Functional differentiation under simultaneous conservation constraints (Constrained functional differentiation in statistical physics and hydrodynamics)
Fluid Dynamics
2007-05-23 v4 Statistical Mechanics
Mathematical Physics
Functional Analysis
math.MP
Abstract
Analytical formulae for functional differentiation under simultaneous K-conservation constraints, with K the integral of some function of the functional variable, are derived, making the proper account for the simultaneous conservation of normalization and statistical averages, e.g., possible in functional differentiation in nonvariationally built physical theories, which gets particular relevance for nonequilibrium, time-dependent theories.
Cite
@article{arxiv.physics/0603129,
title = {Functional differentiation under simultaneous conservation constraints (Constrained functional differentiation in statistical physics and hydrodynamics)},
author = {Tamas Gal},
journal= {arXiv preprint arXiv:physics/0603129},
year = {2007}
}
Comments
final version, published in J Phys A; 14 pages; with (34)-(35) and a note after (10) added (to v3)