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A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work we study a 2D version of this model, where the molecule is a heavy disk of mass M and the gas is…

Dynamical Systems · Mathematics 2008-12-02 N. Chernov , D. Dolgopyat

A general kind of Brownian vortexes are demonstrated by applying an external nonconservative force field to a colloidal particle bound by a conservative optical trapping force at a liquid-air interface. As the liquid medium is translated at…

Soft Condensed Matter · Physics 2011-05-09 Manas Khan , A. K. Sood

In this work we develop and apply a path integral formulation for the microscopic degrees of freedom obeying stochastic differential equations to an active Brownian particle (ABP) trapped in a harmonic potential. The formalism allows to…

Soft Condensed Matter · Physics 2025-10-01 Carsten Littek , Mike Brandt , Falko Ziebert

Motivated by the simple models of molecular motor obeying a linear force-velocity relation, we have studied the stochastic dynamics of a Brownian particle in the presence of a linear velocity dependent force, $f_s(1-\frac{v}{v_0})$ where…

Statistical Mechanics · Physics 2021-08-19 Arsha N , Shabina S , Mamata Sahoo

We study the motion of a solid particle immersed in a Newtonian fluid and confined between two parallel elastic membranes possessing shear and bending rigidity. The hydrodynamic mobility depends on the frequency of the particle motion due…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Achim Guckenberger , Stephan Gekle

We investigate the effect of inertia on barrierless electronic reactions in solution by suggesting and examining different probability distribution functions (PDF) of relevant Brownian functionals associated with the lifetime and reactivity…

Statistical Mechanics · Physics 2017-01-13 Ashutosh Dubey , Malay Bandyopadhyay , A. M. Jayannavar

We study quantum Brownian motion (QBM) models for a particle in a dissipative environment coupled to a periodic potential. We review QBM for a particle in a one-dimensional periodic potential and extend the study to that for a particle in…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Grace H. Zhang

We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition,…

Quantum Physics · Physics 2009-11-13 A. Bermudez , M. A. Martin-Delgado , A. Luis

The quantum theory of Brownian motion is discussed in the Schwinger version wherein the notion of a coordinate moving forward in time $x(t)$ is replaced by two coordinates, $x_+(t)$ moving forward in time and $x_-(t)$ moving backward in…

Quantum Physics · Physics 2009-10-30 M. Blasone , Y. N. Srivastava , G. Vitiello , A. Widom

We investigate the response of large inertial particle to turbulent fluctuations in a inhomogeneous and anisotropic flow. We conduct a Lagrangian study using particles both heavier and lighter than the surrounding fluid, and whose diameters…

Fluid Dynamics · Physics 2016-04-20 Nathanaël Machicoane , Romain Volk

We study a model of $ N $ mutually repellent Brownian motions under confinement to stay in some bounded region of space. Our model is defined in terms of a transformed path measure under a trap Hamiltonian, which prevents the motions from…

Probability · Mathematics 2007-05-23 Stefan Adams , Jean-Bernard Bru , Wolfgang Koenig

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Active Brownian particles (ABPs) are termed out to be a successful way of modeling the moving microorganism on the substrate. In recent studies, it is shown that such organisms can sense the characteristics of the substrate. Motivated by…

Soft Condensed Matter · Physics 2023-10-31 Pawan Kumar Mishra , Ajeya Krishna , Shradha Mishra

The Brownian motion of a charged test particle caused by quantum electromagnetic vacuum fluctuations between two perfectly conducting plates is examined and the mean squared fluctuations in the velocity and position of the test particle are…

Quantum Physics · Physics 2009-11-10 Hongwei Yu , Jun Chen

The moment of inertia for nuclear collective rotations is derived within a semiclassical approach based on the Inglis cranking and Strutinsky shell-correction methods, improved by surface corrections within the nonperturbative…

Nuclear Theory · Physics 2019-05-16 D. V. Gorpinchenko , A. G. Magner , J. Bartel , J. P. Blocki

We unveil the key-role of dimensionality in describing chiroptical properties of molecules embedded inside an optical Fabry-P\'erot cavity. For a 2D-layer configuration, we show that the interplay between molecular chirality and spatial…

Optics · Physics 2024-08-05 R. Avriller , C. Genet

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

Soft Condensed Matter · Physics 2016-12-06 Maria Zeitz , Holger Stark

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

We systematically investigate how flagellar morphology governs the stability of bacterial Brownian motion, evaluating the effectiveness of a simplified chiral two-body model. This model, which effectively captures the specific bacterial…

Fluid Dynamics · Physics 2026-03-03 Baopi Liu , Bowen Jin , Lu Chen , Ning Liu

Suspensions of Active Brownian Particles (ABP) undergo motility induced phase separation (MIPS) over a wide range of mean density and activity strength [1], even in the absence of an explicit attraction. Negative values of the mechanical…

Soft Condensed Matter · Physics 2022-02-07 Enrique Chacon , Francisco Alarcon , Jorge Ramirez , Pedro Tarazona , Chantal Valeriani