478 citations · 1.5k across the 23 of their papers we have counts for
23 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…
The nature of the glass and gel transitions in sticky spheres
C. Patrick Royall, Stephen R. Williams, Hajime Tanaka
Glasses and gels are the two dynamically arrested, disordered states of matter. Despite their importance, their similarities and differences remain elusive, especially at high dens…
Liquid-liquid phase transition in an atomistic model glass former
Thomas Speck, C. Patrick Royall, Stephen R. Williams
Whether the glass transition is caused by an underlying singularity or is a purely kinetic phenomenon is a significant outstanding question. Studying an atomistic glass former, we…
The role of local structure in dynamical arrest
C. Patrick Royall, Stephen R. Williams
Amorphous solids, or glasses, are distinguished from crystalline solids by their lack of long-range structural order. At the level of two-body structural correlations, glassformers…
Identification of structure in condensed matter with the topological cluster classification
Alex Malins, Stephen R. Williams, Jens Eggers +1
We describe the topological cluster classification (TCC) algorithm. The TCC detects local structures with bond topologies similar to isolated clusters which minimise the potential…