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Applicability of effective pair potentials for active Brownian particles.
1Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7-9, 55128, Mainz, Germany.
The European Physical Journal. E, Soft Matter
|September 16, 2016
Summary
This study shows that effective pair potentials for active Brownian particles only work within a narrow range of parameters. Beyond this, active particles display unique non-equilibrium behaviors not captured by simple potentials.
Area of Science:
- Physics
- Soft Matter Physics
- Statistical Mechanics
Background:
- Active Brownian particles (ABPs) are a model system for self-propelled entities.
- A recent scheme proposed an effective pair potential to model ABPs.
- Understanding ABP interactions is crucial for soft matter and statistical mechanics.
Purpose of the Study:
- To investigate the validity of a proposed effective pair potential for active Brownian particles.
- To compare simulations of active Brownian particles with passive particles using the effective potential.
- To determine the range of applicability for the effective pair potential scheme.
Main Methods:
- Case study applying the effective pair potential scheme to the Lennard-Jones potential.
- Numerical simulations of active Brownian particles.
- Numerical simulations of passive Brownian particles interacting via the effective pair potential.
- Analysis of static pair correlations and virial pressure.
Main Results:
- Quantitative or qualitative agreement between active and effective potential simulations was found only within a limited range of activity parameters (speed and orientational correlation time).
- Virial pressure showed qualitatively different behavior even for small propulsion speeds.
- The effective pair potential fails to capture the behavior of active particles beyond linear response.
Conclusions:
- The proposed effective pair potential has a limited range of validity for active Brownian particles.
- Active particles exhibit genuine non-equilibrium properties not described by effective pair interactions alone.
- The scheme is insufficient for describing the complex behaviors of active matter beyond simple approximations.
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