Hydrodynamics for one-dimensional identical elastic hard rods

C. Boldrighini

Physica A: Statistical Mechanics and its Applications, 1984, vol. 124, issue 1, 115-125

Abstract: Some recent results are reported, by which the general idea of the hydrodynamic limit is made into a rigorous proof for the case of an infinite system of one-dimensional elastic hard rods. A law of large numbers for particle trajectories on a macroscopic scale is proved, and, as a consequence, the “Euler equation” for the system is deduced. In addition an existence and uniqueness theorem for the equation is given.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:124:y:1984:i:1:p:115-125

DOI: 10.1016/0378-4371(84)90231-0

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