NDLI: Maximum entropy principle revisited

Content Provider	Springer Nature Link
Author	Dreyer, Wolfgang Kunik, Matthias
Copyright Year	1998
Abstract	We study the effect of the Maximum Entropy Principle (MEP) on the thermodynamic behaviour of gases. The MEP relies on the kinetic theory of gases and yields the local constitutive equations of Extended Thermodynamics. There are two extreme cases on the scale of the kinetic theory: Dominance of particle interactions and free flight. In its current form the MEP gives the phase density that maximizes the entropy at each instant of time. This is appropriate in case of dominant particle interaction but it is not adequate for free flight. Here we introduce a modified MEP that is capable to link both extreme cases. To illustrate the way the modified MEP works, we consider an example which leads in the case of dominant particle interactions to the Euler equations. In addition there results a representation theorem that contains the global solutions of the Euler equations with all shock interactions for arbitrary large variations of the initial data.
Starting Page	331
Ending Page	347
Page Count	17
File Format	PDF
ISSN	09351175
Journal	Continuum Mechanics and Thermodynamics
Volume Number	10
Issue Number	6
e-ISSN	14320959
Language	English
Publisher	Springer-Verlag
Publisher Date	1998-12-01
Publisher Place	Berlin Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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Maximum entropy principle revisited