On entropy dynamics for active "Living" particles

Abstract

This paper presents a modeling approach, followed by entropy calculations of the dynamics of large systems of interacting active particles viewed as living-hence, complex-systems. Active particles are partitioned into functional subsystems, while their state is modeled by a discrete scalar variable, while the state of the overall system is defined by a probability distribution function over the state of the particles. The aim of this paper consists of contributing to a further development of the mathematical kinetic theory of active particles.