127 citations · 1.1k across the 72 of their papers we have counts for
9 papers · 1 filter
Symmetry, chaos and temperature in the one-dimensional lattice theory
Kenichiro Aoki
The symmetries of the minimal theory on the lattice are systematically analyzed. We find that symmetry can restrict trajectories to subspaces, while their motions are still c…
Stable and unstable periodic orbits in the one dimensional lattice theory
Kenichiro Aoki
Periodic orbits for the classical theory on the one dimensional lattice are systematically constructed by extending the normal modes of the harmonic theory, for periodic, fix…
Some thermal transport properties of the FPU model with quadratic pinning
Kenichiro Aoki
Thermal transport properties of the FPU model with a quadratic pinning term are investigated for various couplings and temperatures. In particular, the size dependence of the t…
Violations of local equilibrium and stochastic thermostats
Kenichiro Aoki
We quantitatively investigate the violations of local equilibrium in the theory under thermal gradients, using stochastic thermostats. We find that the deviations from local…
Spatial Distributions of Observables in Systems under Thermal Gradients
Kenichiro Aoki Dimitri Kusnezov
Departures of observables from their thermal equilibrium expectation values are studied under heat flow in steady-state non-equilibrium environments. The relation between the spati…
Non-Equilibrium Statistical Mechanics of Classical and Quantum Systems
Dimitri Kusnezov, Eric Lutz, Kenichiro Aoki
We study the statistical mechanics of classical and quantum systems in non-equilibrium steady states. Emphasis is placed on systems in strong thermal gradients. Various measures an…
Lyapunov Exponents, Transport and the Extensivity of Dimensional Loss
Kenichiro Aoki, Dimitri Kusnezov
An explicit relation between the dimensional loss (), entropy production and transport is established under thermal gradients, relating the microscopic and macroscopic behavior…
On the Violations of Local Equilibrium and Linear Response
Kenichiro Aoki, Dimitri Kusnezov
We study how local equilibrium, and linear response predictions of transport coefficients are violated as systems move far from equilibrium. This is done by studying heat flow in c…
FPU model: Boundary Jumps, Fourier's Law and Scaling
Kenichiro Aoki, Dimitri Kusnezov
We examine the interplay of surface and volume effects in systems undergoing heat flow. In particular, we compute the thermal conductivity in the FPU model as a function of tem…