Indian Institute of Science Education and Research Mohali
Exploring auto-chemotactic random walk: Single and collective behavior
Active matter, comprises systems that are out of equilibrium driven at individual scale by their internal energy or their local environment. Auto-chemotaxis represent one such active process where each individual modifies the chemical field in their locality and this further drives the collective motion of the system. We studied the trajectory of a single particle where the dynamics is governed by its chemical environment and vice versa. The phase diagram in the deposition and the evaporation rate of the chemical shows a structural transition from an extended coil state to a collapsed globule state. We developed a mean field theory following Keller-Segel model for chemotaxis and this shows good agreement with the simulation results. Further, we incorporate many particles in our system and observe emergent phenomena evolving from the indirect interaction among them via their local chemical environment.