6 papers
On some common misconceptions regarding the "Ergodic Hierarchy"
Henk van Beijeren
The well-known ergodic hierarchy of sheerly ergodic, mixing, Kolmogorov and Bernoulli systems, with each next level supposedly encompassing the previous one, is shown to be too sim…
Nucleation times in the 2D Ising model
K. Brendel, G. T. Barkema, H. van Beijeren
A theoretical framework is presented for the estimation of nucleation times in systems with Brownian type dynamics. This framework is applied to a prototype system: the two-dimensi…
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 Estimates for the Kolmogorov-Sinai Entropy and the Largest Lyapunov Exponents for Dilute, Hard-Ball Gases and for Dilute, Random Lorentz Gases
H. van Beijeren, R. van Zon, J. R. Dorfman
The kinetic theory of gases provides methods for calculating Lyapunov exponents and other quantities, such as Kolmogorov-Sinai entropies, that characterize the chaotic behavior of…
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…