Abstract
We study numerically and analytically the properties of the stationary state of a particle moving under the influence of an electric field E in a two dimensional periodic Lorentz gas with the energy kept constant by a Gaussian thermostat. Numerically the current appears to be a continuous function of E whose derivative varies very irregularly, possibly in a discontinuous manner. We argue for the non differentiability of the current as a function of E utilizing a symbolic description of the dynamics based on the discontinuities of the collision map. The decay of correlations and the behavior of the diffusion constant are also investigated.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 35-60 |
| Number of pages | 26 |
| Journal | Journal of Statistical Physics |
| Volume | 101 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Oct 2000 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Keywords
- Regularity
- Smoothness
- Steady state current
- Symbolic dynamics
- Thermostatted Lorentz gas