Time-reversal and parity-time symmetry breaking in non-Hermitian field theories.

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with conserved dynamics, comprising the mesoscopic descriptions of a wide range of nonequilibrium phenomena. They exhibit continuous parity-time (PT) symmetry-breaking phase transitions to dynamical phases. For two concrete transition scenarios, exclusive to non-Hermitian dynamics, namely, oscillatory instabilities and critical exceptional points, a low-noise expansion exposes a pretransitional surge of the mesoscale (informatic) entropy production rate, inside the static phases. Its scaling in the susceptibility contrasts conventional critical points (such as second-order phase transitions), where the susceptibility also diverges, but the entropy production generally remains finite. The difference can be attributed to active fluctuations in the wavelengths that become unstable. For critical exceptional points, we identify the coupling of eigenmodes as the entropy-generating mechanism, causing a drastic noise amplification in the Goldstone mode.

• Publication year

  2023

• Venue

  Physical Review E

• Publication date

  2023-12-01

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/physreve.108.064123PMID 38243548
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Irreversible Mesoscale Fluctuations Herald the Emergence of Dynamical Phases.

  2023cited by this paper
• Nonreciprocal Cahn-Hilliard Model Emerges as a Universal Amplitude Equation.

  2023cited by this paper
• Nonreciprocal interactions give rise to fast cilium synchronization in finite systems

  2023cited by this paper
• Entropy production in the nonreciprocal Cahn-Hilliard model.

  2023cited by this paper
• Irreversibility across a Nonreciprocal PT-Symmetry-Breaking Phase Transition.

  2023cited by this paper
• Long-Range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions.

  2022cited by this paper
• Non-reciprocity induces resonances in a two-field Cahn–Hilliard model

  2022cited by this paper
• Landau theory for finite-time dynamical phase transitions

  2022cited by this paper
• Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions.

  2021cited by this paper
• Symmetry-breaking, motion and bistability of active drops through polarization-surface coupling.

  2021cited by this paper
• Scaling of the entropy production rate in a φ^{4} model of active matter.

  2021cited by this paper
• Current fluctuations in nonequilibrium discontinuous phase transitions.

  2021cited by this paper
• Non-reciprocal phase transitions

  2021cited by this paper
• Nonreciprocity as a generic route to traveling states

  2020cited by this paper
• Irreversibility, heat and information flows induced by non-reciprocal interactions

  2020cited by this paper
• Two-dimensional localized states in an active phase-field-crystal model.

  2020cited by this paper
• Localized states in coupled Cahn–Hilliard equations

  2020cited by this paper
• Entropy production at criticality in a nonequilibrium Potts model

  2020cited by this paper
• Steady state entropy production rate for scalar Langevin field theories

  2020cited by this paper
• Reconfigurable emergent patterns in active chiral fluids

  2020cited by this paper
• Traveling and standing waves mediate pattern formation in cellular protrusions

  2020cited by this paper
• Time-reversal symmetry violations and entropy production in field theories of polar active matter

  2020cited by this paper
• Entropy production fluctuations encode collective behavior in active matter.

  2020cited by this paper
• Non-Hermitian physics

  2020cited by this paper
• Stealth Entropy Production in Active Field Theories near Ising Critical Points.

  2020cited by this paper
• Wave-number selection in pattern-forming systems.

  2019cited by this paper
• Bifurcation and criticality

  2019cited by this paper
• Cell-sized confinement controls generation and stability of a protein wave for spatiotemporal regulation in cells

  2019cited by this paper
• Irreversibility in dynamical phases and transitions

  2019cited by this paper
• Hydrodynamic theory of active matter

  2018cited by this paper
• Physics of active emulsions

  2018cited by this paper
• Synthetic Chemotaxis and Collective Behavior in Active Matter.

  2018cited by this paper
• Entropy production as a tool for characterizing nonequilibrium phase transitions.

  2018cited by this paper
• Quantum Noise Theory of Exceptional Point Amplifying Sensors.

