Time reversibility in nonequilibrium thermomechanics

@article{Hoover1998TimeRI,
  title={Time reversibility in nonequilibrium thermomechanics},
  author={Wm. G. Hoover},
  journal={Physica D: Nonlinear Phenomena},
  year={1998},
  volume={112},
  pages={225-240}
}
  • W. Hoover
  • Published 15 January 1998
  • Physics
  • Physica D: Nonlinear Phenomena
View via Publisher
williamhoover.info
12 Citations
Highly Influential Citations
1
Background Citations
4
Methods Citations
1

Figures from this paper

12 Citations

Numerical irreversibility in time-reversible molecular dynamics simulation

Links between microscopic and macroscopic fluid mechanics

The microscopic and macroscopic versions of fluid mechanics differ qualitatively. Microscopic particles obey time-reversible ordinary differential equations. The resulting particle trajectories…

Field and density dependence of the Lyapunov spectrum for the driven random Lorentz gas

Liouville's theorems, Gibbs' entropy, and multifractal distributions for nonequilibrium steady states

Liouville’s best-known theorem, ḟ({q,p},t)=0, describes the incompressible flow of phase-space probability density, f({q,p},t). This incompressible-flow theorem follows directly from Hamilton’s…

Noise-driven numerical irreversibility in molecular dynamics technique

Energy conservation in molecular dynamics simulations of classical systems.

Simulations show that inclusion of the first non-trivial term in this expansion of the time step length reduces the standard deviation of the energy fluctuations by a factor of 100 and analytically and numerically shows that energy conservation is not sensitive to round-off errors.

Nosé–Hoover nonequilibrium dynamics and statistical mechanics

At equilibrium Nosé's 1984 revolutionary thermostat idea linked Newton's mechanics with Gibbs' statistical mechanics. His work expanded the scope of isothermal and isobaric simulations. Nosé–Hoover…

Time-reversal symmetry in dynamical systems: a survey

Numerical irreversibility in self-gravitating small N-body systems, II: Influence of instability affected by softening parameters

D-Stability of the Initial Value Problem for Symmetric Nonlinear Functional Differential Equations

The conditions of the symmetric property of the unique solution of symmetric functional differential equations, an illustration of a particular symmetric equation, are shown.

42 References

Resolution of Loschmidt's paradox: The origin of irreversible behavior in reversible atomistic dynamics.

Nosromane-bar mechanics provides a link between computer simulations of nonequilibrium processes and real-world experiments and shows that irreversible behavior consistent with the second law of thermodynamics arises from completely reversible microscopic motion.

Stationary nonequilibrium ensembles for thermostated systems.

  • RondoniMorriss
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1996
The Kawasaki distribution function formalism, which is based on the Liouville equation, is shown to give a good description of the transient and the stationary behavior of proposed measures for chaotic dynamical systems, with particular reference to thermostated nonequilibrium systems.

Dissipative Irreversibility from Nosé's Reversible Mechanics

Abstract Nose's Hamiltonian mechanics makes possible the efficient simulation of irreversible flows of mass, momentum and energy. Such flows illustrate the paradox that reversible microscopic…

Computational Statistical Mechanics

The concept of irreversibility in the kinetic theory of gases

Abstract We present here a discussion of the concepts of “reversibility” and “irreversibility” of an evolution. In section 1, several reversibility concepts and the notion of an H-functional are…

Time-reversible continuum mechanics

Levesque and Verlet developed a time-reversible and “bit-reversible” computational leapfrog algorithm. Their algorithm uses integer arithmetic and is exactly time reversible to the last computational…

Transport coefficients and Lyapunov exponents

Hamiltonian formulation of the Gaussian isokinetic thermostat.

  • DettmannMorriss
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1996
The usual ~Lagrangian and Hamiltonian! descriptions of classical mechanics are formulated in terms of variational principles, which allow a compact representation of the system by a single function, simplify perturbation theory, and make a connection with quantum mechanics.

Molecular dynamics and time reversibility

We present a time-symmetrical integer arithmetic algorithm for numerical (molecular dynamics) simulations of classical fluids. This algorithm is used to illustrate, through concrete examples, that…

Time-reversible dissipative attractors in three and four phase-space dimensions

We establish the dissipative nature of several three- and four-dimensional time-reversible phase-space flows and study their ergodicity. Three- and four-dimensional generalizations of the equilibrium…