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We present a Lattice-Boltzmann method for simulating self-propelling (active) colloidal particles in two-dimensions. Active particles with symmetric and asymmetric force distribution on its surface are considered. The velocity field…

Soft Condensed Matter · Physics 2009-11-11 Sanoop Ramachandran , P. B. Sunil Kumar , I. Pagonabarraga

We present a classical and quantum analysis of a particle confined in a three-dimensional paraboloidal cavity formed by two confocal paraboloids. Classically, the system is integrable and presents three independent constants of motion,…

Quantum Physics · Physics 2025-12-10 Ángel E. Reyna-Cruz , Julio C. Gutiérrez-Vega

Non-aligning self-propelled particles with purely repulsive excluded volume interactions undergo athermal motility-induced phase separation into a dilute gas and a dense cluster phase. Here, we use enhanced sampling computational methods…

Soft Condensed Matter · Physics 2016-10-05 Gabriel S. Redner , Caleb G. Wagner , Aparna Baskaran , Michael F. Hagan

Directed transport of self-propelled particles is numerically investigated in a three-dimensional asymmetric potential. Beside the steric repulsive forces, hydrodynamic interactions between particles have been taken into account in an…

Soft Condensed Matter · Physics 2017-01-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

The electrostatic force is described in this model by the action of electric dipole distributions on charged particles. The individual hypothetical dipoles are propagating at the speed of light in vacuum transferring momentum and energy…

General Physics · Physics 2018-03-15 K. Wilhelm , B. N. Dwivedi , H. Wilhelm

This paper extends the semianalytical treatment of fast ion current density to take into account time dependence and velocity diffusion using solutions of Boltzmann equation with a complete Coulomb collision term (Goncharov et al. 2010…

Plasma Physics · Physics 2011-09-26 P. R. Goncharov , B. V. Kuteev , V. Yu. Sergeev , T. Ozaki , S. Sudo

We study theoretically the collective dynamics of particles driven by an optical vortex along a circular path. Phase equations of N particles are derived by taking into account both hydrodynamic and repulsive interactions between them. For…

Adaptation and Self-Organizing Systems · Physics 2019-09-30 Takumi Miyamoto , Masayuki Imai , Nariya Uchida

Active colloidal particles that are propelled by a self-diffusiophoretic mechanism are often described by Langevin equations that are either postulated on physical grounds or derived using the methods of fluctuating hydrodynamics. While…

Statistical Mechanics · Physics 2020-10-28 Bryan Robertson , Jeremy Schofield , Pierre Gaspard , Raymond Kapral

We consider a two-dimensional, incompressible fluid body, together with self-induced interactions. The body is perturbed by an external particle with small mass. The whole configuration rotates uniformly around the common center of mass. We…

Analysis of PDEs · Mathematics 2026-02-25 Diego Alonso-Orán , Bernhard Kepka , Juan J. L. Velázquez

We study an agent-based model of self-propelled particles with a velocity-dependent alignment rule. This interaction is orientation weighted and acts along the line connecting neighboring particles. Tuning the alignment strength produces…

Soft Condensed Matter · Physics 2026-05-19 Bohdan Dobosh , Alexander Yakimenko

We consider a system of N non-relativistic spinless quantum particles (``electrons'') interacting with a quantized scalar Bose field (whose excitations we call ``photons''). We examine the case when the velocity v of the electrons is small…

Mathematical Physics · Physics 2008-11-26 L. Tenuta , S. Teufel

Different models are described where non-interacting particles generate dissipative effective forces by the mixing of infinitely many soft normal modes. The effective action is calculated for these models within the Closed Time Path…

High Energy Physics - Theory · Physics 2015-02-16 Janos Polonyi

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

Statistical Mechanics · Physics 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

The particle diffusion in a fluid is a classical topic that dates back to more than one century ago. However, a full solution to this issue still lacks. In this work the velocity autocorrelation function and the diffusion constant are…

Fluid Dynamics · Physics 2016-08-03 Hanqing Zhao , Hong Zhao

The classical dynamics of two electrons in the Coulomb potential of an attractive nucleus is chaotic in large parts of the high-dimensional phase space. Quantum spectra of two-electron atoms, however, exhibit structures which clearly hint…

Chaotic Dynamics · Physics 2009-11-10 Min-Ho Lee , Gregor Tanner , Nark Nyul Choi

We study the issue of description of spinning particle dynamics by means of recently proposed world sheet concept. A model of irreducible spinning particle in the $3d$ Minkowski space with two gauge symmetries is considered. The classical…

High Energy Physics - Theory · Physics 2021-05-06 D. S. Kaparulin , I. A. Retuncev

We consider classical N-particle system with arbitrary central pair potential. Mechanical equilibrium condition in spherically-symmetric case leads to a nonlinear integro-differential equation for concentration n(r). For special state…

Soft Condensed Matter · Physics 2008-11-26 Sergey S. Kokarev

We consider the production of mobile and nonlocal pairwise spin-entangled electrons from tunneling of a BCS-superconductor (SC) to two normal Fermi liquid leads. The necessary mechanism to separate the two electrons coming from the same…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Patrik Recher , Daniel Loss

We investigate the dynamics of very large particles freely advected in a turbulent von Karman flow. Contrary to other experiments for which the particle dynamics is generally studied near the geometrical center of the flow, we track the…

We develop a general hydrodynamic theory describing a system of interacting actively propelling particles of arbitrary shape suspended in a viscous fluid. We model the active part of the particle motion using a slip velocity prescribed on…

Fluid Dynamics · Physics 2019-01-15 Bhargav Rallabandi , Fan Yang , Howard A. Stone
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