Calculation of effective Hamiltonians for renormalized or non-Hamiltonian systems

被引:6
作者
Ron, D [1 ]
Swendsen, RH
机构
[1] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israel
[2] Carnegie Mellon Univ, Dept Phys, Pittsburgh, PA 15213 USA
来源
PHYSICAL REVIEW E | 2001年 / 63卷 / 06期
关键词
Brandt Ron representation - Coupling constants - Gupta Cordery methods - Hamiltonian system - Non Hamiltonian system - Renormalization group transformations - Thermal equilibrium;
D O I
10.1103/PhysRevE.63.066128
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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 dass 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.
引用
收藏
页码:066128/1 / 066128/7
页数:7
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