Preview
Unable to display preview. Download preview PDF.
References
P. Liberman and C. M. Marle, Sympletic Geometry and Analytical Mechanics, D. Reided Publ. Comp. (1987).
V.I. Arnold, Les méthodes mathématiques de la mécanique classique, Edition Mir, Moscou (1976).
H.B. Callen, Thermodynamics, Wiley, N.Y. (1963).
J.H. Weiner, Statistical Mechanics of Elasticity, J. Wiley (1983).
L. Boltzmann, in Wissenchaftlichen Abhandlungen von Ludwig Boltzmann Vol. 2, N.Y. Chelsea (1968).
J.G. Kirkwood, in Documents in Modern Physics, edited by P.L. Auer, Gordon and Breach, N.Y. (1967).
R.B. Bird, O. Hassager, R.C. Armstrong and C.F. Curtiss, Dynamics of Polymeric Fluids, Vol. 2, Wiley, N.Y. (1987).
M. Doi and S.F. Ewards, The Theory of Polymer Dynamics, Oxford Calderon Press (1986).
J.W. Gibbs, Collected Works, Longmans, Green Comp. N.Y. (1978).
V.I. Arnold, Lecture given at the Gibbs Symposium, Yale Univ. May (1989).
J.W. Gibbs, Elementary Principles of Statistical Mechanics, Dover (1960).
T. Morita and K.Hiroike, Prog. Theor. Phys. 25, 537 (1964).
C. de Dominics, J. Math. Phys.8 983 (1962), C. deDominics and P. Martin, J. Math. Phys 15,14 (1964).
M.S. Green, in Cargèse Lectures in Theoretical Physics, edited G. B. Jancovici, Gordon and Breach (1966).
R.D. Levin and M. Tribus, editors, Maximum Entropy Formalism, MIT Cambridge (1979).
R. Hermann, Geometry, Physics and Systems, Marcel Dekker N.Y. (1973).
F. Weinhold, J. Chem. Phys. 88, 2479 (1975), 65,559 (1976).
P. Salamon, E. Ihring and R.S. Berry, J. Math. Phys. 24, 2515 (1983).
M. Grmela, in Hamiltonian Systems, Transformation Groups and Spectral Transform Methods, eds. J. Harnad and J.E. Marsden, Les Publications CRM, Université de Montréal(1990).
L. Onsager, Phys. Rev. 37, 405 (1931), 88, 2265 (1931).
H.G. Casimir, Rev. Mod. Phys. 17,343 (1945).
J.J. Moreau, C.R. Acad. Sci. Paris 271, 608 (1970).
D.G.B. Edelen, Int. J. Eng. Sci. 10, 481 (1972).
N.G. van Kampen, Physica A 67,1 (1973).
P.J. Morrison and J.M. Greene, Phys. Rev. Lett. 45, 790 (1980).
A. Clebsh, J. Reine Angew. Math 56, 1 (1895).
D.D. Holm, J.E. Marsden, T. Ratiu and A. Weinstein, Phys. Reports, 123, 1 (1985).
M. Grmela, Contemp. Math. 28, 125.
A.N. Kaufman, Phys. Lett. A. 100, 419 (1984).
P.J. Morrison, Phys. Lett. A 100, 423 (1984), Physica D, 18, 410 (1986).
M. Grmela, Physica D, 21, 179 (1986).
M. Grmela, Phys. Lett. A 130, 81 (1988).
M. Grmela, J. Phys. A: Math. & Gen. 22, 4375 (1989).
B.J. Edwards, A.N. Beris and M. Grmela, J. Non Newtonian Fluid Mech. 35, 51 (1990).
B.J. Edwards, A.N. Beris and M. Grmela, Mol. Cryst. Liquid Cryst. (to appear). B.J. Edwards, A.N. Beris, M. Grmela and R. Larson, J. NonNewtonian Fluid Mech. 36, 243 (1990).
M. Grmela and G. Lebon, J. Phys. A: Math & Gen. 23, 3341 (1990).
M. Grmela, in Polymer Rheology and Processing, eds A.A. Collyer and L.A. Utracki, Elsevier (to appear).
R. Salmon, Ann. Rev. Fluid Mech. 20, 225 (1988).
K. Yano and S. Ishilara, Tangent and Cotangent Bundles, Marcel Dekker (1973).
V.I. Arnold, Dokl. Acad. Nauk Math. 165, 773 (1965).
M. Grmela, J. Rheol. 33, 207 (1989).
A. Ait-Kadi, P.J. Carreau and M. Grmela, Rheol. Acta 27,241 (1988).
M. Grmela and Chhon Ly, Phys Letters A. 120, 281 (1987); Spatial Nonuniformities in Lyotropic Liquid Crystals, Prepint, École Polytechnique de Montreal, January (1988).
P.J. Carreau and M. Grmela, Contribution in this Proceedings.
T. Aubry, P. Navard and M. Grmela, Rheol. Acta (submitted).
A. Ajji, P.J. Carreau, M. Grmela and H.P. Schreiber, J. Rheol. 33, 401 (1989).
J.L. Ericksen, Trans. Soc. Rheol. 5, 23 (1961).
F.M. Leslie, Proc. R. Soc.London Ser. A 307, 359 (1968).
J.E. Mardsen and A. Weinstein, Physica D 4, 394 (1982)
A. Silberger and W.Kuhn, J. Polym. Sci. 13, 21 (1954).
C. Rangel-Nafaile, A.B. Metzner and K.F. Wissburn, Macromol. 17,1187 (1984).
B.A. Wolf, Macromol. 17,615 (1984).
D. Jou, Thermodynamics under Flow (Critical review), École Polytechnique de Montreal, July 1990.
M. Grmela, J. Chem. Phys. 85, 5689 (1986).
M. Grmela, in Trends in Applications of Mathematics to Mechanics, eds. J.F. Besseling and W. Eckhaus, Springer (1988) (pp. 329–342).
W. Muschik, J. Noneq. Thermod. 4, 277 (1979).
S. Chapman and J.G. Cowling, Mathematical Theory of Non-Uniform Gases, Cambridge (1952).
P.H. van Wiechen and H. C. Booij, J. Eng.Math. 5, 89 (1971).
A.S. Lodge and Y.J. Wu, Rheol. Acta 10, 539 (1971).
G. Marrucci, Trans. Soc. Rheol. 16, 321 (1972).
I. Prigogine, Étude thermodynamique des phénomènes irréversible, Deover, France (1974).
S.R. de Groot and P. Mazur, Non Equilibrium Thermodynamics, Amsterdam: North Holland, (1962)
I. Willer, Thermodynamics, Pitman, London (1985).
D. Jou, J. Casas-Vazquez and G. Lebon, Rep. Prog. Phys. 51, 1105 (1988).
L.S. Garcia-Colin, Rev. Mex. Fisica 34, 3244 (1989).
R.E. Nettleton and E.S. Freidkin, Physica A, 158, 672 (1989).
M. Grmela and D.Jou, J.Phys. A: Math & General (submitted).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Grmela, M. (1991). Mesoscopic dynamics and thermodynamics: Applications to polymeric fluids. In: Casas-Vázquez, J., Jou, D. (eds) Rheological Modelling: Thermodynamical and Statistical Approaches. Lecture Notes in Physics, vol 381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53996-4_37
Download citation
DOI: https://doi.org/10.1007/3-540-53996-4_37
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53996-4
Online ISBN: 978-3-540-46569-0
eBook Packages: Springer Book Archive