Biot's papers closely related to Gibbs paradox

Biot, M.A. New Fundamental Concepts and results in thermodynamics with chemical applications. Chemical Physics 1977, 22, 183-198. (listed as paper 156 at http://www.pmi.ou.edu/Biot2005/biotConferenceBiotsPapers.htm).

Biot, M.A. Variational-Lagrangian irreversible thermodynamics of initially-stressed solids with thermomolecular diffusion and chemical reactions. Journal of the Mechanics and Physics of Solids 1977, 25, 289-307, and Errata, vol. 26, pp. 59, 1978. (listed as paper 157 at http://www.pmi.ou.edu/Biot2005/biotConferenceBiotsPapers.htm). See in particular page 291.

Biot, M.A. New Variational-Lagrangian Thermodynamics of Viscous Fluid Mixtures with Thermomolecular Diffusion. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 1979, 365, 467-494. (listed as paper 163 at http://www.pmi.ou.edu/Biot2005/biotConferenceBiotsPapers.htm).

(To obtain a copy in pdf form, contact me, lin@mdpi.org)


Biot's thermodynamics papers (list prepared on 18 April 2008)

 1.
 
Title: NEW VARIATIONAL-LAGRANGIAN IRREVERSIBLE THERMODYNAMICS WITH APPLICATION TO VISCOUS-FLOW, REACTION DIFFUSION, AND SOLID MECHANICS
Author(s): BIOT MA
Source: ADVANCES IN APPLIED MECHANICS   Volume: 24   Pages: 1-91   Published: 1984
Times Cited: 12
 2.
 
Title: THERMODYNAMIC PRINCIPLE OF VIRTUAL DISSIPATION AND THE DYNAMICS OF PHYSICAL-CHEMICAL FLUID MIXTURES INCLUDING RADIATION PRESSURE
Author(s): BIOT MA
Source: QUARTERLY OF APPLIED MATHEMATICS   Volume: 39   Issue: 4   Pages: 517-540   Published: 1982
Times Cited: 1
 3.
 
Title: GENERALIZED LAGRANGIAN THERMODYNAMICS OF THERMORHEOLOGY
Author(s): BIOT MA
Source: JOURNAL OF THERMAL STRESSES   Volume: 4   Issue: 3-4   Pages: 293-320   Published: 1981
Times Cited: 2
 4.
 
Title: NEW VARIATIONAL-LAGRANGIAN THERMODYNAMICS OF VISCOUS-FLUID MIXTURES WITH THERMOMOLECULAR DIFFUSION
Author(s): BIOT MA
Source: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES   Volume: 365   Issue: 1723   Pages: 467-494   Published: 1979
Times Cited: 3
 5.
 
Title: VARIATIONAL IRREVERSIBLE THERMODYNAMICS OF PHYSICAL-CHEMICAL SOLIDS WITH FINITE DEFORMATION
Author(s): BIOT MA
Source: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES   Volume: 14   Issue: 11   Pages: 881-903   Published: 1978
Times Cited: 1  
 6.
 
Title: VARIATIONAL IRREVERSIBLE THERMODYNAMICS OF HEAT AND MASS-TRANSFER IN POROUS SOLIDS - NEW CONCEPTS AND METHODS
Author(s): BIOT MA
Source: QUARTERLY OF APPLIED MATHEMATICS   Volume: 36   Issue: 1   Pages: 19-38   Published: 1978
Times Cited: 8
 7.
 
Title: VARIATIONAL-LAGRANGIAN THERMODYNAMICS OF EVOLUTION OF COLLECTIVE CHEMICAL SYSTEMS
Author(s): BIOT MA
Source: CHEMICAL PHYSICS   Volume: 29   Issue: 1-2   Pages: 97-115   Published: 1978
Times Cited: 3
 8.
 
Title: VARIATIONAL-LAGRANGIAN IRREVERSIBLE THERMODYNAMICS OF INITIALLY-STRESSED SOLIDS WITH THERMOMOLECULAR DIFFUSION AND CHEMICAL-REACTIONS
Author(s): BIOT MA
Source: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS   Volume: 25   Issue: 4   Pages: 289-307   Published: 1977
Times Cited: 10
 9.
 
Title: VARIATIONAL LAGRANGIAN-THERMODYNAMICS OF NONISOTHERMAL FINITE STRAIN MECHANICS OF POROUS SOLIDS AND THERMOMOLECULAR DIFFUSION
Author(s): BIOT MA
Source: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES   Volume: 13   Issue: 6   Pages: 579-597   Published: 1977
Times Cited: 47  
 10.
 
