Frenetic aspects of second order response
arXiv:1410.7450 · doi:10.1039/C4CP04977B
Abstract
Starting from second order around thermal equilibrium, the response of a statistical mechanical system to an external stimulus is not only governed by dissipation and depends explicitly on dynamical details of the system. The so called frenetic contribution in second order around equilibrium is illustrated in different physical examples, such as for non-thermodynamic aspects in the coupling between system and reservoir, for the dependence on disorder in dielectric response and for the nonlinear correction to the Sutherland--Einstein relation. More generally, the way in which a system's dynamical activity changes by the pertubation is visible (only) from nonlinear response.
arXiv comment32 pages, 6 figures
References in corpus (25)
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Microswimmers in Patterned Environments
- Active Brownian Motion Tunable by Light
- First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
- Fluctuations and response of nonequilibrium states
- Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
- The Einstein relation generalized to non-equilibrium
- Aging, rejuvenation and memory : the example of spin glasses
- Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem
- Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
- Space-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems
- Nonlinear response and fluctuation dissipation relations
- Nonequilibrium Linear Response for Markov Dynamics, II: Inertial Dynamics
- A meaningful expansion around detailed balance
- The frenetic origin of negative differential response
- Nonlinear response theory for Markov processes: Simple models for glassy relaxation
- Time-Reversal and Entropy
- Rigorous meaning of McLennan ensembles
- Fluctuation-response relations for nonequilibrium diffusions with memory
- The modified Sutherland--Einstein relation for diffusive nonequilibria
- Beyond the linear Fluctuation-Dissipation Theorem: the Role of Causality
- Second order viscous corrections to the harmonic spectrum in heavy ion collisions
- Symmetries of the ratchet current
- Nonlinear electromagnetic response of a uniform electron gas
- Nonequilibrium fluctuation dissipation relations of interacting Brownian particles driven by shear
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- Temperature in and out of equilibrium: a review of concepts, tools and attempts
- Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
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- Frenesy: time-symmetric dynamical activity in nonequilibria
- Response theory: a trajectory-based approach
- Active matter under control: Insights from response theory
- Nonlinear response and emerging nonequilibrium micro-structures for biased diffusion in confined crowding environments
- On the Fluctuation-Dissipation Relation in non-equilibrium and non-Hamiltonian systems
- The modified Langevin description for probes in a nonlinear medium
- Nonequilibrium Response and Frenesy
- Nonlinear transport coefficients from large deviation functions
- Response of active Brownian particles to shear flow
- Scalable Information Inequalities for Uncertainty Quantification
- How statistical forces depend on thermodynamics and kinetics of driven media
- Response theory for nonequilibrium steady-states of open quantum systems
- Anomalous mobility of a driven active particle in a steady laminar flow
- Statistical forces from close--to--equilibrium media
- Living on the edge of instability
- Extrapolation to nonequilibrium from coarse grained response theory
- Measurement of second-order response without perturbation
- An ordered set of power-efficiency trade-offs
- Nonequilibrium corrections to gradient flow
- The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium
- Midpoint distribution of directed polymers in the stationary regime: exact result through linear response
- Observation of Nonlinear Response and Onsager Regression in a Photon Bose-Einstein Condensate
- A Thermodynamic Non-Linear Response Relation
- Brownian systems perturbed by mild shear: Comparing response relations
- On the kinetics that moves Myosin V
- What decides the direction of a current?
- Using the fluctuation-dissipation theorem for nonconservative forces
- Spatially resolved atomic-scale friction: Theory and Simulation
- Series expansion of the excess work using nonlinear response theory
- Coarse-grained Second Order Response Theory
- A note on symmetries in the path integral formulation of the Langevin dynamics
- Nonlinear Langevin functionals for a driven probe
- Nonlinear Response Relations and Fluctuation-Response Inequalities for Nonequilibrium Stochastic Systems
- Stochastic Two-temperature Nonequilibrium Ising model