Thermodynamical entropy (and its additivity) within generalized thermodynamics

✍ Scribed by M.P. Almeida

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 158 KB
• Volume: 325
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(03)00262-0

✦ Synopsis

This is an analysis of the thermodynamical entropy of systems with ÿnite heat baths and of its additivity. It is presented an expression for the physical entropy of weakly interacting ergodic systems, and it is shown how it relates to the traditional entropies of the micro-canonical (constant energy), the canonical Boltzmann-Gibbs (inÿnite heat bath) and the Tsallis (ÿnite heat bath) ensembles. This physical entropy contains one term that is a variant of the Tsallis entropy, and it becomes an additive function after a suitable choice of additive constants, in a procedure reminiscent to the solution presented by Gibbs to the paradox bearing his name.