98 citations · 537 across the 20 of their papers we have counts for
20 papers
Ergodicity of non-Hamiltonian equilibrium systems
Denis J. Evans, Stephen R. Williams, Lamberto Rondoni +1
It is well known that ergodic theory can be used to formally prove a weak form of relaxation to equilibrium for finite, mixing, Hamiltonian systems. In this Letter we extend this p…
On the relaxation to nonequilibrium steady states
Denis J. Evans, Stephen R. Williams, Debra J. Searles +1
The issue of relaxation has been addressed in terms of ergodic theory in the past. However, the application of that theory to models of physical interest is problematic, especially…
Viscoelastic Properties of Crystals
Stephen R. Williams, Denis J. Evans
We examine the question of whether fluids and crystals are differentiated on the basis of their zero frequency shear moduli or their limiting zero frequency shear viscosity. We sho…
Dissipation and the Relaxation to Equilibrium
Denis J. Evans, Debra J. Searles, Stephen R. Williams
Using the recently derived Dissipation Theorem and a corollary of the Transient Fluctuation Theorem (TFT), namely the Second Law Inequality, we derive the unique time independent,…
The Glass Transition and the Jarzynski Equality
Stephen R. Williams, Debra J. Searles, Denis J. Evans
A simple model featuring a double well potential is used to represent a liquid that is quenched from an ergodic state into a history dependent glassy state. Issues surrounding the…
Statistical Mechanics of Time Independent Non-Dissipative Nonequilibrium States
Stephen R. Williams, Denis J. Evans
We examine the question of whether the formal expressions of equilibrium statistical mechanics can be applied to time independent non-dissipative systems that are not in true therm…