Phase Separation Of Binary Complex Fluid And Evolution Of Cooperation Among Individuals Through Molecular Dynamics

Molecular Dynamics (MD) simulation, widely applied to the simulation of physical and biological systems, is a computation method to reflect the trajectories of moving things and a useful complement to experiments under confinement conditions. In this paper, we study the phase separation of a binary complex fluid and the evolution of cooperation among interacting individuals using molecular dynamics.Firstly the pattern formation of a binary two-dimensional complex fluid is studied. Using correlation functions for the two components and direct imaging method, the structural features of various patterns are investigated. The phase separation diagram on size ratio and concentration is obtained, which consists of a homogeneous phase and a non-homogeneous phase divided into a single-cluster phase and a multi-clusters phase. The comparison with the theoretical estimation shows that the present results contain more interesting information on the structure of phase separation.Meanwhile since phase separation is analogue to the preference among individuals, we also investigate social science problems using physical models. Using molecular dynamics simulation we study the evolution of cooperation among individuals by adopting the typical strategy of prisoner's dilemma in game theory, in which it is found that spatial structures enhance cooperation. This is quite different from Nash equilibrium that defector is stable in evolution. The result is a mata-phase between regular grid model and complex network model, and the introduced"activity of player T *"makes our simulation much more close to real world problems.