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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Bibliographische Detailangaben
Veröffentlicht in:	Journal of statistical mechanics 2023-10, Vol.2023 (10), p.103202
Hauptverfasser:	Loutsenko, I M, Spiridonov, V P, Yermolayeva, O V
Format:	Artikel
Sprache:	eng
Schlagworte:	classical integrability matrix models solvable lattice models
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Beschreibung
Zusammenfassung:	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.
ISSN:	1742-5468 1742-5468
DOI:	10.1088/1742-5468/ad002f