Entropy of Open System with Infinite Number of Conserved Links

Abstract

Energy budget of open system is a critical aspect of its existence. Traditionally, at applying of energy continuity equation (ECE) for description of a system, ECE is considered as a declaration of local balance in the mathematical (infinitesimal) vicinity for the only point of interest and as such it does not contribute to entropy. In this paper, we consider transformation of ECE to account the effects in the physical (finite) vicinity with infinite number of energy links with environment. We define parameters of appropriate phase space and calculate Shannon’s, differential, and thermodynamic entropy. Shannon’s and differential entropies look sufficiently close while thermodynamic entropy demonstrates close character of variation in its functionality being different in its mathematical form. Physical applications to confirm contribution of a new concept to the real-world processes are also discussed.

Keywords

• Information uncertainty
• Shannon’s entropy
• thermodynamic entropy
• continuity equation
• energy exchange

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