ReviewEntropy (Basel, Switzerland)2022
Diffusion Coefficient of a Brownian Particle in Equilibrium and Nonequilibrium: Einstein Model and Beyond.
Review in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Analytical Solutions for a Charged Particle with White, Thermal, and Active Noises in the Presence of a Uniform Magnetic Field.Entropy (Basel, Switzerland) · 2026Article
- Plasmonic Brownian Ratchets for Directed Transport of Analytes.Nano letters · 2026Article
- Preparation and evaluation of Dendrobium formosum extract-loaded microemulsions for anti-aging purpose.Scientific reports · 2025Article
- Intermediate scattering function of colloids in a periodic laser field.Soft matter · 2025Article
- Giant increase of diffusion by small rise of friction.Scientific reports · 2025Article
- On the Stochastic Motion Induced by Magnetic Fields in Random Environments.Entropy (Basel, Switzerland) · 2025Article
- Matter-Aggregating Systems at a Classical vs. Quantum Interface.Entropy (Basel, Switzerland) · 2025Article
- Magnetic Resonance Imaging Biomarkers of Muscle.Tomography (Ann Arbor, Mich.) · 2024Review
- Analysis of Structural Changes of pH-Thermo-Responsive Nanoparticles in Polymeric Hydrogels.Gels (Basel, Switzerland) · 2024Article
- Memory Corrections to Markovian Langevin Dynamics.Entropy (Basel, Switzerland) · 2024Article
- Diffusiophoretic Behavior of Polyelectrolyte-Coated Particles.Langmuir : the ACS journal of surfaces and colloids · 2024Article
- Effect of Polymer Aging on Uptake/Release Kinetics of Metal Ions and Organic Molecules by Micro- and Nanoplastics: Implications for the Bioavailability of the Associated Compounds.Environmental science & technology · 2023Article
- Ergodic Measure and Potential Control of Anomalous Diffusion.Entropy (Basel, Switzerland) · 2023Article
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Authors and funding
4 authors.
Funding
Abstract
The diffusion of small particles is omnipresent in many processes occurring in nature. As such, it is widely studied and exerted in almost all branches of sciences. It constitutes such a broad and often rather complex subject of exploration that we opt here to narrow our survey to the case of the diffusion coefficient for a Brownian particle that can be modeled in the framework of Langevin dynamics. Our main focus centers on the temperature dependence of the diffusion coefficient for several fundamental models of diverse physical systems. Starting out with diffusion in equilibrium for which the Einstein theory holds, we consider a number of physical situations outside of free Brownian motion and end by surveying nonequilibrium diffusion for a time-periodically driven Brownian particle dwelling randomly in a periodic potential. For this latter situation the diffusion coefficient exhibits an intriguingly non-monotonic dependence on temperature.
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