  2018cited by this paper
• Nonequilibrium dynamics of mixtures of active and passive colloidal particles

  2017cited by this paper
• A microscopic field theoretical approach for active systems

  2016cited by this paper
• Giant Amplification of Noise in Fluctuation-Induced Pattern Formation.

  2016cited by this paper
• Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid.

  2015cited by this paper
• Pattern formation in the FitzHugh-Nagumo model

  2015cited by this paper
• An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns

  2014cited by this paper
• Scalar φ4 field theory for active-particle phase separation

  2013cited by this paper
• Traveling and resting crystals in active systems.

  2012cited by this paper
• Entropy production in non-equilibrium fluctuating hydrodynamics.

  2012cited by this paper
• Continuous theory of active matter systems with metric-free interactions.

  2012cited by this paper
• Entropy production in nonequilibrium systems at stationary states.

  2012cited by this paper
• A functional extension of the Ito formula

  2010cited by this paper
• Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems.

  2007cited by this paper
• Entropy production along a stochastic trajectory and an integral fluctuation theorem.

  2005cited by this paper
• Alternative mechanisms of structuring biomembranes: self-assembly versus self-organization.

  2005cited by this paper
• Traveling waves in phase-separating reactive mixtures.

  2003cited by this paper
• Phase-separation dynamics of a ternary mixture coupled with reversible chemical reaction

  2002cited by this paper
• Nonequilibrium fluctuations, traveling waves, and instabilities in active membranes.

  1999cited by this paper
• Pattern formation arising from wave instability in a simple reaction‐diffusion system

  1995cited by this paper
• Parity breaking bifurcation in inhomogeneous systems.

  1995cited by this paper
• Variance maintained by stochastic forcing of non-normal dynamical systems associated with linearly stable shear flows.

  1994cited by this paper
• Spatially uniform traveling cellular patterns at a driven interface.

  1994cited by this paper
• Successive bifurcations in directional viscous fingering.

  1993cited by this paper
• Complex Analysis and Applications

  1991cited by this paper
• Hydrodynamic and interfacial patterns with broken space-time symmetry.

  1991cited by this paper
• Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics

  1991cited by this paper
• Dynamical regimes of directional viscous fingering: Spatiotemporal chaos and wave propagation.

  1990cited by this paper
• Traveling waves in nonequilibrium systems

  1989cited by this paper
• Parity-breaking transitions of modulated patterns in hydrodynamic systems.

  1989cited by this paper
• The Takens-Bogdanov bifurcation with O(2)-symmetry

  1987cited by this paper
• Higher-order bifurcations in distributed kinetic systems with aperiodic instability

  1984cited by this paper

• Spectral Insights into Active Matter: Exceptional Points and the Mathieu Equation

  2026cites this paper
• Local entropy production rate of run-and-tumble particles.

  2025cites this paper
• Entropy production in non-reciprocal polar active mixtures

  2025cites this paper
• Flocking with random non-reciprocal interactions

  2025cites this paper
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields

  2025cites this paper
• Active pattern formation emergent from single-species nonreciprocity

  2024cites this paper
• Photoinduced non-reciprocal magnetism

  2024cites this paper
• An amplitude equation for the conserved-Hopf bifurcation-Derivation, analysis, and assessment.

  2024cites this paper
• Nonreciprocal Interactions Reshape Topological Defect Annihilation.

  2024cites this paper
• Dynamical patterns and nonreciprocal effective interactions in an active-passive mixture through exact hydrodynamic analysis

  2024cites this paper
• Dynamical phase transitions in the nonreciprocal Ising model.

  2024cites this paper
• Nonreciprocal Alignment Induces Asymmetric Clustering in Active Mixtures.

  2024cites this paper
• Irreversible Mesoscale Fluctuations Herald the Emergence of Dynamical Phases.

  2023cites this paper
• Irreversibility across a Nonreciprocal PT-Symmetry-Breaking Phase Transition.

  2023cites this paper
• Entropy production in the nonreciprocal Cahn-Hilliard model.

  2023cites this paper
• Non-reciprocal alignment induces asymmetric clustering in active repulsive mixtures

  year unknowncites this paper