Skip directly to search Skip directly to A to Z list Skip directly to page options Skip directly to site content

NIOSHTIC-2 Publications Search

Search Results

Thermodynamic and differential entropy under a change of variables.

Authors
Hnizdo-V; Gilson-MK
Source
Entropy 2010 Mar; 12(3):578-590
NIOSHTIC No.
20036555
Abstract
The differential Shannon entropy of information theory can change under a change of variables (coordinates), but the thermodynamic entropy of a physical system must be invariant under such a change. This difference is puzzling, because the Shannon and Gibbs entropies have the same functional form. We show that a canonical change of variables can, indeed, alter the spatial component of the thermodynamic entropy just as it alters the differential Shannon entropy. However, there is also a momentum part of the entropy, which turns out to undergo an equal and opposite change when the coordinates are transformed, so that the total thermodynamic entropy remains invariant. We furthermore show how one may correctly write the change in total entropy for an isothermal physical process in any set of spatial coordinates.
Keywords
Analytical-methods; Energy-metabolism; Mathematical-models; Standards; Statistical-analysis; Thermodynamic-reactions; Thermodynamics; Author Keywords: thermodynamic entropy; Shannon entropy; spatial entropy; non-Cartesian coordinates; canonical transformation; Jacobian
Contact
Vladimir Hnizdo, Health Effects Laboratory Division, National Institute for Occupational Safety and Health, Morgantown, WV 26505
CODEN
ENTRFG
Publication Date
20100301
Document Type
Journal Article
Email Address
vhnizdo@cdc.gov
Fiscal Year
2010
NTIS Accession No.
NTIS Price
Issue of Publication
3
ISSN
1099-4300
NIOSH Division
HELD
Source Name
Entropy
State
WV
TOP