Chaos, fractional kinetics, and anomalous transport

GM Zaslavsky - Physics reports, 2002 - Elsevier
Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

Two‐dimensional microcavity lasers

T Harayama, S Shinohara - Laser & Photonics Reviews, 2011 - Wiley Online Library
Advances in processing technology, such as quantum‐well structures and dry‐etching
techniques, have made it possible to create new types of two‐dimensional (2D) microcavity …

[LIBRO][B] Large scale dynamics of interacting particles

H Spohn - 2012 - books.google.com
This book deals with one of the fundamental problems of nonequilibrium statistical
mechanics: the explanation of large-scale dynamics (evolution differential equations) from …

[LIBRO][B] Hamiltonian chaos and fractional dynamics

GM Zaslavsky - 2005 - books.google.com
The dynamics of realistic Hamiltonian systems has unusual microscopic features that are
direct consequences of its fractional space-time structure and its phase space topology. The …

Chaos, scattering and statistical mechanics

P Gaspard - Chaos, 2005 - ui.adsabs.harvard.edu
Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …

Transport properties, Lyapunov exponents, and entropy per unit time

P Gaspard, G Nicolis - Physical review letters, 1990 - APS
For dynamical systems of large spatial extension giving rise to transport phenomena, like the
Lorentz gas, we establish a relationship between the transport coefficient and the difference …

Diffusion in a periodic Lorentz gas

B Moran, WG Hoover, S Bestiale - Journal of Statistical Physics, 1987 - Springer
We use a constant “driving force” F d together with a Gaussian thermostatting “constraint
force” F d to simulate a nonequilibrium steady-state current (particle velocity) in a periodic …

Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon

PM Bleher - Journal of Statistical Physics, 1992 - Springer
We study the asymptotic statistical behavior of the 2-dimensional periodic Lorentz gas with
an infinite horizon. We consider a particle moving freely in the plane with elastic reflections …

[LIBRO][B] Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics

R Klages - 2007 - books.google.com
A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

General self-similar solutions of diffusion equation and related constructions

IF Barna, L Mátyás - arxiv preprint arxiv:2104.09128, 2021 - arxiv.org
Transport phenomena plays an important role in science and technology. In the wide variety
of applications both advection and diffusion may appear. Regarding diffusion, for long times …