Abstract
Generalizing a trick used previously for one- and two-particle systems we obtain closed expressions for the positions and velocities of the hard rods as functions of time and the initial conditions. Using the corresponding solution of Liouville’s equation we show which ensembles can be used to calculate time averages and discuss the conditions under which an expectation value tends toward a stationary value. We also calculate the pair distribution function for almost all stationary distributions and the pressure, defined as the time average of the force exerted onto a specified particle by its left neighbor, for three kinds of stationary ensembles (smallest stationary, microcanonical, and canonical).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
