Dynamic renormalization of discrete hydrodynamics

P.B. Visscher

Physica A: Statistical Mechanics and its Applications, 1979, vol. 97, issue 2, 410-424

Abstract: A general prescription for dynamic renormalization has been found for discrete hydrodynamics (giving equations of motion for large-cell variables from those for smaller cells). The renormalization transformation is calculated explicitly, and found to consist of purely algebraic relations among a set of parameters which describe (arbitrarily accurately) the equations of motion. The discrete theory is therefore substantially easier to renormalize than continuum theories. The small-scale parameters have previously been calculated numerically for a soft-sphere model; it is therefore now possible to calculate transport coefficients by renormalization. Preliminary results indicate this method is substantially more efficient than earlier (Green-Kubo) methods.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:97:y:1979:i:2:p:410-424

DOI: 10.1016/0378-4371(79)90115-8

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