Non-equilibrium dynamics of topological defects in the 3d O(2) model

López-Contreras, Edgar; Castellanos, Jaime Fabián Nieto; Polanco-Euán, Elías Natanael; Bietenholz, Wolfgang

doi:10.22323/1.453.0346

Non-equilibrium dynamics of topological defects in the 3d O(2) model

Nov 21, 2023

7 pages

Published in:

PoS LATTICE2023 (2024) 346

Contribution to:

- Lattice 2023
, 346
,
- Lattice 2023

Published: Dec 27, 2023

e-Print:

2311.13074 [hep-lat]

DOI:

10.22323/1.453.0346

View in:

ADS Abstract Service

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Abstract: (SISSA)

We present a study of the 3d O(2) non-linear

\sigma

-model on the lattice, which exhibits topologicaldefects in the form of vortices. They tend to organize into vortex lines that bear close analogieswith global cosmic strings. Therefore, this model serves as a testbed for studying the dynamicsof topological defects. It undergoes a second order phase transition, hence it is appropriatefor investigating the Kibble-Zurek mechanism. In this regard, we explore the persistence oftopological defects when the temperature is rapidly reduced from above to below the criticaltemperature; this cooling (or “quenching”) process takes the system out of equilibrium. We probea wide range of inverse cooling rates

\tau_\mathrm{Q}

and final temperatures, employing distinct Monte Carloalgorithms. The results consistently show that the density of persisting topological defects followsa power-law in

\tau_\mathrm{Q}

, in agreement with Zurek’s conjecture. On the other hand, at this point ourresults do not confirm Zurek’s prediction for the exponent in this power-law, but its final test isstill under investigation.

Note:

7 pages, LaTex, 3 figures, talk presented at the 40th International Symposium on Lattice Field Theory (Lattice 2023), July 31st - August 4th, 2023, Fermi National Accelerator Laboratory

defect: topological
cosmic string: global
critical phenomena
temperature
vortex
O(2)
nonlinear
density
lattice
quenching

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