Mathematics – Logic
Scientific paper
Apr 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aps..apr..i706l&link_type=abstract
American Physical Society, APS/AAPT Joint April Meeting, April 18-21, 1998 Columbus, Ohio, abstract #I7.06
Mathematics
Logic
Scientific paper
Symmetry-breaking phase transitions may leave behind topological defects with a density dependent on the quench rate. We present results from a numerical study of the dynamics of such quenches for the one-dimensional, Landau-Ginzburg case. We show that the density of kinks, n, scales differently with the quench timescale, τ_Q, depending on whether the dynamics in the vicinity of the critical point is overdamped (n ∝ τ_Q-1/4) or underdamped (n ∝ τ_Q-1/3). Either of these cases may be relevant to the formation of topological defects from cosmological phase transitions in the early Universe.
Laguna Pablo
Zurek Wojciech
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