p124

Fluctuation and fluid dynamics: footnote 11 addendum

“Within the framework of linear irreversible thermodynamics, the equation is natural.” A summary may be found in Introductory Nonequilibrium Statistical Thermodynamics 5.2.5 (see xxx password = NST05I+II)

A recommended set of introduction to fluid dynamics (may not be quite updated)

The author likes D. J. Tritton,  Physical Fluid Dynamics , 2nd edition (Oxford UP, 1988) + G. K. Batchelor,  An Introduction to Fluid Dynamics (Cambridge UP, 1970); the former is from the physics side and the latter from the applied mathematics side). A textbook of numerical fluid dynamic should be added. For example, R. Peyret and T. D. Taylor,  Computational Method for Fluid Flow (Springer, 1983).