#### Filter Results:

#### Publication Year

2004

2013

#### Co-author

#### Key Phrase

#### Publication Venue

Learn More

1 Abstract This study critically analyses the information-theoretic, axiomatic and combinatorial philosophical bases of the entropy and cross-entropy concepts. The combinatorial basis is shown to be the most fundamental (most primitive) of these three bases, since it gives (i) a derivation for the Kullback-Leibler cross-entropy and Shannon entropy… (More)

- Robert K. Niven
- 2009

This study examines a new formulation of non-equilibrium thermodynamics, which gives a conditional derivation of the " maximum entropy production " (MEP) principle for flow and/or chemical reaction systems at steady state. The analysis uses a dimen-sionless potential function φ st for non-equilibrium systems, analogous to the free energy concept of… (More)

- Robert K. Niven
- 2004

The exact Maxwell-Boltzmann (MB), Bose-Einstein (BE) and Fermi-Dirac (FD) entropies and probabilistic distributions are derived by the combinatorial method of Boltzmann, without Stirling's approximation. The new entropy measures are explicit functions of the probability and degeneracy of each state, and the total number of entities, N. By analysis of the… (More)

- ‹
- 1
- ›