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Title: Integrable Structure of Interface Dynamics

Abstract

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. (c) 2000 The American Physical Society.

Authors:
; ;
Publication Date:
OSTI Identifier:
20216614
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 22; Other Information: PBD: 29 May 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; INTERFACES; GROWTH; QUANTUM GRAVITY; THEORETICAL DATA

Citation Formats

Mineev-Weinstein, Mark, Wiegmann, Paul B., and Zabrodin, Anton. Integrable Structure of Interface Dynamics. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.5106.
Mineev-Weinstein, Mark, Wiegmann, Paul B., & Zabrodin, Anton. Integrable Structure of Interface Dynamics. United States. doi:10.1103/PhysRevLett.84.5106.
Mineev-Weinstein, Mark, Wiegmann, Paul B., and Zabrodin, Anton. Mon . "Integrable Structure of Interface Dynamics". United States. doi:10.1103/PhysRevLett.84.5106.
@article{osti_20216614,
title = {Integrable Structure of Interface Dynamics},
author = {Mineev-Weinstein, Mark and Wiegmann, Paul B. and Zabrodin, Anton},
abstractNote = {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. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.5106},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 22,
volume = 84,
place = {United States},
year = {2000},
month = {5}
}