Proposal for an Extension of Negentropy by Kullback-Leibler Information : 4th Report, Capacity of Negentropy

Abstract

The capacity of negentropy is the maximum negentropy that a system can have. For example, the negentropy contained by a cylinder-piston system becomes larger as the piston is moved inward, but practically it has a maximum, namely, the capacity of negentropy. Generally, capacity represents a certain type of macroscopic order (capacity-type of order) which comes from the relation between molecules, and without this type of order, negentropy cannot beheld by a system. Capacity-type of order is regarded as a pattern which has the property of recovering its origin in thermodynamic situations, and the order may be destroyed by negentropy which exceeds the capacity. Although nonequilibrium-type of order, which is represented by negentropy, differs from the capacity-type of order, they are intimately related with each other. The general definition of the capacity is made in a statistical-mechanical manner based on negentropy defined by Kullback-Leibler information.