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We study interacting systems of linear Brownian motions whose drift vector at every time point is determined by the relative ranks of the coordinate processes at that time. Our main objective has been to study the long range behavior of the…

Probability · Mathematics 2008-01-22 Soumik Pal , Jim Pitman

The flow of ideas has been extensively studied by physicists, psychologists, and machine learning engineers. This paper adopts specific tools from microrheology to investigate the similarity-based flow of ideas. We introduce a random walker…

Computation and Language · Computer Science 2023-08-01 Debayan Dasgupta

Brownian motion in confinement and at interfaces is a canonical situation, encountered from fundamental biophysics to nanoscale engineering. Using the Lorenz-Mie framework, we optically record the thermally-induced tridimensional…

Soft Condensed Matter · Physics 2021-07-14 Maxime Lavaud , Thomas Salez , Yann Louyer , Yacine Amarouchene

It is known that a full description of Brownian motion in the entire course of time should incorporate both kinetic and hydrodynamic effects, but a formula accounts for both effects has been established only in three dimension and only for…

Statistical Mechanics · Physics 2018-02-13 Hanqing Zhao , Hong Zhao

Brownian motion is a ubiquitous physical phenomenon across the sciences. After its discovery by Brown and intensive study since the first half of the 20th century, many different aspects of Brownian motion and stochastic processes in…

Statistical Mechanics · Physics 2020-01-29 Ralf Metzler

Using the method of Brownian dynamics, we investigate the dynamic properties of a 2d suspension of active disks at high P\'eclet numbers using active microrheology. In our simulations the tracer particle is driven either by a constant or an…

Soft Condensed Matter · Physics 2021-09-24 M. Knezevic , L. E. Aviles Podgurski , H. Stark

This article describes an exemplary robot exercise which was conducted in a class for mechatronics students. The goal of this exercise was to engage students in scientific thinking and reasoning, activities which do not always play an…

Physics Education · Physics 2012-05-18 Juan Pablo Carbajal , Dorit Assaf , Emanuel Benker

In the last 20 years, active matter has been a very successful research field, bridging the fundamental physics of nonequilibrium thermodynamics with applications in robotics, biology, and medicine. This field deals with active particles,…

Soft Condensed Matter · Physics 2022-09-12 Angelo Barona Balda , Aykut Argun , Agnese Callegari , Giovanni Volpe

While it is very common to model diffusion as a random walk by assuming memorylessness of the trajectory and diffusive step lengths, these assumptions can lead to significant errors. This paper describes the extent to which a physical…

Statistical Mechanics · Physics 2025-08-07 Ludovico Cademartiri

We describe a simple, low-cost experiment and corresponding pedagogical strategies for studying fluids whose viscosities depend on shear rate, referred to as non-Newtonian fluids. We developed these materials teaching for the Compass…

Physics Education · Physics 2012-12-13 D. R. Dounas-Frazer , J. Lynn , A. M. Zaniewski , N. Roth

Brownian motion has served as a pilot of studies in diffusion and other transport phenomena for over a century. The foundation of Brownian motion, laid by Einstein, has generally been accepted to be far from being complete since the late…

Statistical Mechanics · Physics 2017-06-06 Hanqing Zhao , Hong Zhao

We study the movement of the living organism in a band form towards the presence of chemical substrate based on a system of partial differential evolution equations. We incorporate the Einstein's method of Brownian motion to deduce the…

Dynamical Systems · Mathematics 2022-02-01 Rahnuma Islam , Akif Ibragimov

The Brownian motion of a test particle interacting with a quantum scalar field in the presence of a perfectly reflecting boundary is studied in (1 + 1)-dimensional flat spacetime. Particularly, the expressions for dispersions in velocity…

Quantum Physics · Physics 2014-09-02 V. A. De Lorenci , E. S. Moreira , M. M. Silva

In this paper we discuss the use of sensors incorporated in mobile devices as possible mobile laboratories at the service of teaching experimental sciences. Mobile devices, smartphones, tablets, laptops, microbit cards, are a resource for…

Physics Education · Physics 2019-01-17 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

The impact of inquiry-based instruction on the improvement of content knowledge of electricity and wave properties in two studies was the subject of this investigation. Groups of pre-college and undergraduate students performed a series of…

Physics Education · Physics 2020-12-11 Fernando Espinoza

The nonequilibrium activity taking place in a living cell can be monitored with a tracer embedded in the medium. While microrheology experiments based on optical manipulation of such probes have become increasingly standard, we put forward…

Soft Condensed Matter · Physics 2014-10-31 Étienne Fodor , Kiyoshi Kanazawa , Hisao Hayakawa , Paolo Visco , Frédéric van Wijland

The Brownian motion in water-ethanol mixtures exhibits abnormally large displacements. Using falling-ball viscometry applied to colloidal particles, we experimentally verified that no anomaly exists in the viscosity coefficient of the…

Soft Condensed Matter · Physics 2025-03-14 Ken Judai , Satoshi Shibuta , Kazuki Furukawa

Navigation of microorganisms is controlled by internal processes ultimately sensitive to mechanical or chemical signaling encountered along the path. In many natural environments, such as porous soils or physiological ducts, motile species…

Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simple model of Brownian particles interacting by pursuit and…

Statistical Mechanics · Physics 2009-11-13 Pawel Romanczuk , Iain D. Couzin , Lutz Schimansky-Geier

This workshop aims to demonstrate how the Tracker Video Analysis and Modeling Tool engages, enables and empowers teachers to be learners so that we can be leaders in our teaching practice. Through this workshop, the kinematics of a falling…

Physics Education · Physics 2012-07-03 Loo Kang Wee , Tat Leong Lee