Violations of local equilibrium and linear response in classical lattice theories

Abstract

We study the dynamics of ${\varphi }^4$ theory and the FPU $\beta$ model under thermal gradients, from first principles. We analyze quantitatively how local equilibrium and linear response are violated, paying special care to how we find observables that unambiguously display these violations. Relations between these quantities to equations of state are also examined. Further, we discuss how we can approach similar dynamical problems in continuum quantum field theory. We analyze how close we are to obtaining the continuum results.

7pp, 4figs, talk given by KA at "Thermal field theory and applications" workshop 2001

References in corpus (1)

• FPU $\beta$ model: Boundary Jumps, Fourier's Law and Scaling

Cited by in corpus (9)

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• Nonequilibrium Temperature and Thermometry in Heat-Conducting Phi-4 Models
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• Hamiltonian Thermostats Fail to Promote Heat Flow
• Hamiltonian Dynamics of Thermostated Systems: Two-Temperature Heat-Conducting phi-4 Chains
• Comment on "Logarithmic Oscillators: Ideal Hamiltonian Thermostats" [arXiv 1203.5968]
• Heat pump without particle transport or external work on the medium achieved by differential thermostatting of the phase space
• Violations of local equilibrium and stochastic thermostats
• Approximating the entire spectrum of nonequilibrium steady state distributions using relative entropy: An application to thermal conduction