Solitons and normal random matrices
We discuss a general relation between the solitons and statistical mechanics and show that the partition function of the normal random matrix model can be obtained from the multi-soliton solutions of the two-dimensional Toda lattice hierarchy in a special limit.
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Veröffentlicht in: | Journal of statistical mechanics 2023-10, Vol.2023 (10), p.103202 |
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container_issue | 10 |
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container_title | Journal of statistical mechanics |
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creator | Loutsenko, I M Spiridonov, V P Yermolayeva, O V |
description | We discuss a general relation between the solitons and statistical mechanics and show that the partition function of the normal random matrix model can be obtained from the multi-soliton solutions of the two-dimensional Toda lattice hierarchy in a special limit. |
doi_str_mv | 10.1088/1742-5468/ad002f |
format | Article |
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subjects | classical integrability matrix models solvable lattice models |
title | Solitons and normal random matrices |
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