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We study structure formation in two-dimensional turbulence driven by an external force, interpolating between linear instability forcing and random stirring, subject to nonlinear damping. Using extensive direct numerical simulations, we…

Fluid Dynamics · Physics 2024-01-09 A. van Kan , B. Favier , K. Julien , E. Knobloch

We consider a two-dimensional Wigner crystal coupled to a quasi-one-dimensional asymmetric potential under ac or dc driving. As a function of electron density, substrate strength, and ac amplitude, we find that the system exhibits ordered…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density $\rho$. Restricting ourselves to periodic configurations of…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics,…

Pattern Formation and Solitons · Physics 2017-10-11 C. Chong , Mason A. Porter , P. G. Kevrekidis , C. Daraio

We present a jamming diagram for 2D bidisperse granular systems, capturing two distinct jamming transitions. The first occurs as large particles form a jammed structure, while the second, emerging at a critical small-particle concentration,…

Soft Condensed Matter · Physics 2025-05-20 Juan C. Petit , Matthias Sperl

Morphological instability of the solid-liquid interface occuring in a crystal growing from an undercooled thin liquid being bounded on one side by a free surface and flowing down inclined plane is investigated by a linear stability analysis…

Materials Science · Physics 2009-11-10 K. Ueno

We derive exact results for the fluctuations in energy produced by microscopic disorder in near-crystalline athermal systems. Our formalism captures the heterogeneity in the elastic energy of polydispersed soft disks in energy-minimized…

Soft Condensed Matter · Physics 2021-11-05 Pappu Acharya , Debankur Das , Surajit Sengupta , Kabir Ramola

We study two dimensional turbulent magnetic reconnection in a compressible fluid in the gas pressure dominated limit. We use open boundary conditions and start from a Harris current sheet configuration with a uniform total pressure. A small…

Astrophysics of Galaxies · Physics 2015-05-14 K. Kulpa-Dybel , G. Kowal , K. Otmianowska-Mazur , A. Lazarian , E. Vishniac

Competing pinning effects on a D-dimensional interface by weak impurity disorder and a periodic potential of the underlying crystal lattice are analyzed for $2<D<4$. We use both the Gaussian variational method (GVM) and the functional…

Statistical Mechanics · Physics 2007-05-23 Uwe Müssel

We investigate the dynamic evolution of jamming in granular media through fluctuations in the granular drag force. The successive collapse and formation of jammed states give a stick-slip nature to the fluctuations which is independent of…

Disordered Systems and Neural Networks · Physics 2009-10-31 I. Albert , P. Tegzes , B. Kahng , R. Albert , J. G. Sample , M. Pfeifer , A. -L. Barabasi , T. Vicsek , P. Schiffer

The sudden arrest of motion due to confinement is commonly observed via the clogging transition in the flow of particles through a constriction. We present results of a simple experiment to elucidate a similar transition in the…

Soft Condensed Matter · Physics 2020-04-07 Emily A. Hobbs , Alexander Christensen , Brian C. Utter

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

Quantum Gases · Physics 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of non-interacting particles, experiencing elastic collisions with a heavy and periodically…

Statistical Mechanics · Physics 2018-04-04 André L. P. Livorati , Tiago Kroetz , Carl P. Dettmann , Iberê L. Caldas , Edson D. Leonel

We explore various properties of classical one-dimensional Wigner solids in the presence of disorder at T=0 in the context of a recently discovered Anderson transition of plasma modes in the random potential system. The extent to which the…

Disordered Systems and Neural Networks · Physics 2011-11-09 Shimul Akhanjee , Joseph Rudnick

Critically analyzing recent STM and transport experiments [Z. Ge, et al, arXiv:2510.12009] on 2D electron systems in the presence of random quenched impurities, we argue that the resulting low-density putative "solid" phase reported…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Aryaman Babbar , Zi-Jian Li , Sankar Das Sarma

Structural phase transitions in two vertically or horizontally coupled channels of strongly interacting particles are investigated. The particles are free to move in the $x$-direction but are confined by a parabolic potential in the…

Statistical Mechanics · Physics 2012-11-07 J. E. Galván-Moya , K. Nelissen , F. M. Peeters

A unique and often overlooked property of a source loaded with relativistic protons is that it can become supercritical, i.e. it can undergo an abrupt transition from a radiatively inefficient to a radiatively efficient state once its…

High Energy Astrophysical Phenomena · Physics 2018-04-11 Maria Petropoulou , Apostolos Mastichiadis

We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field…

Quantum Gases · Physics 2025-07-16 Wilhelm Zwerger

We derive exact results for stress correlations in near-crystalline systems in two and three dimensions. We study energy minimized configurations of particles interacting through Harmonic as well as Lennard-Jones potentials, for varying…

Soft Condensed Matter · Physics 2023-12-18 Roshan Maharana , Kabir Ramola