Information and helix mechanism of entropy increase

Abstract

The principle of entropy increase not only constitutes the basis of statistical mechanics but is also closely related to the irreversibility of time, the origin of life, chaos, and turbulence. In this paper, by discussing the definition of the dynamic system of entropy from the perspective of symbols and partition of information, the entropy transfer characteristics based on the set partition are proposed. By introducing the hypothesis of limited measurement accuracy into the dynamic system with continuous phase space, two necessary mechanisms for the formation of chaos are obtained, namely, the transfer of entropy from small scale to macro-scale and the dissipation of information in macroscale. Furthermore, the relationship between the increase in local entropy and the Lyapunov exponent of the dynamic system is established. Then the entropy increase and abnormal dissipation mechanism of helical waves in fluid and general physical systems are discussed.