Entropic formulation of relativistic continuum mechanics

Understand

An entropic formulation of relativistic continuum mechanics is developed in the Landau-Lifshitz frame.

• We introduce two spatial scales, one being the small scale representing the linear size of each material particle and the other the large scale representing the linear size of a large system which consists of the material particles and is to linearly regress to the equilibrium.
• We propose a local functional which is expected to represent the total entropy of the larger system and require the entropy functional to be maximized in the process of linear regression.
• We show that Onsager's original idea on linear regression can then be realized explicitly as current conservations with dissipative currents in the desired form.