Calculation of effective Hamiltonians for renormalized or non-Hamiltonian systems

Dorit Ron and Robert H. Swendsen
Phys. Rev. E 63, 066128 – Published 25 May 2001
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Abstract

We develop a method for calculating renormalized Hamiltonians based on the Brandt-Ron representation of renormalization-group transformations. Our approach allows us to make a stable calculation for larger sets of renormalized coupling constants than either the Swendsen or the Gupta-Cordery methods, thus reducing the effects of truncation in renormalization-group calculations. The generality of the Brandt-Ron representation also makes it suitable for analyzing a broader class of models including driven diffusive systems. Another advantage of our approach is that it contains internal criteria that provide information on the error involved in truncation approximations.

  • Received 30 January 2001

DOI:https://doi.org/10.1103/PhysRevE.63.066128

©2001 American Physical Society

Authors & Affiliations

Dorit Ron

  • Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel

Robert H. Swendsen

  • Physics Department, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213

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Vol. 63, Iss. 6 — June 2001

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