Order and chaos in the one-dimensional ϕ4 model: N-dependence and the Second Law of Thermodynamics

  title={Order and chaos in the one-dimensional ϕ4 model: N-dependence and the Second Law of Thermodynamics},
  author={William Graham Hoover and Kenichiro Aoki},
  journal={Commun. Nonlinear Sci. Numer. Simul.},
  • W. G. HooverK. Aoki
  • Published 25 May 2016
  • Physics, Mathematics
  • Commun. Nonlinear Sci. Numer. Simul.
2 Citations

Figures from this paper

Projective-truncation-approximation study of the one-dimensional ϕ^{4} lattice model.

In this paper, we first develop the projective truncation approximation (PTA) in the Green's function equation of motion (EOM) formalism for classical statistical models. To implement PTA for a given

Thermal transport properties of one-dimensional Φ4 chains with colliding particles



Remarks on non-Hamiltonian statistical mechanics: Lyapunov exponents and phase-space dimensionality loss

The dissipation associated with nonequilibrium flow processes is reflected by the formation of strange attractor distributions in phase space. The information dimension of these attractors is less

Diffusion in a periodic Lorentz gas

We use a constant “driving force”Fd together with a Gaussian thermostatting “constraint force”Fd to simulate a nonequilibrium steady-state current (particle velocity) in a periodic, two-dimensional,

Lyapunov exponents and the extensivity of dimensional loss for systems in thermal gradients.

  • K. AokiD. Kusnezov
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
An explicit relation between the dimensional loss (DeltaD), entropy production, and transport is established under thermal gradients, relating the microscopic and macroscopic behaviors of the system.

Heat conduction in one-dimensional nonintegrable systems

  • HuLiZhao
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
Two classes of one-dimensional nonintegrable systems represented by the Fermi-Pasta-Ulam (FPU) model and the discrete straight phi(4) model are studied to seek a generic mechanism of energy transport

Simulation and control of chaotic nonequilibrium systems

Overview of Atomistic Mechanics Formulating Atomistic Simulations Thermodynamics, Statistical Mechanics, and Temperature Continuum Mechanics: Continuity, Stress, Heat Flux, Applications Numerical