Abstract
Nonlocal generalization of classical statistical mechanics is proposed by using the general fractional calculus in the Luchko form. Some basic concepts of nonlocal statistical mechanics in Liouville picture are suggested. Nonlocal analogs of the standard law of probability conservation are suggested in integral and differential forms. Nonlocality is described by the pairs of Sonin kernels that belong to the Luchko set. Examples of solutions of general fractional Liouville equations are proposed for power-law nonlocality in phase space. The introduction gives a brief overview of some approaches to the description of nonlocal statistical mechanics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.