# Chemokinetic scattering, trapping, and avoidance of active Brownian particles

## TL;DR

This paper develops a theoretical framework for chemokinetic search agents that adjust their movement based on proximity to a target, revealing how different response strategies affect search success.

## Contribution

It introduces a novel theory of chemokinetic search behavior, analyzing how dynamic scattering influences target-finding efficiency in active particles.

## Key findings

- Scattering reduces penetration into high-fluctuation regions, decreasing search success.
- Agents with internal states can exploit scattering to improve target detection.
- Analytic results are derived beyond traditional noise approximations.

## Abstract

We present a theory of chemokinetic search agents that regulate directional fluctuations according to distance from a target. A dynamic scattering effect reduces the probability to penetrate regions with high fluctuations and thus search success for agents that respond instantaneously to positional cues. In contrast, agents with internal states that initially suppress chemokinesis can exploit scattering to increase their probability to find the target. Using matched asymptotics between the case of diffusive and ballistic search, we obtain analytic results beyond Fox' colored noise approximation.