Precisely controlled colloids: A playground for path-wise non-equilibrium physics

Fuente: arXiv
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Autori principali: Dieball, Cai, Satalsari, Yasamin Mohebi, Zuccolotto-Bernezb, Angel B., Egelhaaf, Stefan U., Escobedo-Sánchez, Manuel A., Godec, Aljaž
Natura: Preprint
Pubblicazione: 2024
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author Dieball, Cai
Satalsari, Yasamin Mohebi
Zuccolotto-Bernezb, Angel B.
Egelhaaf, Stefan U.
Escobedo-Sánchez, Manuel A.
Godec, Aljaž
author_facet Dieball, Cai
Satalsari, Yasamin Mohebi
Zuccolotto-Bernezb, Angel B.
Egelhaaf, Stefan U.
Escobedo-Sánchez, Manuel A.
Godec, Aljaž
contents We investigate path-wise observables in experiments on driven colloids in a periodic light field to dissect selected intricate transport features, kinetics, and transition-path time statistics out of thermodynamic equilibrium. These observables directly reflect the properties of individual paths in contrast to the properties of an ensemble of particles, such as radial distribution functions or mean-squared displacements. In particular, we present two distinct albeit equivalent formulations of the underlying stochastic equation of motion, highlight their respective practical relevance, and show how to interchange between them. We discuss conceptually different notions of local velocities and interrogate one- and two-sided first-passage and transition-path time statistics in and out of equilibrium. Our results reiterate how path-wise observables may be employed to systematically assess the quality of experimental data and demonstrate that, given sufficient control and sampling, one may quantitatively verify subtle theoretical predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2410_07026
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Precisely controlled colloids: A playground for path-wise non-equilibrium physics
Dieball, Cai
Satalsari, Yasamin Mohebi
Zuccolotto-Bernezb, Angel B.
Egelhaaf, Stefan U.
Escobedo-Sánchez, Manuel A.
Godec, Aljaž
Soft Condensed Matter
Statistical Mechanics
We investigate path-wise observables in experiments on driven colloids in a periodic light field to dissect selected intricate transport features, kinetics, and transition-path time statistics out of thermodynamic equilibrium. These observables directly reflect the properties of individual paths in contrast to the properties of an ensemble of particles, such as radial distribution functions or mean-squared displacements. In particular, we present two distinct albeit equivalent formulations of the underlying stochastic equation of motion, highlight their respective practical relevance, and show how to interchange between them. We discuss conceptually different notions of local velocities and interrogate one- and two-sided first-passage and transition-path time statistics in and out of equilibrium. Our results reiterate how path-wise observables may be employed to systematically assess the quality of experimental data and demonstrate that, given sufficient control and sampling, one may quantitatively verify subtle theoretical predictions.
title Precisely controlled colloids: A playground for path-wise non-equilibrium physics
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2410.07026