theory of equilibrium and nonequilibrium phase transitions

Abstract

We present a pedagogical account of the Lee-Yang theory of equilibrium phase transitions and review recent advances in applying this theory to nonequilibrium systems. Through both general considerations and explicit studies of specific models, we show that the Lee-Yang approach can be used to locate and classify phase transitions in nonequilibrium steady states.

24 pages, 7 papers, invited paper for special issue of The Brazilian Journal of Physics

Cited by in corpus (58)

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• Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
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• Experimental Determination of Dynamical Lee-Yang Zeros
• Exact anomalous current fluctuations in a deterministic interacting model
• Information Geometry of Complex Hamiltonians and Exceptional Points
• Exact spectral solution of two interacting run-and-tumble particles on a ring lattice
• Mixed order transition and condensation in exactly soluble one dimensional spin model
• Determination of dynamical quantum phase transitions in strongly correlated many-body systems using Loschmidt cumulants
• Lee-Yang zeros and large-deviation statistics of a molecular zipper
• Order and symmetry-breaking in the fluctuations of driven systems
• Sampling rare events across dynamical phase transitions
• Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
• Exact Partition Function Zeros of the Wako-Saito-Muñoz-Eaton Protein Model
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Determination of universal critical exponents using Lee-Yang theory
• Universal anomalous fluctuations in charged single-file systems
• Disorder and non-conservation in a driven diffusive system
• Trajectory phase transitions in non-interacting spin systems
• Matrix Product States of Three Families of One-Dimensional Interacting Particle Systems
• Lee-Yang zeros and two-time spin correlation function
• Dyck Paths, Motzkin Paths and Traffic Jams
• Lee-Yang zeros in lattice QCD for searching phase transition points
• Properties of Higher-Order Phase Transitions
• Lee-Yang theory of criticality in interacting quantum many-body systems
• Lee-Yang theory of the two-dimensional quantum Ising model
• The totally asymmetric exclusion process on a ring: Exact relaxation dynamics and associated model of clustering transition
• Exact Shock Profile for the ASEP with Sublattice-Parallel Update
• Analytic Partition Function Zeros of the Wako-Saito-Munoz-Eaton beta-hairpin Model
• Equivalent T-Q relations and exact results for the open TASEP
• On characterizing the Quantum Geometry underlying Asymptotic Safety
• The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk
• An introduction to phase transitions in stochastic dynamical systems
• Low temperature behavior of finite-size one-dimensional Ising model and the partition function zeros
• The freezing phase transition in hard core lattice gases on triangular lattice with exclusion up to seventh next-nearest neighbor
• Renyi entropy of the totally asymmetric exclusion process
• Classification of Dark Solitons via Topological Vector Potentials
• Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?
• Nonequilibrium phase transition in a single-electron micromaser
• Lee-Yang theory of quantum phase transitions with neural network quantum states
• Yang-Lee Zeros of the Yang-Lee Model
• Lee-Yang theory of the superradiant phase transition in the open Dicke model
• Numerical Study of Phase Transition in an Exclusion Model with Parallel Dynamics
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Imaginary-Temperature Zeros for Quantum Phase Transitions
• On Statistical Mechanics Developments of Clan Concept in Multiparticle Production
• Bose-Einstein condensation and a two-dimensional walk model
• Exact Solution of a Reaction-Diffusion Model with Particle Number Conservation
• Shock in a Branching-Coalescing Model with Reflecting Boundaries
• Partition function zeros of zeta-urns
• Condensation of Lee-Yang zeros in scalar field theory
• Lee-Yang formalism for phase transitions of interacting fermions using tensor networks
• Phase diagram of the Wako-Saito-Munoz-Eaton beta-hairpin Model obtained with partition function zeros
• Zeros of partition function for Continuous Phase Transitions using cumulants
• Yang-Lee zeros for real-space condensation
• Partition Function Zeros of Paths and Normalization Zeros of ASEPS
• Dynamical quantum phase transitions in strongly correlated two-dimensional spin lattices following a quench