Brownian motion

Fractional Brownian Motions, Fractional Noises and Applications

Benoît B. Mandelbrot, John W. Van Ness

Citations: 7678 • 1968

A Monte-Carlo algorithm for path planning with many degrees of freedom

Jérôme Barraquand, J.-C. Latombe

Citations: 243 • 2002

Active particles induce large shape deformations in giant lipid vesicles

Hanumantha Rao Vutukuri, Masoud Hoore, Clara Abaurrea-Velasco, Lennard van Buren, Alessandro Dutto, Thorsten Auth, Dmitry A. Fedosov, Gerhard Gompper, Jan Vermant

Citations: 223 • 2020

Permanent fluidic magnets for liquid bioelectronics

Xun Zhao, Yihao Zhou, Yang Song, Jing Xu, Justin Li, Trinny Tat, Guorui Chen, Song Li, Jun Chen

Citations: 125 • 2024

Chemically-powered swimming and diffusion in the microscopic world

Yifei Zhang, Henry Hess

Citations: 124 • 2021

Self-assembly of robotic micro- and nanoswimmers using magnetic nanoparticles

U Kei Cheang, Min Jun Kim

Citations: 64 • 2015

Time-dependent inertia of self-propelled particles: The Langevin rocket

Alexander R. Sprenger, Soudeh Jahanshahi, A. V. Ivlev, Hartmut Löwen

Citations: 55 • 2021

Digital colloids: reconfigurable clusters as high information density elements

Carolyn L. Phillips, Eric Jankowski, Bhaskar Jyoti Krishnatreya, Kazem V. Edmond, Stefano Sacanna, David G. Grier, David J. Pine, Sharon C. Glotzer

Citations: 54 • 2014

A Swarm Robotic Exploration Strategy Based on an Improved Random Walk Method

Bao Pang, Yong Song, Chengjin Zhang, Hongling Wang, Runtao Yang

Citations: 49 • 2019

Gyrotactic bioconvection stratified flow of magnetized micropolar nanoliquid configured by stretchable radiating surface with Joule heating and viscous dissipation

M. Waqas, Muhammad Sadiq, Haitham M. S. Bahaidarah

Citations: 41 • 2022

Exploiting compositional disorder in collectives of light-driven circle walkers

Frank Siebers, Ashreya Jayaram, Peter Blümler, Thomas Speck

Citations: 37 • 2023

Exact Spatiotemporal Dynamics of Confined Lattice Random Walks in Arbitrary Dimensions: A Century after Smoluchowski and Pólya

Luca Giuggioli

Citations: 37 • 2020

Scalable modular self-reconfigurable robots using external actuation

Paul White, Mark Yim

Citations: 35 • 2007

Nanoscale feedback control of six degrees of freedom of a near-sphere

Mitsuyoshi Kamba, Ryoga Shimizu, K. Aikawa

Citations: 35 • 2023

Stochastic Control for Orientation and Transportation of Microscopic Objects Using Multiple Optically Driven Robotic Fingertips

Quang Minh Ta, Chien Chern Cheah

Citations: 33 • 2019

Stochastic Dynamic Trapping in Robotic Manipulation of Micro-Objects Using Optical Tweezers

Yan Xiao, Chien Chern Cheah, Quang Minh Ta, Quang‐Cuong Pham

Citations: 27 • 2016

Uncovering Universal Characteristics of Homing Paths using Foraging Robots

Somnath Paramanick, Arup Biswas, Harsh Soni, A. Pal, Nitin Kumar

Citations: 26 • 2024

Robotic Exploration, Brownian Motion and Electrical Resistance

Israel A. Wagner, Michael Lindenbaum, Alfred M. Bruckstein⋆

Citations: 24 • 1998

Multi-agent Control for Stochastic Optical Manipulation Systems

Quang Minh Ta, Chien Chern Cheah

Citations: 23 • 2020

Evaluation of traversability of wheeled mobile robots on uneven terrains by fractal terrain model

Yasuyoshi Yokokohji, Satoshi Chaen, T. Yoshikawa

Citations: 21 • 2004