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The dynamics of a tracer molecule near a fluid membrane is investigated, with particular emphasis given to the interplay between the instantaneous position of the particle and membrane fluctuations. It is found that hydrodynamic…

Soft Condensed Matter · Physics 2009-11-11 Thomas Bickel

We computationally study suspensions of slow and fast active Brownian particles that have undergone motility induced phase separation and are at steady state. Such mixtures, of varying non-zero activity, remain largely unexplored even…

Soft Condensed Matter · Physics 2024-07-11 Nicholas J Lauersdorf , Ehssan Nazockdast , Daphne Klotsa

Understanding microstructure in terms of closed-form expressions is an open challenge in nonequilibrium statistical physics. We propose a simple and generic method that combines particle-resolved simulations, deep neural networks and…

Soft Condensed Matter · Physics 2026-01-12 Writu Dasgupta , Suvendu Mandal , Aritra K. Mukhopadhyay , Benno Liebchen

We study reaction-diffusion particle systems with several interaction mechanisms. As the number of particles tends to infinity, the system admits a mean-field limit describing the bulk behaviour. We focus on determining the propagation…

Probability · Mathematics 2026-04-21 Matthieu Jonckheere , Seva Shneer

We investigate the non-equilibrium evolution of ideal Brownian particles confined between two walls, following simultaneous quenches of the temperature and a constant external force. We compute (analytically and in numeric simulations) the…

Statistical Mechanics · Physics 2024-04-23 Hamid Khalilian , Mehrana R. Nejad , Ali G. Moghaddam , Christian M. Rohwer

We present a numerical method that consistently implements thermal fluctuations and hydrodynamic interactions to the motion of Brownian particles dispersed in incompressible host fluids. In this method, the thermal fluctuations are…

Soft Condensed Matter · Physics 2009-11-13 T. Iwashita , Y. Nakayama , R. Yamamoto

We perform a coarse-graining analysis of the paradigmatic active matter model, Active Brownian Particles, yielding a continuum description in terms of balance laws for mass, linear and angular momentum, and energy. The derivation of the…

Soft Condensed Matter · Physics 2019-04-30 Jeffrey M. Epstein , Katherine Klymko , Kranthi K. Mandadapu

This work is motivated by the analysis of ecological interaction networks. Poisson stochastic blockmodels are widely used in this field to decipher the structure that underlies a weighted network, while accounting for covariate effects.…

Applications · Statistics 2019-07-24 Sophie Donnet , Stéphane Robin

The escape rate of a Brownian particle over a potential barrier is accurately described by the Kramers theory. A quantitative theory explicitly taking the activity of Brownian particles into account has been lacking due to the inherently…

Soft Condensed Matter · Physics 2017-02-01 A. Sharma , R. Wittmann , J. M. Brader

A variational Bayesian inference for measured wave intensity, such as X-ray intensity, is proposed in this paper. The data is popular to obtain information about unobservable features of an object, such as a material sample and the…

Machine Learning · Computer Science 2024-11-12 Akinori Asahara , Yoshihiro Osakabe , Yamamoto Mitsuya , Hidekazu Morita

We discuss the dynamics of a Brownian particle under the influence of a spatially periodic noise strength in one dimension using analytical theory and computer simulations. In the absence of a deterministic force, the Langevin equation can…

Statistical Mechanics · Physics 2022-01-28 Davide Breoni , Ralf Blossey , Hartmut Löwen

The pair-distribution function, which provides information about correlations in a system of interacting particles, is one of the key objects of theoretical soft matter physics. In particular, it allows for microscopic insights into the…

Soft Condensed Matter · Physics 2023-07-28 Stephan Bröker , Michael te Vrugt , Julian Jeggle , Joakim Stenhammar , Raphael Wittkowski

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

Hypothesis: Measuring rotational and translational Brownian motion of single spherical particles reveals dissipations due to the interaction between the particle and the environment. Experiments: In this article, we show experiments where…

Soft Condensed Matter · Physics 2023-09-22 Vaibhav Sharma , Florent Fessler , Fabrice Thalmann , Carlos Marques , Antonio Stocco

A study of the diffusion of a passive Brownian particle on the surface of a sphere and subject to the effects of an external potential, coupled linearly to the probability density of the particle's position, is presented through a numerical…

Statistical Mechanics · Physics 2021-08-31 Adriano Valdés Gómez , Francisco J. Sevilla

We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

Statistical Mechanics · Physics 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

We study a branching Brownian motion $Z$ in $\mathbb{R}^d$, among obstacles scattered according to a Poisson random measure with a radially decaying intensity. Obstacles are balls with constant radius and each one works as a trap for the…

Probability · Mathematics 2018-06-04 Mehmet Öz , Mine Çağlar , János Engländer

This study aims to examine experimental conditions in which active particles are forced by their surroundings to move forward and backward in a continuous oscillatory manner. The experimental design is based on using a vibrating…

Soft Condensed Matter · Physics 2023-05-02 Denis Horvath , Cyril Slabý , Zoltán Tomori , Andrej Hovan , Pavol Miskovsky , Gregor Bánó

We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be…

Statistical Mechanics · Physics 2023-08-09 Samuel Cameron , Majid Mosayebi , Rachel Bennett , Tanniemola B. Liverpool

We consider systems of Brownian particles in the space of positive definite matrices, which evolve independently apart from some simple interactions. We give examples of such processes which have an integrable structure. These are related…

Probability · Mathematics 2022-01-12 Neil O'Connell
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