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We study the stochastic dynamics of a two-dimensional particle assuming that the components of its position are two coupled random-acceleration processes evolving in a confining parabolic potential and are the subjects of independent…

统计力学 · 物理学 2026-01-13 Victor Dotsenko , Gleb Oshanin , Leonid Pastur , Pascal Viot

We investigate the origin of the deviations from the classical Darcy law by numerical simulation of the Navier-Stokes equations in two-dimensional disordered porous media. We apply the Forchheimer equation as a phenomenological model to…

软凝聚态物质 · 物理学 2009-10-31 J. S. Andrade , U. M. S. Costa , M. P. Almeida , H. A. Makse , H. E. Stanley

The complex processes underlying the generation of a coherent-like emission from the multiple-scattering of photons and wave-localization in the presence of structural disorder are still mostly un-explored. Here we show that a single…

We consider a semiclassical formulation for the density of states (DOS) of disordered systems in any dimension. We show that this formulation becomes very accurate when the correlation length of the disorder potential is large. The disorder…

无序系统与神经网络 · 物理学 2009-11-11 J. C. Flores , M. Hilke

In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed…

统计力学 · 物理学 2024-12-19 Thierry Bodineau , Bernard Derrida

The time-dependent Ginzburg-Landau equation and the Boltzmann transport equation for one-dimensional charge-density-wave (CDW) conductors are derived from a microscopic model by applying the Keldysh Green's function approach under a…

强关联电子 · 物理学 2016-08-24 Yositake Takane , Masahiko Hayashi , Hiromichi Ebisawa

We compute the distribution of the partition functions for a class of one-dimensional Random Energy Models (REM) with logarithmically correlated random potential, above and at the glass transition temperature. The random potential sequences…

无序系统与神经网络 · 物理学 2010-01-18 Yan V Fyodorov , Pierre Le Doussal , Alberto Rosso

Variational wave functions containing electronic pairing and suppressed charge fluctuations (i.e., projected BCS states) have been proposed as the paradigm for disordered magnetic systems (including spin liquids). Here we discuss the…

强关联电子 · 物理学 2009-06-01 Federico Becca , Luca Capriotti , Alberto Parola , Sandro Sorella

Within the framework of holography applied to condensed matter physics, we study a model of perturbatively charged disorder in D=4 dimensions. Starting from initially uncharged AdS_4, a randomly fluctuating boundary chemical potential is…

高能物理 - 理论 · 物理学 2015-08-26 Daniel K. O'Keeffe , Amanda W. Peet

We prove a global decomposition result for $\log$-correlated Gaussian fields on the $d$-dimensional torus and use this to derive new small deviations bounds for a class of Gaussian multiplicative chaos measures obtained from Gaussian fields…

数学物理 · 物理学 2025-07-31 Nikolay Barashkov , Joona Oikarinen , Mo Dick Wong

For the Nonlinear Shr\"odinger Equation with disorder it was found numerically that in some regime of the parameters Anderson localization is destroyed and subdiffusion takes place for a long time interval. It was argued that the nonlinear…

无序系统与神经网络 · 物理学 2014-09-16 Erez Michaely , Shmuel Fishman

We calculate the density of states of a disordered inhomogeneous d-wave superconductor in a magnetic field. The field-induced vortices are assumed to be pinned at random positions and the effects of the scattering of the quasi-particles off…

超导电性 · 物理学 2007-05-23 J. Lages , P. D. Sacramento , Z. Tesanovic

Field theories are usually quantized by performing a path integral over configurations of classical fields. This is the case both in perturbation theory and in Wilson's nonperturbative lattice field theory. D-theory is an alternative…

高能物理 - 格点 · 物理学 2007-05-23 Uwe-Jens Wiese

We consider quantum systems which interact strongly with a rapidly varying environment and derive a Schrodinger-like equation which describes the time evolution of the average wave function. We show that the corresponding Hamiltonian can be…

综合物理 · 物理学 2009-11-07 R. Huerta , J. Wudka

We investigate the dynamics of non-interacting particles in a one-dimensional tight-binding chain in the presence of an electric field with random amplitude drawn from a Gaussian distribution, and explicitly focus on the nature of quantum…

无序系统与神经网络 · 物理学 2025-02-11 Vatsana Tiwari , Sushanta Dattagupta , Devendra Singh Bhakuni , Auditya Sharma

We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate $x$, which is simultaneously exposed to a space-dependent friction coefficient $\gamma(x)$, a confining potential $U(x)$ and…

软凝聚态物质 · 物理学 2021-05-12 Davide Breoni , Hartmut Löwen , Ralf Blossey

We present a density functional scheme for calculating the pair density (PD) by means of the correlated wave function. This scheme is free from both of problems related to PD functional theory, i.e., (a) the need to constrain the…

强关联电子 · 物理学 2015-06-25 Masahiko Higuchi , Katsuhiko Higuchi

A correlated random walk approach to diffusion is applied to the disordered nonoverlapping Lorentz gas. By invoking the Lu-Torquato theory for chord-length distributions in random media [J. Chem. Phys. 98, 6472 (1993)], an analytic…

统计力学 · 物理学 2008-02-16 Artur B. Adib

We study the electronic transport in the lowest Landau level of disordered two-dimensional semimetals placed in a homogeneous perpendicular magnetic field. The material system is modeled by the Bernevig-Hughes-Zhang Hamiltonian, which has…

介观与纳米尺度物理 · 物理学 2022-06-22 Andreas Sinner , Gregor Tkachov

We take up the idea of Nelson's stochastic processes, the aim of which was to deduce Schr\"odinger's equation. We make two major changes here. The first one is to consider deterministic processes which are pseudo-random but which have the…

量子物理 · 物理学 2025-05-01 Michel Gondran , Alexandre Gondran