Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-08
Phys.Rev.E84:026315,2011
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 5 figures; v2: discussions on reversible processes are improved; v3: added references, to appear in Physical Review
Scientific paper
10.1103/PhysRevE.84.026315
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. We demonstrate the effectiveness of this formulation by showing that one can treat a wide class of relativistic continuum materials, including standard relativistic viscous fluids and relativistic viscoelastic materials.
Fukuma Masafumi
Sakatani Yuho
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