An objection to using entropy as a primitive concept in continuum thermodynamics

1977 ◽  
Vol 27 (1-4) ◽  
pp. 251-255 ◽  
Author(s):  
W. A. Day
Keyword(s):  
Continuum Thermodynamics ◽  
Primitive Concept

STATISTICAL ORIGIN OF SPECIAL AND DOUBLY SPECIAL RELATIVITY

2013 ◽  
Vol 23 ◽  
pp. 373-378
Author(s):  
PETR JIZBA ◽  
FABIO SCARDIGLI
Keyword(s):  
Brownian Motion ◽  
Special Relativity ◽  
Coarse Graining ◽  
Relativistic Motion ◽  
Relativistic Dynamics ◽  
Compton Wavelength ◽  
Primitive Concept ◽  
Short Scale ◽  
Doubly Special Relativity ◽  
First Time

We show how a Brownian motion on a short scale can originate a relativistic motion on scales larger than particle's Compton wavelength. Special relativity appears to be not a primitive concept, but rather it statistically emerges when a coarse graining average over distances of order, or longer than the Compton wavelength is taken. Our scheme accommodates easily also the doubly special relativistic dynamics. A previously unsuspected, common statistical origin of the two frameworks is brought to light for the first time.

scholarly journals Second Law and Non-Equilibrium Entropy of Schottky Systems --Doubts and Verification--

2018 ◽  
Author(s):  
Wolfgang Muschik
Keyword(s):  
Open Systems ◽  
Embedding Theorem ◽  
Contact Temperature ◽  
Second Law ◽  
Molar Entropy ◽  
Primitive Concept ◽  
Historical Remark ◽  
Clausius Inequality ◽  
Non Equilibrium

Meixner's historical remark in 1969 "... it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined...." is investigated from today's insight. Several statements --such as the three laws of phenomenological thermodynamics, the embedding theorem and the adiabatical uniqueness-- are used to get rid of non-equilibrium entropy as a primitive concept. In this framework, Clausius inequality of open systems can be derived by use of the defining inequalities which establish the non-equilibrium quantities contact temperature and non-equilibrium molar entropy which allow to describe the interaction between the Schottky system and its controlling equilibrium environment.

Variational Formulation of the First Principle of Continuum Thermodynamics

2009 ◽  
Vol 22 (3) ◽  
pp. 177-187 ◽  
Author(s):  
Giovanni Romano ◽  
Marina Diaco ◽  
Raffaele Barretta
Keyword(s):  
Variational Formulation ◽  
First Principle ◽  
Continuum Thermodynamics

Dense Suspension Flows: a Mathematical Model Consistent with Thermodynamics

2021 ◽  
Author(s):  
Vladimir Shelukhin ◽  
Vladimir Neverov
Keyword(s):  
Mass Concentration ◽  
Mass Force ◽  
Continuum Thermodynamics ◽  
Flux Vector ◽  
Virtual Mass ◽  
Suspension Flows ◽  
Dense Suspension ◽  
Dense Suspensions ◽  
Archimedes Force ◽  
Particle Mass Concentration

Abstract We address the flows of dense suspensions of particles within the framework of two-velocity continuum. Thermodynamics of such a continuum is developed by the method suggested in the papers of L. D. Landau and I. M. Khalatnikov. As an application, we consider the convective settling problem. We capture the Boycott effect and prove that the enhanced sedimentation occurs in a 10 tilted vessel due to vortices. We do not call on additional interphase forces like the Stokes drag, the virtual mass force, the Archimedes force, the Basset-Boussinesq force and etc. Instead, we apply a generalized Fick's law for the particle mass concentration flux vector.

Definitions: the primitive concept of logics or The Leśniewski–Tarski legacy

2002 ◽  
Vol 401 ◽  
pp. 1-184 ◽  
Author(s):  
E. G. K. López-Escobar ◽  
Francisco Miraglia
Keyword(s):  
Primitive Concept
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