An overview of entropy principle

Extended Thermodynamics ◽

Basic Assumptions ◽

Entropy Principle ◽

A brief overview of the development from classical linear irreversible thermodynamics to the modern rational thermodynamics with Coleman–Noll and Müller–Liu procedures is presented, emphasizing the basic assumptions and formulation details. The major arguments concerned are the improvement of physical assumptions and mathematical formulation differences. Extended thermodynamics is also briefly commented.

The underdamped Brownian duet and stochastic linear irreversible thermodynamics

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5001187 ◽

2017 ◽

Vol 27 (10) ◽

pp. 104601 ◽

Cited By ~ 10

Author(s):

Karel Proesmans ◽

Christian Van den Broeck

Keyword(s):

Fundamentals of generalized rigidity matrices for multi-layered media

Bulletin of the Seismological Society of America ◽

10.1785/bssa0730030749 ◽

1983 ◽

Vol 73 (3) ◽

pp. 749-763

Author(s):

Maurice A. Biot

Keyword(s):

Plane Strain ◽

Initial Stress ◽

Three Dimensional ◽

Layered Media ◽

Mathematical Structure ◽

Initial Stresses ◽

General Context ◽

Viscoelastic Media ◽

abstract Rigidity matrices for multi-layered media are derived for isotropic and orthotropic layers by a simple direct procedure which brings to light their fundamental mathematical structure. The method was introduced many years ago by the author in the more general context of dynamics and stability of multi-layers under initial stress. Other earlier results are also briefly recalled such as the derivation of three-dimensional solutions from plane strain modes, the effect of initial stresses, gravity, and couple stresses for thinly laminated layers. The extension of the same mathematical structure and symmetry to viscoelastic media is valid as a consequence of fundamental principles in linear irreversible thermodynamics.

The Entropy Principle from Continuum Mechanics to Hyperbolic Systems of Balance Laws: The Modern Theory of Extended Thermodynamics

Entropy ◽

10.3390/e10030319 ◽

2008 ◽

Vol 10 (3) ◽

pp. 319-333 ◽

Cited By ~ 5

Author(s):

Tommaso Ruggeri

Keyword(s):

Continuum Mechanics ◽

Hyperbolic Systems ◽

Extended Thermodynamics ◽

Modern Theory ◽

Balance Laws ◽

Systems Of Balance Laws ◽

Entropy Principle

Complex dynamical phenomena in systems with multiple stationary states at equilibrium and linear irreversible thermodynamics

The Journal of Chemical Physics ◽

10.1063/1.462922 ◽

1992 ◽

Vol 97 (5) ◽

pp. 3869-3870 ◽

Cited By ~ 1

Author(s):

Ru‐Sheng Li

Keyword(s):

Stationary States ◽

Some aspects of linear irreversible thermodynamics in the presence of electromagnetic fields

Acta Mechanica ◽

10.1007/bf01176667 ◽

1969 ◽

Vol 7 (2-3) ◽

pp. 187-198 ◽

Cited By ~ 1

Author(s):

R. P. McNitt ◽

M. M. Stanišić

Keyword(s):

Electromagnetic Fields ◽

Transport of Nonelectrolyte-Water Mixtures through Cellulose Membranes

Zeitschrift für Naturforschung A ◽

10.1515/zna-1977-1001 ◽

1977 ◽

Vol 32 (10) ◽

pp. 1077-1083 ◽

Cited By ~ 3

Author(s):

S. Duckwitz ◽

H. Moraal

Keyword(s):

Transport Properties ◽

Mole Fraction ◽

Phenomenological Coefficients ◽

Cellulose Membranes ◽

Equilibrium Mole Fraction ◽

Measurements of the transport properties of cellulose membranes for the mixtures methanolwater and formamide-water are reported. The measured approach of the mole fractions of the nonelectrolyte to its equilibrium value are interpreted in the framework of linear irreversible thermodynamics in a novel way. The permeabilities of the membranes of the different substances are discussed in terms of phenomenological coefficients. It is shown that these depend on the equilibrium mole fraction in an essential way. A discussion of this effect is given