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We examine the behaviour of charged particles in homogeneous, constant and/or oscillating magnetic fields in the non-relativistic approximation. A special role of the geometric center of the particle trajectory is elucidated. In quantum…

Quantum Physics · Physics 2015-05-19 Bogdan Mielnik , Alejandra Ramírez

A free non-relativistic particle moving in two dimensions on a half-plane can be described by self-adjoint Hamiltonians characterized by boundary conditions imposed on the systems. The most general boundary condition is parameterized in…

High Energy Physics - Theory · Physics 2009-10-22 Michel Carreau

We report Brownian dynamics (BD) simulation and theoretical results for a system of spherical colloidal particles with permanent dipole moments in a rotating magnetic field. Performing simulations at a fixed packing fraction and dipole…

Soft Condensed Matter · Physics 2011-03-07 Sebastian Jaeger , Sabine H. L. Klapp

We consider a system of $N$ non-crossing Brownian particles in one dimension. We find the exact rate function that describes the long-time large deviation statistics of their occupation fraction in a finite interval in space. Remarkably, we…

Statistical Mechanics · Physics 2023-06-28 Soheli Mukherjee , Naftali R. Smith

In contrast to equilibrium systems, inertia can profoundly impact the phase behavior of active systems. This has been made particularly evident in recent years, with motility-induced phase separation (MIPS) exhibiting several intriguing…

Soft Condensed Matter · Physics 2025-04-21 Jiechao Feng , Ahmad K. Omar

Systems comprised of self-steering active Brownian particles are studied via simulations for a minimal cognitive flocking model. The dynamics of the active Brownian particles is extended by an orientational response with limited…

Soft Condensed Matter · Physics 2024-06-04 Rajendra Singh Negi , Roland G. Winkler , Gerhard Gompper

Collective rotations are common in active matter, enhancing cohesion, transport, and mixing. They are typically attributed to chiral non-reciprocal dynamics due to intrinsic particle chirality, torque-generating interactions among units, or…

Soft Condensed Matter · Physics 2026-04-20 Maks Pečnik Bambič , Nuno A. M. Araújo , Giorgio Volpe

We derive from first principles the mechanical pressure $P$, defined as the force per unit area on a bounding wall, in a system of spherical, overdamped, active Brownian particles at density $\rho$. Our exact result relates $P$, in closed…

Soft Condensed Matter · Physics 2015-07-10 A. P. Solon , J. Stenhammar , R. Wittkowski , M. Kardar , Y. Kafri , M. E. Cates , J. Tailleur

We study the motion of charged Brownian particles in an external magnetic field. It is found that a correlation appears between the components of particle velocity in the case of anisotropic friction, approaching asymptotically zero in the…

Statistical Mechanics · Physics 2009-11-13 N. Voropajeva , T. Ord

Active transport of biomolecular condensates and cell migration in collectives are fundamental to development, homeostasis, and processes such as cancer progression, wound healing, and infection response. Yet how these assemblies are…

Soft Condensed Matter · Physics 2025-10-24 Hossein Vahid , Jens-Uwe Sommer , Abhinav Sharma

Dyson's model is a one-dimensional system of Brownian motions with long-range repulsive forces acting between any pair of particles with strength proportional to the inverse of distances with proportionality constant $\beta/2$. We give…

Probability · Mathematics 2009-11-20 Makoto Katori , Hideki Tanemura

A study of the non-dissipative Brownian motion in vacuum is presented. The noise source associated to the stochastic process assumed in this work is vacuum fluctuations of some quantum field capable of interact with a massive particle. For…

Classical Physics · Physics 2007-05-23 J. M. A. Figueiredo

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 generalize the Green-Kubo approach, previously applied to bulk systems of spherically symmetric active particles [J. Chem. Phys. 145, 161101 (2016)], to include spatially inhomogeneous activity. The method is applied to predict the…

Soft Condensed Matter · Physics 2017-09-20 Abhinav Sharma , Joseph Brader

Off-lattice active Brownian particles form clusters and undergo phase separation even in the absence of attractions or velocity-alignment mechanisms. Arguments that explain this phenomenon appeal only to the ability of particles to move…

Statistical Mechanics · Physics 2018-05-28 Stephen Whitelam , Katherine Klymko , Dibyendu Mandal

By systematically varying the mobility of self-propelled particles in a two-dimensional (2D) lattice, we experimentally study the influence of particle mobility on system's collective motion. Our system is intrinsically non-equilibrium due…

Soft Condensed Matter · Physics 2016-02-19 Hongchuan Shen , Peng Tan , Lei Xu

Systems containing active components are intrinsically out of equilibrium, while binary mixtures reach their equilibrium configuration when complete phase separation is achieved. Active particles are found to stabilise non-equilibrium…

Soft Condensed Matter · Physics 2025-03-11 Javier Diaz , Ignacio Pagonabarraga

While free and weakly interacting particles are well described by a a second-quantized nonlinear Schr\"odinger field, or relativistic versions of it, the fields of strongly interacting particles are governed by effective actions, whose…

Quantum Physics · Physics 2015-06-11 H. Kleinert

We consider a particle, confined to a moving harmonic potential, under the influence of friction and external asymmetric Poissonian shot noise (PSN). We study the fluctuations of the work done to maintain this system in a nonequilibrium…

Statistical Mechanics · Physics 2009-04-01 A. Baule , E. G. D. Cohen

Interfacial phenomena of motility-induced phase separation of active particles challenge our conventional understanding of phase coexistence. Despite the ubiquity of nonmechanical communication couplings among real active particles, most…

Soft Condensed Matter · Physics 2025-07-22 Zihao Sun , Longfei Li , Fangfu Ye , Mingcheng Yang