Summary
This paper is concerned with the correspondence between the macroscopic electric displacementD and the analogous quantityD m of microscopic derivation. Instead of identifying these two fields one with the other, we will equate them, while the identification of the macroscopic polarization with that of microscopic derivation is retained. The result is a new field equation along with the Maxwell equations.
Similar content being viewed by others
References
H. A. Lorentz:The Theory of Electrons and its Applications to Phenomena of Light and Radiant Heat (B. G. Teubner, Leipzig, 1909).
L. Rosenfeld:Theory of Electrons (North-Holland, Amsterdam, 1951).
G. Russakoff:Am. J. Phys.,38, 1188 (1970).
J. Van Vleck:The Theory of Electric and Magnetic Susceptibilities, 4th edition (Oxford University Press, London, 1952).
J. Voisin:Physica,52, 195 (1959).
F. N. H. Robinson:Macroscopic Electromagnetism (Pergamon Press, Oxford, 1973).
S. R. De Groot:Physica,31, 953 (1965).
P. Mazur andB. R. A. Nijboer:Physica,19, 971 (1953).
F. Sauter:Z. Phys.,126, 207 (1949).
C. B. Kafadar andA. C. Eringen:J. Math. Phys.,11, 984 (1970).
R. Becker andF. Sauter:Electromagnetic Fields and Interactions, Vol. 1 (Blackie, London, 1964).
J. D. Jackson:Classical Electrodynamics (Wiley, New York, N.Y., 1975).
C. B. Kafadar:Int. J. Eng. Sci.,9, 831 (1971).
L. Landau andE. M. Lifshitz:Electrodyamics of Continuous Media (Pergamon Press, Oxford, 1960).
C. J. Bötcher:Theory of Electric Polarization: Dielectrics in Static Fields, Vol.1 (Elsevier, Amsterdam, 1973).
L. Onsager:J. Am. Chem. Soc.,58, 1487 (1936).
H. Demiray andA. C. Eringen:Lett. Appl. Eng. Sci.,1, 517 (1973).
I. Müller:Thermodynamics (Pitman, London, 1985).
C. Kittel:Introduction to Solid State Physics (Wiley, New York, N.Y., 1986).
W. P. Mason:Crystal Physics of Interaction Processes (Academic Press, New York, N.Y., 1966).
O. F. Mossotti:Mem. Mat. Fis. Soc. Ital. Sci. Modena,24, 49 (1850).
R. D. Mindlin:J. Elasticity,2, 217 (1972).
R. A. Toupin:J. Rat. Mech. Anal.,5, 850 (1956).
G. A. Maugin:Acta Mech.,35, 1 (1980).
A. Prechtl:Int. J. Eng. Sci.,18, 665 (1980).
A. Askar, P. C. Y. Lee andA. S. Cakmak:Phys. Rev. B,1, 3525 (1970).
B. Collet:Elastic Dielectrics with Electric Quadrupoles. Recent Developments in the Theory and Application of Generalized and Oriented Media, Calgary, Canada, 1979, edited byP. G. Glockner, M. Epstein andD. J. Malcom (American Academy of Mechanics, Calgary, 1979), p. 205.
C. Trimarco:Int. J. Eng. Sci.,27, 1569 (1989).
C. Trimarco:Int. J. Solids Struct.,29, 1647 (1992).
C. A. Truesdell andR. A. Toupin:Encyclopedia of Physics, Vol. III/1 (Springer, Berlin, 1960).
M. Born andK. Huang:Dynamical Theory of Crystal Lattices (Clarendon Press, Oxford, 1988).
Author information
Authors and Affiliations
Additional information
Work supported by GNFM of CNR and by MURST.
Rights and permissions
About this article
Cite this article
Trimarco, C. How multipole electric moments enter into macroscopic Maxwell equations. Nuovo Cim B 109, 533–540 (1994). https://doi.org/10.1007/BF02728394
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02728394