Non-equilibrium behavior in self-driven systems

Abstract

The primary objective of statistical physics is to explain the behaviors of a macroscopic system by starting its description from the microscopic level. Undoubtedly, the most successful branch of this subject is its equilibrium counterpart, which is quite old and well-established with its foundations and formalisms. It is well known that the equilibrium of a macroscopic system is ensured by the principle of the detailed balance. It states that the net current between any two points in the con- guration space is zero if the system is in equilibrium. If the net current is non-zero in the same case, then the system is in non-equilibrium for which there is no widelyaccepted framework like equilibrium exist in the literature. Besides that, the variety of non-equilibrium systems and the richness of emergent phenomena therein makes the subject interest growing in time.