Coalescence and Droplets in the Subcritical Nonlinear Schrödinger Equation

Christophe Josserand and Sergio Rica
Phys. Rev. Lett. 78, 1215 – Published 17 February 1997
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Abstract

We describe here the coalescence and formation of droplets, in a Hamiltonian kinetics of a first order phase transition. In the process of coalescence, the typical linear size of single phase domains grows as a power of time. The density correlation function follows the usual self-similar dynamic scaling. For different initial conditions, we observe the nucleation and dynamics of stable pulses. The stability of such pulses in one dimension is also computed. Both results may be relevant to superfluid He4 cavitation or for filamentation in nonlinear optics and for the recent evidence of Bose-Einstein condensation in Li7.

  • Received 20 May 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.1215

©1997 American Physical Society

Authors & Affiliations

Christophe Josserand and Sergio Rica

  • Laboratoire ASCI, UPR 9029 CNRS, Bâtiment 506, 91405 Orsay Cedex, France and LPS, URA 1306 CNRS, Ecole Normale Supérieure, 24 Rue Lhomond, 75231 Paris Cedex 05, France

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Vol. 78, Iss. 7 — 17 February 1997

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