The noncommutative replica approach
Abstract
p-Adic and noncommutative analysis are applied to describe phase transitions in disordered systems. In the noncommutative replica approach we replicate the disorder instead of the system degrees of freedom. The noncommutatibe replica symmetry breaking is formulated using the language of noncommutative analysis. This allows to derive the ultrametric space of states which is postulated in the standard replica approach.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2001
- DOI:
- 10.48550/arXiv.cond-mat/0110238
- arXiv:
- arXiv:cond-mat/0110238
- Bibcode:
- 2001cond.mat.10238K
- Keywords:
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- Disordered Systems and Neural Networks
- E-Print:
- 19 pages, LaTeX 2.09, discussion added