Density of topological defects after a quench

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We present results of numerical studies of the Landau-Ginzburg dynamics of the order parameter in one-dimensional models inspired by the condensed matter analogues of cosmological phase transitions. The main goal of our work is to show that, as proposed by one of us, the density of the frozen-out topological defects is set by the competition between the quench rate - the rate at which the phase transition is taking place - and the relaxation rate of the order parameter. In other words, the characteristic domain size, which determines the typical separation of topological defects in the new broken symmetry phase, ... continued below

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20 p.

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Laguna, P. & Zurek, W.H. May 13, 1997.

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  • Laguna, P. Pennsylvania State Univ., University Park, PA (United States)
  • Zurek, W.H. Los Alamos National Lab., NM (United States)

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Description

We present results of numerical studies of the Landau-Ginzburg dynamics of the order parameter in one-dimensional models inspired by the condensed matter analogues of cosmological phase transitions. The main goal of our work is to show that, as proposed by one of us, the density of the frozen-out topological defects is set by the competition between the quench rate - the rate at which the phase transition is taking place - and the relaxation rate of the order parameter. In other words, the characteristic domain size, which determines the typical separation of topological defects in the new broken symmetry phase, is of the order of the correlation length at the instant at which the relaxation timescale of the order parameter equals the time remaining to the phase transition. In estimating the size of topological domains, this scenario shares with the original Kibble mechanism the idea that topological defects will form along the boundaries of independently selected regions of the new broken symmetry vacuum. However, it derives the size of such domains from non-equilibrium aspects of the transition (quench rate), as opposed to Kibble`s original proposal in which their size was estimated from the Ginzburg temperature above which thermally activated symmetry restoration can occur.

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20 p.

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OSTI as DE97008157

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  • 2. Mexican School in gravitation and mathematical physics, Tlaxcala (Mexico), 1-7 Dec 1996

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  • Other: DE97008157
  • Report No.: LA-UR--97-1884
  • Report No.: CONF-961286--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 524865
  • Archival Resource Key: ark:/67531/metadc691480

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  • May 13, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • June 27, 2016, 12:40 p.m.

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Laguna, P. & Zurek, W.H. Density of topological defects after a quench, article, May 13, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc691480/: accessed July 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.