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We present a model for the formation of relativistic global vortices (strings) at a quench, and calculate their density and correlations. The significance of these results to early universe and condensed-matter physics is discussed. In…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Karra , R. J. Rivers

We present a model for the formation of relativistic vortices (strings) at a quench, and calculate their density and correlations. The significance of these to early universe and condensed-matter physics is discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. J. Rivers

We examine string (vortex) formation at a quench for a weakly-coupled global U(1) theory when the excitation spectrum is non-relativistic. It is so similar to vortex production in the corresponding relativistic plasma as to reinforce…

High Energy Physics - Phenomenology · Physics 2008-02-03 T. S. Evans , A. J. Gill , R. J. Rivers

We examine string (vortex) formation at a quench for a weakly-coupled global U(1) theory when the excitation spectrum is non-relativistic. It is so similar to vortex production in the corresponding relativistic plasma as to reinforce…

High Energy Physics - Phenomenology · Physics 2008-02-03 R. J. Rivers

Kibble and Zurek have provided a unifying causal picture for the appearance of topological defects like cosmic strings or vortices at the onset of phase transitions in relativistic QFT and condensed matter systems respectively. There is no…

Condensed Matter · Physics 2007-05-23 R. J. Rivers , E. Kavoussanaki , G. Karra

An exact analytic solution for the dynamics of vortex pairs is obtained for rapid temperature quenches of a superfluid film starting from the line of critical points below the critical temperature $T_{KT}$. An approximate solution for…

Statistical Mechanics · Physics 2013-11-11 Andrew Forrester , Han-Ching Chu , Gary A. Williams

Zurek suggested [Nature 317 (1985) 505] that the Kibble mechanism, through which topological defects such as cosmic strings are believed to have been created in the early Universe, can also result in the formation of topological defects in…

Soft Condensed Matter · Physics 2007-05-23 M. E. Dodd , P. C. Hendry , N. S. Lawson , P. V. E. McClintock , C. D. H. Williams

We have imaged spontaneously created arrays of vortices (magnetic flux quanta), generated in a superconducting film quenched through its transition temperature at rates around $10^9 K/s$. Spontaneous appearance of vortices is predicted by…

Superconductivity · Physics 2009-12-01 Daniel Golubchik , Emil Polturak , Gad Koren

Density of vortices and monopoles after a rapid pressure quench is predicted. Critical exponents are worked out in overdamped and underdamped limits.

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

We examine the Zurek scenario for the production of vortices in quenches of liquid $^{4}He$ in the light of recent experiments. Extending our previous results to later times, we argue that short wavelength thermal fluctuations make vortices…

Condensed Matter · Physics 2009-10-31 R. J. Rivers

Motivated by the study of cosmological phase transitions, our understanding of the formation of topological defects during spontaneous symmetry-breaking and the associated non-equilibrium field theory has recently changed. Experiments have…

Condensed Matter · Physics 2009-10-28 A. J. Gill , T. W. B. Kibble

This paper addresses the problem of vortex formation during a rapid quench in a superconducting film. It builds on previous work showing that in a local gauge theory there are two distinct mechanisms of defect formation, based on…

Condensed Matter · Physics 2007-05-23 T. W. B. Kibble , A. Rajantie

A full quantum description of global vortex strings is presented in the framework of a pure Higgs system with a broken global U(1) symmetry in 3+1D. An explicit expression for the string creation operator is obtained, both in terms of the…

High Energy Physics - Theory · Physics 2009-10-31 H. Fort , E. Marino

We report the first large scale numerical study of the dynamics of the second order phase transition of a U(1) $\lambda \phi^4$ theory in three spatial dimensions. The transition is induced by a time-dependent temperature drop in the heat…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nuno D. Antunes , Luis M. A. Bettencourt , Wojciech H. Zurek

We estimate the amount of vorticity generated at second order in cosmological perturbation theory from the coupling between first order energy density and non-adiabatic pressure, or entropy, perturbations. Assuming power law input spectra…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-24 Adam J. Christopherson , Karim A. Malik , David R. Matravers

A fundamental hypothesis for the interpretation of the measured large-scale line-of-sight peculiar velocities of galaxies is that the large-scale cosmic flows are irrotational. In order to assess the validity of this assumption, we…

Astrophysics · Physics 2009-09-25 C. Pichon , F. Bernardeau

Production of Bloch waves during a rapid quench is studied by analytical and numerical methods. The density of Bloch waves decays exponentially with the quench time. It also strongly depends on temperature. Very few textures are produced…

Condensed Matter · Physics 2009-10-31 Jacek Dziarmaga

The formation of topological defects during continuous phase transitions exhibits nonequilibrium universality. While the Kibble-Zurek mechanism (KZM) predicts universal scaling of point-like defect numbers under slow driving, the…

High Energy Physics - Theory · Physics 2026-02-02 Chuan-Yin Xia , András Grabarits , Hua-Bi Zeng , Adolfo del Campo

A new experiment has been performed to study the formation of topological defects (quantized vortices) during rapid quenches of liquid 4He through the superfluid transition, with particular care taken to minimise vortex creation via…

Soft Condensed Matter · Physics 2009-10-31 M. E. Dodd , P. C. Hendry , N. S. Lawson , P. V. E. McClintock , C. D. H. Williams

Symmetry breaking phase transitions from less to more ordered phases will typically produce topological defects in the ordered phase. Kibble-Zurek theory predicts that for any second-order phase transition, such as the early universe, the…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Alexander J. Shook , Daksh Malhotra , Aymar Muhikira , Vaisakh Vadakkumbatt , John P. Davis
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