A feature in deriving the Gibbs distribution from the entropy maximum principle

2017 ◽  
Vol 72 (5) ◽  
pp. 126-127
Author(s):  
A. M. Shmatkov
Keyword(s):  
Maximum Principle ◽  
Gibbs Distribution ◽  
Entropy Maximum

Implications of the entropy maximum principle

1988 ◽  
Vol 56 (6) ◽  
pp. 560-561 ◽  
Author(s):  
E. Kazes ◽  
P. H. Cutler
Keyword(s):  
Maximum Principle ◽  
Entropy Maximum

scholarly journals A Hydrodynamic Model for Transport in Semiconductors without Free Parameters

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 527-532 ◽  
Author(s):  
P. Falsaperla ◽  
M. Trovato
Keyword(s):  
Monte Carlo ◽  
Distribution Function ◽  
Maximum Principle ◽  
Energy Flux ◽  
Hydrodynamic Model ◽  
Entropy Maximum ◽  
Monte Carlo Computation ◽  
Submicron Devices ◽  
Stress Energy ◽  
Free Parameters

We derive, using the Entropy Maximum Principle, an expression for the distribution function of carriers as a function of a set of macroscopic quantities (density, velocity, energy, deviatoric stress, energy flux). Given the distribution function, we obtain, for these macroscopic quantities, a hydrodynamic model in which all the constitutive functions (fluxes and collisional productions) are explicitely computed starting from their kinetic expressions. We have applied our model to the simulation of some onedimensional submicron devices in a temperature range of 77–300 K, obtaining results comparable with Monte Carlo. Computation times are of order of few seconds for a picosecond of simulation.

Extremum Principles

2019 ◽  
pp. 184-194
Author(s):  
Robert H. Swendsen
Keyword(s):  
Free Energy ◽  
Maximum Principle ◽  
Total Energy ◽  
Composite System ◽  
Minimum Principle ◽  
Maximum Principles ◽  
Energy Minimum ◽  
Total Entropy ◽  
Entropy Maximum ◽  
Internal Constraint

This chapter derives the energy minimum principle from the entropy maximum principle. It postulates and consider the consequences of extensivity. From this are further derived minimum principles for the Helmholtz free energy, enthalpy, and Gibbs free energy. Because of its importance in engineering, exergy is also introduced, and the exergy minimum principle is justified. Analogously to these minimum principles, maximum principles can be derived for the Massieu functions from the entropy maximum principle. For the analysis of the entropy maximum principle, we isolated a composite system and released an internal constraint. Since the composite system was isolated, its total energy remained constant. The composite system went to the most probable macroscopic state after release of the internal constraint, and the total entropy went to its maximum.

scholarly journals Connection of Subjective Entropy Maximum Principle to the Main Laws of Psych

2014 ◽  
Vol 2 (3) ◽  
pp. 59-65 ◽  
Author(s):  
Kasianov Vladimir Aleksandrovich ◽  
Goncharenko Andriy Viktorovich
Keyword(s):  
Maximum Principle ◽  
Entropy Maximum
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