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Related Experiment Video

Updated: Jun 30, 2025

Accurate Determination of the Equilibrium Surface Tension Values with Area Perturbation Tests

Accurate Determination of the Equilibrium Surface Tension Values with Area Perturbation Tests

Published on: August 30, 2019

When an active bath behaves as an equilibrium one.

Shubhendu Shekhar Khali¹, Fernando Peruani², Debasish Chaudhuri^1,3

¹Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India.

Physical Review. E

|March 16, 2024

Summary

This summary is machine-generated.

Inertia in active Brownian particle systems leads to equilibrium-like behavior, with normal velocity distributions and mass-dependent diffusivity. This contrasts with overdamped systems, restoring the Einstein relation.

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Area of Science:

Statistical Mechanics
Soft Matter Physics
Active Matter Physics

Background:

Active Brownian particles exhibit non-Gaussian velocity distributions in overdamped systems.
Kinetic temperature and diffusion coefficients typically scale with the square of active velocity (v₀²).

Purpose of the Study:

Investigate the impact of inertial effects on active Brownian particle systems.
Analyze how mass influences diffusivity, mobility, and velocity distributions.
Determine if equilibrium properties are recovered in inertial active systems.

Main Methods:

Theoretical analysis of inertial active Brownian particle dynamics.
Derivation of velocity distributions and transport coefficients.
Examination of scaling behaviors with active velocity and particle mass.

Main Results:

Inertial effects lead to normal velocity distributions, unlike overdamped systems.
Kinetic temperature and diffusion coefficient scale as ∼v₀^α (1<α<2).
Late-time diffusivity and mobility decrease with increasing particle mass.
The equilibrium Einstein relation is asymptotically recovered with inertia.

Conclusions:

Inertial mass restores equilibrium-like behavior in active matter systems.
Mass-dependent diffusivity and mobility highlight the role of inertia.
Findings challenge the universal non-Gaussian nature of active particle dynamics.