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Dynamics and Thermodynamics of a system with multiple length scales

Published online by Cambridge University Press:  01 February 2011

Stefano Curtarolo and
Gerbrand Ceder
Stefano Curtarolo
Affiliation:
Department of Materials Science and Engineering, MIT, Cambridge, MA 02139
Gerbrand Ceder
Affiliation:
Department of Materials Science and Engineering, MIT, Cambridge, MA 02139Center for Materials Science and Engineering, MIT, Cambridge, MA 02139
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Abstract

Descriptions, in which matter can be coarse grained to arbitrary levels, are necessary to study materials phenomenal simultaneously at various length scales. Attempts to do this in the static regime have already been developed. In this work, we present an approach that leads to dynamics for such coarse-grained models. Renormalization group theory is used to create new local potentials between nodes. Assuming that these potentials give an averaged description of node dynamics, we calculate thermal, mechanical and transport properties. If this method can be sufficiently generalized it may form the basis of a Molecular Dynamics method with time and spatial coarse-graining.

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