Title: NEW FUNDAMENTAL-CONCEPTS AND RESULTS IN THERMODYNAMICS WITH CHEMICAL APPLICATIONS
Author(s): BIOT MA
Source: CHEMICAL PHYSICS   Volume: 22   Issue: 2   Pages: 183-198   Published: 1977
Times Cited: 9  
 11.
 
Title: VARIATIONAL THERMODYNAMICS OF VISCOUS COMPRESSIBLE HEAT-CONDUCTING FLUIDS
Author(s): BIOT MA
Source: QUARTERLY OF APPLIED MATHEMATICS   Volume: 34   Issue: 4   Pages: 323-329   Published: 1977
Times Cited: 4
 12.
 
Title: VARIATIONAL-LAGRANGIAN IRREVERSIBLE THERMODYNAMICS OF NONLINEAR THERMO-RHEOLOGY
Author(s): BIOT MA
Source: QUARTERLY OF APPLIED MATHEMATICS   Volume: 34   Issue: 3   Pages: 213-248   Published: 1976
Times Cited: 8
 13.
 
Title: NEW CHEMICAL THERMODYNAMICS OF OPEN SYSTEMS - THERMOBARIC POTENTIAL, A NEW CONCEPT
Author(s): BIOT MA
Source: BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE   Volume: 62   Issue: 4   Pages: 239-258   Published: 1976
Times Cited: 10
 14.
 
Title: VIRTUAL DISSIPATION PRINCIPLE AND LAGRANGIAN EQUATIONS IN NONLINEAR IRREVERSIBLE THERMODYNAMICS
Author(s): BIOT MA
Source: BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE   Volume: 61   Issue: 1   Pages: 6-30   Published: 1975
Times Cited: 9
 15.
 
Title: THERMOELASTIC BUCKLING - UNSTABLE THERMODYNAMIC-EQUILIBRIUM AT MINIMUM ENTROPY
Author(s): BIOT MA
Source: BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE   Volume: 60   Issue: 2   Pages: 116-140   Published: 1974
Times Cited: 3
 16.
 
Title: NONLINEAR THERMOELASTICITY, IRREVERSIBLE THERMODYNAMICS AND ELASTIC INSTABILITY
Author(s): BIOT MA
Source: INDIANA UNIVERSITY MATHEMATICS JOURNAL   Volume: 23   Issue: 4   Pages: 309-335   Published: 1973
Times Cited: 9
 17.
 
Title: GENERALIZED VARIATIONAL PRINCIPLES FOR CONVECTIVE HEAT TRANSFER AND IRREVERSIBLE THERMODYNAMICS
Author(s): BIOT MA
Source: JOURNAL OF MATHEMATICS AND MECHANICS   Volume: 15   Issue: 2   Pages: 177-&   Published: 1966
Times Cited: 3
 18.
 
Title: LAGRANGIAN THERMODYNAMICS OF HEAT TRANSFER IN SYSTEMS INCLUDING FLUID MOTION
Author(s): BIOT MA
Source: JOURNAL OF THE AEROSPACE SCIENCES   Volume: 29   Issue: 5   Pages: 568-577   Published: 1962
Times Cited: 13
 19.
 
Title: VARIATIONAL AND LAGRANGIAN THERMODYNAMICS OF THERMAL CONVECTION - FUNDAMENTAL SHORTCOMINGS OF THE HEAT-TRANSFER COEFFICIENT
Author(s): BIOT MA
Source: JOURNAL OF THE AEROSPACE SCIENCES   Volume: 29   Issue: 1   Pages: 105-106   Published: 1962
Times Cited: 0
 20.
 
Title: THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS
Author(s): BIOT MA
Source: JOURNAL OF APPLIED PHYSICS   Volume: 27   Issue: 3   Pages: 240-253   Published: 1956
Times Cited: 394  
 21.
 
Title: DEFORMATION OF VISCOELASTIC PLATES DERIVED FROM THERMODYNAMICS
Author(s): BIOT MA
Source: PHYSICAL REVIEW   Volume: 98   Issue: 6   Pages: 1869-1870   Published: 1955
Times Cited: 2
 22.
 
Title: VARIATIONAL PRINCIPLES IN IRREVERSIBLE THERMODYNAMICS WITH APPLICATION TO VISCOELASTICITY
Author(s): BIOT MA
Source: PHYSICAL REVIEW   Volume: 97   Issue: 6   Pages: 1463-1469   Published: 1955
Times Cited: 103