Discrepancy between the H-Function and Entropy: Insights into the rigorously established Boltzmann equation for hard-sphere gases
Li-Xiang Cen
Abstract
By investigating the origin of the evolutionary discrepancy between the H-function and entropy, we elucidate that the H-function fails to serve as a valid arrow-of-time criterion in the rigorously derived Boltzmann equation for the hard-sphere gas model under the Boltzmann-Grad limit.
Create a lesson
Related papers
Hierarchy of time scales in kinetically constrained models via stochastic-generator expansion
Vanja Marić, Juan P. Garrahan, Lenart Zadnik
Current fluctuations of diffusive systems with a battery
Thibaut Jonckheere, Bernard Derrida
A first introduction to Matrix Product State algorithms for the integration of Lindblad equation
Christophe Chatelain
Recent progress on thermal transport in one-dimensional long-range interacting Fermi-Pasta-Ulam-Tsingou lattice systems
Daxing Xiong, Nianbei Li, Jie Chen
Exact Nonlinear Active Microrheology in Diffusive Single-File Systems
Aurélien Grabsch, Olivier Bénichou
Logarithmic singularity in a dynamical quantum phase transition for free fermions
Yasser Bezzaz, Dimitri M. Gangardt, Pavel L. Krapivsky et al.