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We study the percolation behavior of two interdependent scale-free (SF) networks under random failure of 1-$p$ fraction of nodes. Our results are based on numerical solutions of analytical expressions and simulations. We find that as the…

数据分析、统计与概率 · 物理学 2013-05-30 Di Zhou , Jianxi Gao , H. Eugene Stanley , Shlomo Havlin

We consider numerically the depinning transition in the random-field Ising model. Our analysis reveals that the three and four dimensional model displays a simple scaling behavior whereas the five dimensional scaling behavior is affected by…

统计力学 · 物理学 2007-05-23 L. Roters , S. Lubeck , K. D. Usadel

We consider the critical behavior at an interface which separates two semi-infinite subsystems belonging to different universality classes, thus having different set of critical exponents, but having a common transition temperature. We…

统计力学 · 物理学 2007-05-23 F. A. Bagamery , L. Turban , F. Igloi

We study the interface representation of the contact process (CP) at its directed-percolation critical point, where the scaling properties of the interface can be related to those of the original particle model. Interestingly, such a…

统计力学 · 物理学 2024-09-30 B. G. Barreales , J. J. Meléndez , R. Cuerno , J. J. Ruiz-Lorenzo

We define a four-state Potts model ensemble on the square lattice, with the constraints that neighboring spins must have different values, and that no plaquette may contain all four states. The spin configurations may be mapped into those…

统计力学 · 物理学 2012-08-27 J. K. Burton, , C. L. Henley

We consider the dynamics and kinetic roughening of interfaces embedded in uniformly random media near percolation treshold. In particular, we study simple discrete ``forest fire'' lattice models through Monte Carlo simulations in two and…

统计力学 · 物理学 2009-10-31 M. -P. Kuittu , M. Haataja , N. Provatas , T. Ala-Nissila

We study proximity effects at ferromagnet superconductor interfaces by self-consistent numerical solution of the Bogoliubov-de Gennes equations for the continuum, without any approximations. Our procedures allow us to study systems with…

超导电性 · 物理学 2009-11-07 Klaus Halterman , Oriol T. Valls

We study numerically the coarsening kinetics of a two-dimensional ferromagnetic system with aleatory bond dilution. We show that interfaces between domains of opposite magnetisation are fractal on every lengthscale, but with different…

统计力学 · 物理学 2019-05-30 Federico Corberi , Leticia F. Cugliandolo , Ferdinando Insalata , Marco Picco

Based on extensive simulations, we conjecture that critically pinned interfaces in 2-dimensional isotropic random media with short range correlations are always in the universality class of ordinary percolation. Thus, in contrast to…

无序系统与神经网络 · 物理学 2018-05-23 P. Grassberger

We study the non-equilibrium evolution of coexisting ferromagnetic domains in the two-dimensional quantum Ising model -- a setup relevant in several contexts, from quantum nucleation dynamics and false-vacuum decay scenarios to recent…

We consider the equilibrium statistical properties of interfaces submitted to competing interactions; a long-range repulsive Coulomb interaction inherent to the charged interface and a short-range, anisotropic, attractive one due to either…

统计力学 · 物理学 2009-11-07 Sofian Teber

We study conditioned random-cluster measures with edge-parameter p and cluster-weighting factor q satisfying q \ge 1. The conditioning corresponds to mixed boundary conditions for a spin model. Interfaces may be defined in the sense of…

概率论 · 数学 2007-05-23 Guy Gielis , Geoffrey Grimmett

We analyze the microscopic, topological structure of the interface between domains of opposite magnetization in 3D Ising model near the critical point. This interface exhibits a fractal behaviour with a high density of handles. The mean…

高能物理 - 理论 · 物理学 2009-09-25 M. Caselle , F. Gliozzi , S. Vinti

We consider near-critical two-dimensional statistical systems at phase coexistence on the half plane with boundary conditions leading to the formation of a droplet separating coexisting phases. General low-energy properties of…

统计力学 · 物理学 2022-12-02 Alessio Squarcini , Antonio Tinti

In a recent paper [Phys. Rev. Lett. 129, 120601] we have shown that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking. In this…

This work quantifies the effect of misfit and threading dislocations on the surface energies of PbTe-PbSe interfaces, with the defect structures of the interfaces being obtained from atomistic and multiscale simulations of their…

材料科学 · 物理学 2026-03-05 Emir Bilgili , Nicholas Taormina , Yang Li , Adrian Diaz , Simon R. Phillpot , Youping Chen

Interfaces between materials with differently ordered phases present unique opportunities to study fundamental problems in physics. One example is the interface between a singlet superconductor and a half-metallic ferromagnet, where Cooper…

超导电性 · 物理学 2011-09-22 M. Eschrig , T. Löfwander

The standard Poisson-Boltzmann model for molecular electrostatics assumes a sharp variation of the permittivity and salt concentration along the solute-solvent interface. The discontinuous field parameters are not only difficult…

化学物理 · 物理学 2026-04-20 Mauricio Guerrero-Montero , Michal Bosy , Christopher D. Cooper

The fractal dimension of excitations in glassy systems gives information on the critical dimension at which the droplet picture of spin glasses changes to a description based on replica symmetry breaking where the interfaces are space…

无序系统与神经网络 · 物理学 2017-09-11 Wenlong Wang , M. A. Moore , Helmut G. Katzgraber

A numerical study of the transfer across random fractal surfaces shows that their responses are very close to the response of deterministic model geometries with the same fractal dimension. The simulations of several interfaces with…

无序系统与神经网络 · 物理学 2009-10-31 M. Filoche , B. Sapoval