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Updated: Aug 24, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Thermodynamic formalism for field-driven Lorentz gases
Oliver Mülken1, Henk van Beijeren
1Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands. oliver.muelken@physik.uni-freiburg.de
Abstract:
We analytically determine the dynamical properties of two-dimensional field-driven Lorentz gases within the thermodynamic formalism. For dilute gases subjected to an isokinetic thermostat, we calculate the topological pressure as a function of a temperaturelike parameter beta up to second order in the strength of the applied field. The Kolmogorov-Sinai entropy and the topological entropy can be extracted from a dynamical entropy defined as a Legendre transform of the topological pressure. Our calculations of the Kolmogorov-Sinai entropy exactly agree with previous calculations based on a Lorentz-Boltzmann equation approach. We give analytic results for the topological entropy and calculate the dimension spectrum from the dynamical entropy function.
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