AI Article Synopsis
- The self-similar Lorentz billiard channel is a complex system made up of an infinite sequence of cells that grow larger as their index increases, creating a unique spatial structure.
- Particles consistently move from smaller to larger cells, establishing a steady flow, which results in a nonequilibrium stationary state.
- Numerical analysis shows that the rate of phase-space contraction in this system aligns with the entropy production rate, linking it to thermodynamic principles in near-equilibrium conditions.
Article Abstract
The self-similar Lorentz billiard channel is a spatially extended deterministic dynamical system which consists of an infinite one-dimensional sequence of cells whose sizes increase monotonically according to their indices. This special geometry induces a nonequilibrium stationary state with particles flowing steadily from the small to the large scales. The corresponding invariant measure has fractal properties reflected by the phase-space contraction rate of the dynamics restricted to a single cell with appropriate boundary conditions. In the near-equilibrium limit, we find numerical agreement between this quantity and the entropy production rate as specified by thermodynamics.
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| http://dx.doi.org/10.1103/PhysRevLett.98.130601 | DOI Listing |
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