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The invariance for the equation of fast diffusion in the 2D coordinate space has been proved, and its reduction to the 1D (with respect to the spatial variable) analog is demonstrated. On the basis of these results, new exact…

Mathematical Physics · Physics 2007-05-23 E. I. Semenov

Despite 2D materials holding great promise for a broad range of applications, the proliferation of devices and their fulfillment of real-life demands are still far from being realized. Experimentally obtainable samples commonly experience a…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Pavel V. Kolesnichenko , Qianhui Zhang , Changxi Zheng , Michael S. Fuhrer , Jeffrey A. Davis

A simple model of an active colloid consisting of dumbbell-shaped particles that cyclically change their length without propelling themselves is proposed and analyzed. At nanoscales, it represents an idealization for bacterial cytoplasm or…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuki Koyano , Hiroyuki Kitahata , Alexander S. Mikhailov

We have performed Brownian dynamics simulations on melting of two-dimensional colloidal crystal in which particles interact with Yukawa potential. The pair correlation function and bond-orientational correlation function was calculated in…

Soft Condensed Matter · Physics 2008-09-03 Wei-Kai Qi , Shao-Meng Qin , Xiao-Ying Zhao , Yong Chen

A rotating dusty plasma apparatus was constructed to provide the possibility of experimental emulation of extremely high magnetic fields by means of the Coriolis force, observable in a co-rotating measurement frame. We present collective…

Plasma Physics · Physics 2014-06-02 Peter Hartmann , Zoltán Donkó , Torben Ott , Hanno Kählert , Michael Bonitz

Molecular dynamics computer simulations are used to investigate thedynamics of a binary mixture of charged (Yukawa) particles with a size-ratio of 1:5. We find that the system undergoes a phase transition where the large particles…

Disordered Systems and Neural Networks · Physics 2015-06-25 Norio Kikuchi , Juergen Horbach

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch

In this paper, the structural property of complex plasma and self-diffusion coefficient of dust particles in presence of such wake potential have been investigated using Langevin dynamics simulation in the subsonic regime of ion flow. The…

Plasma Physics · Physics 2017-02-22 Mahmuda Begum , Nilakshi Das

Two-dimensional classical cluster of particles interacting through a screened Coulomb potential is studied. This system can be used as a model for "dusty particles" in high-frequency discharge plasma. For systems consisting of N = 2 - 40…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. E. Astrakharchik , A. I. Belousov , Yu. E. Lozovik

A self-consistent theory of bulk electrolytes incorporating electrostatic and hard-core interactions on an equal level is applied to the two-dimensional Coulomb liquid with finite ion size. The ionic pair distributions, the structure…

Soft Condensed Matter · Physics 2026-04-10 Sahin Buyukdagli

We investigate the physics of ultracold dipolar molecules using path-integral quantum Monte Carlo simulations, and construct the complete phase diagram extending from weak to strong interactions and from small to mesoscopic particle…

Quantum Gases · Physics 2025-04-04 Matteo Ciardi , Kasper Rønning Pedersen , Tim Langen , Thomas Pohl

The dynamical behavior of binary mixtures consisting of highly charged colloidal particles is studied by means of Brownian dynamics simulations. We investigate differently sized, but identically charged particles with nearly identical…

Soft Condensed Matter · Physics 2024-11-14 Daniel Weidig , Joachim Wagner

The dynamics of a freely diffusing particle in a two-dimensional channel with cross sectional area $A(x)$, can be effectively described by a one-dimensional diffusion equation under the action of a potential of mean force $U(x)=-k_BT\ln…

Statistical Mechanics · Physics 2019-02-28 Matan Sivan , Oded Farago

A first-principle study of diffusion in a strongly coupled one-component plasma in a magnetic field B is presented. As in a weakly coupled plasma, the diffusion coefficient perpendicular to the field exhibits a Bohm-like 1/B-behavior in the…

Plasma Physics · Physics 2011-12-30 T. Ott , M. Bonitz

Plasmonic response of superconductors at various dimensions are addressed in this paper. All possible parameter space is discussed and considered for theoretical demonstration towards possible future experiments. The most critical…

Applied Physics · Physics 2020-08-19 Tamer Dogan

We demonstrate that 2D Fermi liquids can support peculiar excitations that are not subject to Landau's $T^2$ dissipation. The long-lived excitations relax through correlated angular dynamics involving "lock-step" angular displacements along…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 Patrick Ledwith , Haoyu Guo , Leonid Levitov

Several sub-diffusive stochastic processes in nature, e.g., motion of tagged monomer in polymers, height fluctuation of interfaces and particle dynamics in single-file diffusion etc. can be described rigorously or approximately by the…

Statistical Mechanics · Physics 2017-05-03 Takuya Saito , Takahiro Sakaue

The theoretical description of complex (dusty) plasmas requires multiscale concepts that adequately incorporate the correlated interplay of streaming electrons and ions, neutrals, and dust grains. Knowing the effective dust-dust…

Plasma Physics · Physics 2015-04-22 Patrick Ludwig , Wojciech J. Miloch , Hanno Kählert , Michael Bonitz

Self-diffusion of a sphere in a network of rods is analyzed theoretically. Hydrodynamic interactions are taken into account according to the model of Dhont et al., under the assumption that $\ka << 1$ and $\bar{a}/L<<1$, where $1/\kappa$ is…

Soft Condensed Matter · Physics 2015-05-13 Bogdan Cichocki , Maria L. Ekiel-Jezewska

When deformed, liquid foams tend to raise their liquid contents like immersed granular materials, a phenomenon called dilatancy. We have aready described a geometrical interpretation of elastic dilatancy in 3D foams and in very dry foams…

Soft Condensed Matter · Physics 2010-11-02 François Molino , Pierre Rognon , Cyprien Gay