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We study the topology of fluid interfaces in the 3D Ising model in the rough phase. It turns out that such interfaces are accurately described as dilute gases of microscopic handles, and the stiffness of the interface increases with the…

Condensed Matter · Physics 2015-06-25 M. Caselle , F. Gliozzi , U. Magnea

Discretized landscapes can be mapped onto ranked surfaces, where every element (site or bond) has a unique rank associated with its corresponding relative height. By sequentially allocating these elements according to their ranks and…

Statistical Mechanics · Physics 2015-03-19 K. J. Schrenk , N. A. M. Araujo , J. S. Andrade , H. J. Herrmann

We propose the existence of a substantial charge current parallel to the interface between a noncentrosymmetric superconductor and a metallic ferromagnet. Our analysis focuses upon two complementary orbital-angular-momentum pairing states…

Superconductivity · Physics 2013-08-29 P. M. R. Brydon , Carsten Timm , Andreas P. Schnyder

We study the scaling properties of a one-dimensional interface at equilibrium, at finite temperature and in a disordered environment with a finite disorder correlation length. We focus our approach on the scalings of its geometrical…

Statistical Mechanics · Physics 2017-03-01 Elisabeth Agoritsas , Vivien Lecomte

Band-topology is traditionally analyzed in terms of gauge-invariant observables associated with crystalline Bloch wavefunctions. Recent work has demonstrated that many of the free fermion topological characteristics survive even in an…

Strongly Correlated Electrons · Physics 2023-01-20 Sunghoon Kim , Adhip Agarwala , Debanjan Chowdhury

We study the boundary effects in invasion percolation with and without trapping. We find that the presence of boundaries introduces a new set of surface critical exponents, as in the case of standard percolation. Numerical simulations show…

Condensed Matter · Physics 2009-10-31 A. Gabrielli , R. Cafiero , G. Caldarelli

We use a phase-separated driven two-dimensional Ising lattice gas to study fluid interfaces exposed to shear flow parallel to the interface. The interface is stabilized by two parallel walls with opposing surface fields and a driving field…

Statistical Mechanics · Physics 2009-11-13 Thomas H. R. Smith , Oleg Vasilyev , Douglas B. Abraham , Anna Maciołek , Matthias Schmidt

We model an infinitely long liquid bridge confined between two plates chemically patterned by stripes of same width and different contact angle, where the three-phase contact line runs, on average, perpendicular to the stripes. This allows…

We study interfaces in an Allen-Cahn equation, separating two metastable states. Our focus is on a directional quenching scenario, where a parameter renders the system bistable in a half plane and monostable in its complement, with the…

Analysis of PDEs · Mathematics 2019-07-10 Rafael Monteiro , Arnd Scheel

Phase transition in the two-dimensional $q$-state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of the infinite randomness fixed point of the random…

Statistical Mechanics · Physics 2007-05-23 J-Ch. Angles d'Auriac , F. Igloi

We continue to study a model of disordered interface growth in two dimensions. The interface is given by a height function on the sites of the one--dimensional integer lattice and grows in discrete time: (1) the height above the site $x$…

Probability · Mathematics 2007-05-23 Janko Gravner , Craig A. Tracy , Harold Widom

Thermal welding of polymer-polymer interfaces is important for integrating polymeric elements into devices. When two different polymers are joined, the strength of the weld depends critically on the degree of immiscibility. We perform…

Soft Condensed Matter · Physics 2013-10-16 Ting Ge , Gary S. Grest , Mark O. Robbins

We employ a functional renormalization group to study interfaces in the presence of a pinning potential in $d=4-\epsilon$ dimensions. In contrast to a previous approach [D.S. Fisher, Phys. Rev. Lett. {\bf 56}, 1964 (1986)] we use a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Stefan Scheidl , Yusuf Dincer

Proximity-induced magnetization (PIM) has broad implications across interface-driven spintronics applications employing spin-currents. We directly determine the scaling between PIM in Pt and the temperature-dependent interface magnetization…

Materials Science · Physics 2019-11-20 O. Inyang , L. Bouchenoire , B. Nicholson , M. Tokac , R. M. Rowan-Robinson , C. J. Kinane , A. T. Hindmarch

We analyze the ergodic properties of a metallic wavefunction for the Anderson model in a disordered random-regular graph with branching number $k=2.$ A few q-moments $I_q$ associated with the zero energy eigenvector are numerically computed…

Disordered Systems and Neural Networks · Physics 2024-04-10 Manuel Pino , Jose E. Roman

The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different…

Condensed Matter · Physics 2009-10-31 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

So far the problem of interface behavior upon phase transition has not yet acquired a satisfactory mathematical formulation due to a variety of the physical phenomena involved. Analytical solutions exist only for elementary problems…

Statistical Mechanics · Physics 2011-08-12 Alex Guskov

We discuss recently generated high-temperature series expansions for the free energy and the susceptibility of random-bond q-state Potts models on hypercubic lattices. Using the star-graph expansion technique quenched disorder averages can…

Statistical Mechanics · Physics 2007-05-23 Meik Hellmund , Wolfhard Janke

We consider heterostructures obtained by stacking layers of two s-wave superconductors with significantly different coupling strengths, respectively in the weak- and strong-coupling regimes. The weak- and strong-coupling superconductors are…

Superconductivity · Physics 2021-03-31 Giacomo Mazza , Adriano Amaricci , Massimo Capone

The dynamics of an interface between the normal and superconducting phases under nonstationary external conditions is studied within the framework of the time-dependent Ginzburg-Landau equations of superconductivity, modified to include…

Condensed Matter · Physics 2009-10-22 Alan T. Dorsey
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