Universal Properties of Nonlinear Response Functions of Nonequilibrium Steady States

Abstract

We derive universal properties of nonlinear response functions of nonequilibrium steady states. In particular, sum rules and asymptotic behaviors are derived. Their consequences are illustrated for nonlinear optical materials and nonlinear electrical conductors.

10 pages, 1 figure; added a few sentences and references to explain details

References in corpus (6)

• A nonequilibrium equality for free energy differences
• Fluctuation theorem for currents and Schnakenberg network theory
• Detection of Macroscopic Entanglement by Correlation of Local Observables
• Response Theory for Equilibrium and Non-Equilibrium Statistical Mechanics: Causality and Generalized Kramers-Kronig relations
• General properties of response functions of nonequilibrium steady states
• Indications of Universal Excess Fluctuations in Nonequilibrium Systems

Cited by in corpus (12)

• An update on nonequilibrium linear response
• Generalized $f$-Sum Rules and Kohn formulas on Non-linear Conductivities
• Quantum Quench and $f$-Sum Rules on Linear and Non-linear Conductivities
• On the general properties of non-linear optical conductivities
• Exact results for nonlinear Drude weights in the spin-1/2 XXZ chain
• Sum Rules and Asymptotic Behaviors for Optical Conductivity of Nonequilibrium Many-Electron Systems
• Sum rule for response function in nonequilibrium Langevin systems
• Macroscopic Quantum Violation of Fluctuation-Dissipation Theorem in Equilibrium
• Relevance of sampling schemes in light of Ruelle's linear response theory
• Drude weights in one-dimensional systems with a single defect
• Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs
• Nonequilibrium Molecular Dynamics Simulation of Interacting Many Electrons Scattered by Lattice Vibrations