Physical review. E, Statistical, nonlinear, andâ€¦

2014

Infinite arrays of coupled two-state stochastic oscillators exhibit well-defined steady states. We study the fluctuations that occur when the number N of oscillators in the array is finite. We chooseâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2010

We implement a binary collision approximation to study pulse propagation in a chain of o-rings. In particular, we arrive at analytic results from which the pulse velocity is obtained by simpleâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2015

Granular systems present surprisingly complicated dynamics. In particular, nonlinear interactions and energy dissipation play important roles in these dynamics. Usually (but admittedly not always),â€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2014

We consider an array of units each of which can be in one of three states. Unidirectional transitions between these states are governed by Markovian rate processes. The interactions between unitsâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2009

We study heat conduction in one-dimensional granular gases. In particular, we consider two mechanisms of viscous dissipation during intergrain collisions. In one, the dissipative force isâ€¦ (More)

Kramers' rate for the passage of trajectories X(t) over an energy barrier due to thermal or other fluctuations is usually associated with additive noise. We present a generalization of Kramers' rateâ€¦ (More)

We study the role of the tail and the range of interaction in a spatially structured population of two-state on-off units governed by Markovian transition rates. The coupling among the oscillators isâ€¦ (More)