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The invaded cluster approach is extended to 2D Potts model with annealed vacancies by using the random-cluster representation. Geometrical arguments are used to propose the algorithm which converges to the tricritical point in the…

Statistical Mechanics · Physics 2011-11-09 Ivan Balog , Katarina Uzelac

Quantized magnetic vortices driven by electric current determine key electromagnetic properties of superconductors. While the dynamic behavior of slow vortices has been thoroughly investigated, the physics of ultrafast vortices under strong…

The main purpose of this work is to simulate two-phase flow in the form of immiscible displacement through anisotropic, three-dimensional (3D) discrete fracture networks (DFN). The considered DFNs are artificially generated, based on a…

Statistical Mechanics · Physics 2012-05-15 Salomon J. Wettstein , Falk K. Wittel , Nuno A. M. Araujo , Bill Lanyon , Hans J. Herrmann

We show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact…

Statistical Mechanics · Physics 2009-11-13 T. Bodineau , B. Derrida , J. Lebowitz

Flux penetration into type-II superconducing films is simulated for transverse applied magnetic field and flux creep dynamics. The films contain macroscopic, non-conducting holes and we suggest a new method to introduce the holes in the…

Superconductivity · Physics 2009-11-13 J. I. Vestgarden , D. V. Shantsev , Y. M. Galperin , T. H. Johansen

We study the fluctuations of the integrated density current across the origin up to time $T$ in a lattice model of active particles with hard-core interactions. This model is amenable to an exact description within a fluctuating…

Statistical Mechanics · Physics 2024-02-27 Stephy Jose , Rahul Dandekar , Kabir Ramola

We investigate the stabilization mechanisms of the invasion front in two-dimensional drainage displacement in porous media by using a network simulator. We focus on the process when the front stabilizes due to the viscous forces in the…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

The dynamical properties of the invasion percolation on the square lattice are investigated with emphasis on the geometrical properties on the growing cluster of infected sites. The exterior frontier of this cluster forms a critical loop…

Statistical Mechanics · Physics 2020-12-02 S. Tizdast , N. Ahadpour , M. N. Najafi , Z. Ebadi , H. Mohamadzadeh

Substantial control of the interlayer spacing in Bi-based high temperature superconductors has been achieved through the intercalation of guest molecules between the superconducting layers. Measurements using implanted muons reveal that the…

Superconductivity · Physics 2009-03-11 P. J. Baker , T. Lancaster , S. J. Blundell , F. L. Pratt , M. L. Brooks , S. -J. Kwon

We investigate clogging in depth filtration, in which a dirty fluid is ``cleaned'' by the trapping of dirt particles within the pore space during flow through a porous medium. This leads to a gradient percolation process which exhibits a…

Statistical Mechanics · Physics 2009-10-31 S. Datta , S. Redner

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracture-matrix approach. The…

Numerical Analysis · Mathematics 2024-03-13 Jan Stebel , Jakub Kružík , David Horák , Jan Březina , Michal Béreš

In multiband superconductors, each superconducting condensate supports vortices with fractional quantum flux. In the ground state, vortices in different bands are spatially bounded together to form a composite vortex, carrying one quantum…

Superconductivity · Physics 2013-02-22 Shi-Zeng Lin , Lev N. Bulaevskii

In the present work, we investigate a model of the invasion of healthy tissue by cancer cells which is described by a system of nonlinear PDEs consisting of a cross-diffusion-reaction equation and two additional nonlinear ordinary…

Numerical Analysis · Mathematics 2023-07-18 Shahin Heydari , Petr Knobloch , Thoma Wick

Conventional superconductors have vortices carrying integer multiples of magnetic flux quantum while unconventional ones, with p- or d-wave order parameter, allow half-integer fluxes. Here we show that mesoscopic size effects stabilize…

Superconductivity · Physics 2011-07-18 L. F. Chibotaru , V. H. Dao

In this paper the amorphous/solid to disorder liquid structural phase transitions of an anomalous confined fluid is analyzed using their local fractal dimension. The model is a system of particles interacting through a two length scales…

Soft Condensed Matter · Physics 2016-02-17 Elsa M. de la Calleja-Mora , Leandro B. Krott , Marcia C. Barbosa

We investigate the process of invasion percolation between two sites (injection and extraction sites) separated by a distance r in two-dimensional lattices of size L. Our results for the non-trapping invasion percolation model indicate that…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. D. Araujo , T. F. Vasconcelos , A. A. Moreira , L. S. Lucena , J. S. Andrade

We study numerically the motion of vortices in dirty type II superconductors. In two dimensions at strong driving currents, vortices form highly correlated ``static channels''. The static structure factor exhibits convincing scaling…

Condensed Matter · Physics 2007-05-23 Kyungsun Moon , Richard T. Scalettar , Gergely T. Zimanyi

The superfluid to insulator quantum phase transition of a three-dimensional particle-hole symmetric system of disordered bosons is studied. To this end, a site-diluted quantum rotor Hamiltonian is mapped onto a classical (3+1)-dimensional…

Quantum Gases · Physics 2018-10-25 Jack Crewse , Cameron Lerch , Thomas Vojta

We study experimentally the dynamics of a dense intruder sinking under gravity inside a vibrated 2D granular packing. The surrounding flow patterns are characterized and the falling trajectories are interpreted in terms of an effectivive…

Soft Condensed Matter · Physics 2015-05-28 Rim Harich , Thierry Darnige , Evelyne Kolb , Eric Clément

Particle segregation is common in natural and industrial processes involving flowing granular materials. Complex, and seemingly contradictory, segregation phenomena have been observed for different boundary conditions and forcing. Using…

Soft Condensed Matter · Physics 2021-09-08 Lu Jing , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar