4 papers
On the parametric dependences of a class of non-linear singular maps
T. Gilbert, J. R. Dorfman
We discuss a two-parameter family of maps that generalize piecewise linear, expanding maps of the circle. One parameter measures the effect of a non-linearity which bends the branc…
A Note on the Ruelle Pressure for a Dilute Disordered Sinai Billiard
Henk van Beijeren, J. R. Dorfman
The topological pressure is evaluated for a dilute random Lorentz gas, in the approximation that takes into account only uncorrelated collisions between the moving particle and fix…
Long-time-tail Effects on Lyapunov Exponents of a Random, Two-dimensional Field-driven Lorentz Gas
D. Panja, J. R. Dorfman, Henk van Beijeren
We study the Lyapunov exponents for a moving, charged particle in a two-dimensional Lorentz gas with randomly placed, non-overlapping hard disk scatterers placed in a thermostatted…
Kinetic Theory of Dynamical Systems
R. van Zon, H. van Beijeren, J. R. Dorfman
It is generally believed that the dynamics of simple fluids can be considered to be chaotic, at least to the extent that they can be modeled as classical systems of particles inter…