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In one dimension, any disorder is traditionally believed to localize all states. We show that this paradigm breaks down under hyperuniform disorder, which suppresses long-wavelength fluctuations and interpolates between random and periodic…

Disordered Systems and Neural Networks · Physics 2025-09-30 Junmo Jeon , Harukuni Ikeda , Shiro Sakai

We present evidence of the existence of a superdiffusive regime in systems with correlated disorder for which localization is suppressed. An expression for anomalous electrical conductivity at low frequencies is found by using a generalized…

Statistical Mechanics · Physics 2009-11-11 Fernando A. Oliveira , Rafael Morgado , Alex Hansen , J. M. Rubi

We characterize steady-state static and dynamic properties in a broad class of mass transport processes on a periodic hypercubic lattice of volume $L^d$, where both mass and {\it center-of-mass} (CoM) remain conserved and detailed balance…

Statistical Mechanics · Physics 2025-03-31 Animesh Hazra , Anirban Mukherjee , Punyabrata Pradhan

We define a simple model of conformal field theory in random space-time environments, which we refer to as stochastic conformal field theory. This model accounts for the effects of dilute random impurities in strongly interacting critical…

Disordered Systems and Neural Networks · Physics 2017-09-20 Denis Bernard , Benjamin Doyon

Driven non-equilibrium lattice models have wide-ranging applications in contexts such as mass transport, traffic flow, and transport in biological systems. In this work, we investigate the steady-state properties of a one-dimensional…

Statistical Mechanics · Physics 2026-01-16 Swastik Majumder , Mustansir Barma

The internal stability of the electron has been debated for a century at both the classical and the quantum level. Recently, a local force density balance was established for the 1s electron in the H atom, based on the energy-momentum…

Quantum Physics · Physics 2016-02-09 F. J. Himpsel

The local stability of stellar and fluid discs, under a new modified dynamical model, is surveyed by using WKB approximation. The exact form of the modified Toomre criterion is derived for both types of systems and it is shown that the new…

Astrophysics of Galaxies · Physics 2019-02-06 Hossein Shenavar , Neda Ghafourian

The equilibrium behavior of a system of elastic layers under tension in the presence of correlated disorder is studied using functional renormalization group techniques. The model exhibits many of the features of the Bose glass phase of…

Condensed Matter · Physics 2009-10-22 Leon Balents

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

The effect of a localized drive on the steady state of an interface separating two phases in coexistence is studied. This is done using a spin conserving kinetic Ising model on a two dimensional lattice with cylindrical boundary conditions,…

Statistical Mechanics · Physics 2014-11-18 Tridib Sadhu , Zvi Shapira , David Mukamel

In this article we examine the dynamics of a colloidal particle driven by a modulated force over a sinusoidal optical potential energy landscape. Coupling between the competing frequencies of the modulated drive and that of particle motion…

We develop a microscopic transport theory in a randomly driven fermionic model with and without linear potential. The operator dynamics arise from the competition between noisy and static couplings, leading to diffusion regardless of…

Strongly Correlated Electrons · Physics 2023-11-29 Christopher M. Langlett , Shenglong Xu

We have measured equilibrium sedimentation profiles in a colloidal model system with confocal microscopy. By tuning the interactions, we have determined the gravitational length in the limit of hard-sphere-like interactions, and using the…

Soft Condensed Matter · Physics 2009-11-10 C. P. Royall , R. van Roij , A. van Blaaderen

We investigate how the time dependence of the Hamiltonian determines the occurrence of Dynamical Localization (DL) in driven quantum systems with two incommensurate frequencies. If both frequencies are associated to impulsive terms, DL is…

Chaotic Dynamics · Physics 2009-11-07 G. Abal , R. Donangelo , A. Romanelli , A. C. Sicardi Schifino , R. Siri

The vertical transport of solid material in a stratified medium is fundamental to a number of environmental applications, with implications for the carbon cycle and nutrient transport in marine ecosystems. In this work, we study the…

Fluid Dynamics · Physics 2024-09-05 Robert Hunt , Roberto Camassa , Richard M. McLaughlin , Daniel M. Harris

We consider the follow-the-leader model for traffic flow. The position of each car $z_i(t)$ satisfies an ordinary differential equation, whose speed depends only on the relative position $z_{i+1}(t)$ of the car ahead. Each car perceives a…

Analysis of PDEs · Mathematics 2017-12-20 Wen Shen , Karim Shikh-Khalil

An active network is a prototype model in non-equilibrium statistical mechanics. It can represent, for example, a system with particles that have a self-propulsion mechanism. Each node of the network specifies a possible location of a…

Statistical Mechanics · Physics 2018-07-13 Dekel Shapira , Dganit Meidan , Doron Cohen

We model collective disk flow though a square array of obstacles as the flow direction is changed relative to the symmetry directions of the array. At lower disk densities there is no clogging for any driving direction, but as the disk…

Soft Condensed Matter · Physics 2024-04-22 C. Reichhardt , C. J. O. Reichhardt

We study the disorder-induced deterministic dispersion of particles uniformly driven in an array of narrow tracks. For different toy models with quenched disorder we obtain exact analytical expressions for the steady-state mean velocity $v$…

Disordered Systems and Neural Networks · Physics 2022-12-01 Federico Elías , Alejandro B. Kolton