Phys. Rev. Lett. 84, 5106 - 5109 (2000)

Integrable Structure of Interface Dynamics

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Mark Mineev-Weinstein
Theoretical Division, MS-B213, LANL, Los Alamos, New Mexico 87545

Paul B. Wiegmann
James Franck Institute and Enrico Fermi Institute of the University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637
and Landau Institute for Theoretical Physics, Moscow, Russia

Anton Zabrodin
Joint Institute of Chemical Physics, Kosygina Street 4, 117334, Moscow, Russia
and ITEP, 117259, Moscow, Russia

Received 10 January 2000

We establish the equivalence of 2D contour dynamics to the dispersionless limit of the integrable Toda hierarchy constrained by a string equation. Remarkably, the same hierarchy underlies 2D quantum gravity.


©2000 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v84/p5106
DOI: 10.1103/PhysRevLett.84.5106
PACS: 04.60.-m, 02.30.Dk, 68.10.-m, 68.70.+w

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