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We seek the possibility of a disorder driven transition in a tight-binding lattice with a flat band using complexity parameter approach. Our results indicate the existence of a localized to extended states transition with increasing…

统计力学 · 物理学 2018-11-14 Pragya Shukla

We study the roughening transition of the dual of the 2D XY model, of the Discrete Gaussian model, of the Absolute Value Solid-On-Solid model and of the interface in an Ising model on a 3D simple cubic lattice. The investigation relies on a…

凝聚态物理 · 物理学 2008-11-26 M. Hasenbusch , K. Pinn

We study the roughening of $d$-dimensional directed elastic interfaces subject to quenched random forces. As in the Larkin model, random forces are considered constant in the displacement direction and uncorrelated in the perpendicular…

无序系统与神经网络 · 物理学 2019-03-07 V. H. Purrello , J. L. Iguain , A. B. Kolton

We study interfacial behavior of a lamellar (stripe) phase coexisting with a disordered phase. Systematic analytical expansions are obtained for the interfacial profile in the vicinity of a tricritical point. They are characterized by a…

软凝聚态物质 · 物理学 2009-10-31 Simon Villain-Guillot , David Andelman

The equilibrium and non--equilibrium disorder induced phase transitions are compared in the random-field Ising model (RFIM). We identify in the demagnetized state (DS) the correct non-equilibrium hysteretic counterpart of the T=0 ground…

统计力学 · 物理学 2009-11-10 F. Colaiori , M. J. Alava , G. Durin , A. Magni , S. Zapperi

We note that in a system far from equilibrium the interface roughening may depend on the system size which plays the role of control parameter. To detect the size effect on the interface roughness, we study the scaling properties of rough…

统计力学 · 物理学 2009-11-11 Alexander S. Balankin , Daniel Morales Matamoros

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $\zeta$. We show that at the depinning threshold, due to symmetry breaking caused by the direction of the…

统计力学 · 物理学 2022-10-20 Esko Toivonen , Matti Molkkari , Esa Räsänen , Lasse Laurson

We study the nonequilibrium phase transition in the two-dimensional contact process on a randomly diluted lattice by means of large-scale Monte-Carlo simulations for times up to $10^{10}$ and system sizes up to $8000 \times 8000$ sites. Our…

无序系统与神经网络 · 物理学 2009-01-13 Thomas Vojta , Adam Farquhar , Jason Mast

We study the decoherence dynamics of dipole-coupled two-level quantum systems in Ramsey-type experiments. We focus on large networks of two-level systems, confined to two spatial dimensions and with positional disorder giving rise to…

量子气体 · 物理学 2017-11-15 M. P. Kwasigroch , N. R. Cooper

We consider the dynamics and kinetic roughening of wetting fronts in the case of forced wetting driven by a constant mass flux into a 2D disordered medium. We employ a coarse-grained phase field model with local conservation of density,…

无序系统与神经网络 · 物理学 2009-11-11 T. Laurila , C. Tong , I. Huopaniemi , S. Majaniemi , T. Ala-Nissila

In ordinary solids, material disorder is known to increase the size of the process zone in which stress concentrates at the crack tip, causing a transition from localized to diffuse failure. Here, we report experiments on disordered 2D…

We propose a new picture of the renormalization group (RG) approach in the presence of disorder, which considers the RG trajectories of each random sample (realization) separately instead of the usual renormalization of the averaged free…

统计力学 · 物理学 2009-10-31 Karim Bernardet , Ferenc Pazmandi , G. G. Batrouni

In clean and weakly disordered systems, topological and trivial phases having a finite bulk energy gap can transit to each other via a quantum critical point. In presence of strong disorder, both the nature of the phases and the associated…

无序系统与神经网络 · 物理学 2025-06-26 Saikat Mondal , Adhip Agarwala

We investigate the localization transition for a simple model of interface which interacts with an inhomonegeous defect plane. The interface is modeled by the graph of a function $\phi: \mathbb Z^2 \to \mathbb Z$,and the disorder is given…

概率论 · 数学 2021-03-17 Hubert Lacoin

I show that non-equilibrium two-dimensional interfaces between three dimensional phase separated fluids exhibit a peculiar "sub-logarithmic" roughness. Specifically, an interface of lateral extent $L$ will fluctuate vertically (i.e., normal…

软凝聚态物质 · 物理学 2023-04-26 John Toner

The roughness properties of two-dimensional fracture surfaces as created by the slow failure of random fuse networks are considered and compared to yield surfaces of perfect plasticity with similar disorder. By studying systems up to a…

统计力学 · 物理学 2009-10-31 E. T. Seppala , V. I. Raisanen , M. J. Alava

The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either crack-like or pulse-like, with the latter involving…

软凝聚态物质 · 物理学 2024-03-06 Vineet Dawara , Koushik Viswanathan

The behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the two-loop approximation directly in three-dimensional space. The effect of the free boundary on the regime of the bulk…

统计力学 · 物理学 2009-11-13 S. V. Belim

We solve exactly a model of monodispersed rigid rods of length $k$ with repulsive interactions on the random locally tree like layered lattice. For $k\geq 4$ we show that with increasing density, the system undergoes two phase transitions:…

统计力学 · 物理学 2013-08-01 Joyjit Kundu , R. Rajesh

Conserved surface roughening represents a special case of interface dynamics where the total height of the interface is conserved. Recently, it was suggested [F. Caballero et al., Phys. Rev. Lett. 121, 020601 (2018)] that the original…

统计力学 · 物理学 2021-08-11 V. Skultety , J. Honkonen