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We derive the exact equation of motion for a vortex in two- and three- dimensional non-relativistic systems governed by the Ginzburg-Landau equation with complex coefficients. The velocity is given in terms of local gradients of the…

patt-sol · Physics 2016-09-08 Ola Tornkvist , Elsebeth Schroder

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

Self-propelled colloidal swimmers move by pushing the adjacent fluid backwards. The resulting motion of an asymmetric body depends on the profile of pushing velocity over its surface. We describe a method of predicting the motion arising…

Soft Condensed Matter · Physics 2019-07-18 Thomas A. Witten , Aaron Mowitz

Control of particle motion is generally achieved by applying an external field that acts directly on each particle. Here, we propose a global way to manipulate the motion of a particle by dynamically changing the properties of the fluid in…

Soft Condensed Matter · Physics 2024-11-11 Tali Khain , Michel Fruchart , Vincenzo Vitelli

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 theoretically investigate the properties of ultra-cold dipolar atoms in radially coupled, concentric annular traps created by a potential barrier. The non-rotating ground-state phases are investigated across the superfluid-supersolid…

Quantum Gases · Physics 2025-06-30 Malte Schubert , Koushik Mukherjee , Tilman Pfau , Stephanie Reimann

A detailed distribution of the force of electromagnetic radiation in and around dielectric media can be obtained by a direct application of the Lorentz law of force in conjunction with Maxwell's equations. We develop a theory of the force…

Optics · Physics 2012-07-12 Masud Mansuripur

We study the phase behavior of polar Active Brownian Particles moving in two-spatial dimensions and interacting through volume exclusion and velocity alignment. We combine particle-based simulations of the microscopic model with a simple…

Soft Condensed Matter · Physics 2018-12-26 Elena Sese-Sansa , Ignacio Pagonabarraga , Demian Levis

Polar active matter of self-propelled particles sustain spontaneous flows through the full-integer topological defects. We study theoretically the effect of both polar and dipolar active forces on the flow profile around $\pm 1$ defects and…

Soft Condensed Matter · Physics 2023-03-14 Jonas Rønning , Julian Renaud , Amin Doostmohammadi , Luiza angheluta

In this paper, the effectiveness of electromagnetic forces on controlling the motion of a sedimenting elliptical particle is investigated using the immersed interface-lattice Boltzmann method (II-LBM), in which a signed distance function is…

Fluid Dynamics · Physics 2021-03-08 Jianhua Qin , Guodan Dong , Hui Zhang

Here we show that coupling to curvature has profound effects on collective motion in active systems, leading to patterns not observed in flat space. Biological examples of such active motion in curved environments are numerous: curvature…

Soft Condensed Matter · Physics 2015-03-05 Rastko Sknepnek , Silke Henkes

We analytically study the role of nonconservative forces, namely viscous couplings, on the statistical properties of the energy flux between two Brownian particles kept at different temperatures. From the dynamical model describing the…

Statistical Mechanics · Physics 2016-12-01 Antoine Bérut , Alberto Imparato , Artyom Petrosyan , Sergio Ciliberto

For a system of Brownian particles interacting via a soft exponential potential we investigate the interaction between equilibrium crystallization and spatially varying shear flow. For thermodynamic state points within the liquid part of…

Soft Condensed Matter · Physics 2017-11-07 Alberto Scacchi , Joseph M. Brader

We study the force that non-interacting point-like active particles apply to a symmetric inert object in the presence of a gradient of activity and particle sources and sinks. We consider two simple patterns of sources and sinks that are…

Statistical Mechanics · Physics 2018-03-06 Nitzan Razin , Raphael Voituriez , Jens Elgeti , Nir S. Gov

Equations governing the flow of a polar fluid, with pressure-dependent Newtonian viscosity, through a variable-porosity medium are developed. Averaged equations are obtained using intrinsic volume averaging. A drag function is introduced to…

Fluid Dynamics · Physics 2025-12-04 M. H. Hamdan , D. C. Roach

We describe a numerical investigation of a continuum model of an active nematic, concentrating on the regime of active turbulence. Results are presented for the effect of three parameters, activity, elastic constant and rotational diffusion…

Soft Condensed Matter · Physics 2015-06-18 Sumesh P. Thampi , Ramin Golestanian , Julia M. Yeomans

Applications of active particles require a method for controlling their dynamics. While this is typically achieved via direct interventions, indirect interventions based, e.g., on an orientation-dependent self-propulsion speed of the…

Soft Condensed Matter · Physics 2022-10-25 Stephan Bröker , Jens Bickmann , Michael te Vrugt , Michael E. Cates , Raphael Wittkowski

Brownian motion of a particle with an arbitrary shape is investigated theoretically. Analytical expressions for the time-dependent cross-correlations of the Brownian translational and rotational displacements are derived from the…

Statistical Mechanics · Physics 2015-02-13 Bodan Cichocki , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb

By Bernoulli's law, an increase in the relative speed of a fluid around a body is accompanies by a decrease in the pressure. Therefore, a rotating body in a fluid stream experiences a force perpendicular to the motion of the fluid because…

Optics · Physics 2013-09-13 Ramis Movassagh , Steven G. Johnson

When a fluid system is subject to strong rotation, centrifugal fluid motion is expected, i.e., denser (lighter) fluid moves outward (inward) from (toward) the axis of rotation. Here we demonstrate, both experimentally and numerically, the…

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