Thermal response of a Fermi-Pasta-Ulam chain with Andersen thermostats
arXiv:1706.06851 · doi:10.1140/epjb/e2017-80364-4
Abstract
The linear response to temperature variations is well characterised for equilibrium systems but a similar theory is not available, for example, for inertial heat conducting systems, whose paradigm is the Fermi-Pasta-Ulam (FPU) model driven by two different boundary temperatures. For models of inertial systems out of equilibrium, including relaxing systems, we show that Andersen thermostats are a natural tool for studying the thermal response. We derive a fluctuation-response relation that allows to predict thermal expansion coefficients or the heat capacitance in nonequilibrium regimes. Simulations of the FPU chain of oscillators suggest that estimates of susceptibilities obtained with our relation are better than those obtained via a small perturbation.
References in corpus (30)
- Thermal conduction in classical low-dimensional lattices
- Heat Transport in low-dimensional systems
- 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
- Space-time Thermodynamics of the Glass Transition
- An update on nonequilibrium linear response
- Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
- Fluctuation dissipation ratio in an aging Lennard-Jones glass
- Chaotic properties of systems with Markov dynamics
- Fluctuation relations in simple examples of non-equilibrium steady states
- Nonequilibrium Linear Response for Markov Dynamics, II: Inertial Dynamics
- The fluctuation-dissipation relation: how does one compare correlation functions and responses?
- Fluctuation-dissipation relations far from equilibrium
- Heat capacity in nonequilibrium steady states
- Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
- Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
- Activated aging dynamics and negative fluctuation-dissipation ratios
- Effects of breaking vibrational energy equipartition on measurements of temperature in macroscopic oscillators subject to heat flux
- Generalized fluctuation-dissipation relation and effective temperature in off-equilibrium colloids
- Dynamical phase transitions in supercooled liquids: interpreting measurements of dynamical activity
- Fluctuation Relations for Diffusions Thermally Driven by a Non-Stationnary Bath
- Nonequilibrium temperature response for stochastic overdamped systems
- Low thermal fluctuations in a system heated out of equilibrium
- A general fluctuation-response relation for noise variations and its application to driven hydrodynamic experiments
- A fluctuation-response relation of many Brownian particles under non-equilibrium conditions
- Thermal response of nonequilibrium RC-circuits
- Temperature response in nonequilibrium stochastic systems
- Thermal response in driven diffusive systems
- Linear response of hydrodynamically-coupled particles under a nonequilibrium reservoir