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We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid $^4$He, using the vortex filament model. We investigate the effects of solid boundaries along one of the Cartesian…

Fluid Dynamics · Physics 2015-03-10 Andrew W. Baggaley , Jason Laurie

A systematic calculation of magnetization and specific heat contributions due to fluctuations of vortex lattice in strongly type II superconductors to precision of 1% is presented. We complete the calculation of the two loop low temperature…

Superconductivity · Physics 2009-11-07 Dingping Li , Baruch Rosenstein

The gauge glass model offers an interesting example of a randomly frustrated system with a continuous O(2) symmetry. In two dimensions, the existence of a glass phase at low temperatures has long been disputed among numerical studies. To…

Disordered Systems and Neural Networks · Physics 2015-05-14 Lei-Han Tang

The dynamics of two dimensional (2D) vortex fluctuations are investigated through simulations of the 2D Coulomb gas model in which vortices are represented by soft disks with logarithmic interactions. The simulations trongly support a…

supr-con · Physics 2009-10-28 Kenneth Holmlund , Petter Minnhagen

We use Monte Carlo simulations to map out the phase diagram of the two dimensional Coulomb gas on a square lattice, as a function of density and temperature. We find that the Kosterlitz-Thouless transition remains up to higher charge…

Condensed Matter · Physics 2009-10-28 Pramod Gupta , S. Teitel

Evidence for the existence of a second finite-temperature transition in quantum chromodynamics (QCD) is obtained through the study of centre vortex geometry and its evolution with temperature. The dynamical anisotropic ensembles of the…

High Energy Physics - Lattice · Physics 2025-02-25 Jackson A. Mickley , Chris Allton , Ryan Bignell , Derek B. Leinweber

The Navier-Stokes-Fourier model for a 3D thermoconducting viscous fluid, where the evolution equation for the temperature T contains a term proportional to the rate of energy dissipation, is investigated analitically at the light of the…

Fluid Dynamics · Physics 2009-11-07 V. Grassi , R. A. Leo , G. Soliani , P. Tempesta

A numerical study of the neutral two-dimensional (2D) lattice Coulomb gas is performed to examine dynamic scaling, finite size effects, and the dynamic critical exponent $z$ of the Kosterlitz-Thouless-Berezinskii transition. By studying…

Superconductivity · Physics 2007-05-23 Louis Colonna-Romano , Stephen W. Pierson , Mark Friesen

The distribution of thermally excited vortex loops near a superfluid phase transition is calculated from a renormalized theory. The number density of loops with a given perimeter is found to change from exponential decay with increasing…

Statistical Mechanics · Physics 2009-10-31 Gary A. Williams

Very recently quasi two-dimensional (2D) systems made of attractive fermionic alkali-metal atoms with a widely tunable interaction due to Fano-Feshbach resonances have been realized. In this way it has been achieved the 2D crossover from…

Quantum Gases · Physics 2016-12-13 L. Salasnich , G. Bighin

The Landau-Ginzburg-Wilson hamiltonian is studied for different values of the parameter $\lambda$ which multiplies the quartic term (it turns out that this is equivalent to consider different values of the coherence length $\xi$ in units of…

Superconductivity · Physics 2009-10-31 G. Alvarez , H. Fort

Fluctuations are an intrinsic feature of many-body systems, and their full statistical distributions reveal a wealth of information about the underlying physics. Of particular interest are non-Gaussian, extreme-value statistics that arise…

Quantum Gases · Physics 2026-01-23 Abel Beregi , En Chang , Erik Rydow , Christopher J. Foot , Shinichi Sunami

Two-dimensional XY models with resistively shunted junction (RSJ) dynamics and time dependent Ginzburg-Landau (TDGL) dynamics are simulated and it is verified that the vortex response is well described by the Minnhagen phenomenology for…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Petter Minnhagen , Peter Olsson

A convenient method to create vortices in meta-stable vortex-free superflow of 3He-B is to irradiate with thermal neutrons. The vortices are then formed in a rapid non-equilibrium process with very distinctive characteristics. Two models…

Soft Condensed Matter · Physics 2009-11-10 A. P. Finne , S. Boldarev , V. B. Eltsov , M. Krusius

The classical XY model has been consistently studied since it was introduced more than six decades ago. Of particular interest has been the two-dimensional spin model's exhibition of the Berezinskii-Kosterlitz-Thouless (BKT) transition.…

Computational Physics · Physics 2024-12-16 Brandon Willnecker , Mervlyn Moodley

Vortex-loop renormalization is used to compute the specific heat of superfluid $^4$He near the lambda point at various pressures up to 26 bars. The input parameters are the the pressure dependence of T$_\lambda$ and the superfluid density,…

Statistical Mechanics · Physics 2020-04-27 Andrew Forrester , Gary A. Williams

We derive thermal QCD sum rules for the correlation function of two vector currents in the rho-meson channel. It takes into account the leading non-perturbative corrections from the additional operators, which appear due to the breakdown of…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Mallik , Krishnendu Mukherjee

The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within $[-r\pi, r\pi]$ ($0 \leq r \leq 1$), is studied via Monte Carlo simulations. We investigate the phase…

Superconductivity · Physics 2007-05-23 Petter Holme , Petter Minnhagen , Beom Jun Kim

We study a class of radially symmetric Coulomb gas ensembles at inverse temperature $\beta=2$, for which the droplet consists of a number of concentric annuli, having at least one bounded ``gap'' $G$, i.e., a connected component of the…

Mathematical Physics · Physics 2025-09-03 Yacin Ameur , Christophe Charlier , Joakim Cronvall

We study a recent generalization proposed for the XY model in two and three dimensions. Using both, the continuum limit and discrete lattice, we obtained the vortex configuration and shown that out-of-plane vortex solutions are deeply…

Strongly Correlated Electrons · Physics 2015-06-24 L. A. S. Mól , A. R. Pereira , Winder A. Moura-Melo