Toward a canonical-Hamiltonian and microscopic field theory of classical liquids

Physica A: Statistical Mechanics and its Applications

Volumn 279, Issue 1, 2000, Pages 45-59

  Choquard, Ph ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; FUNCTIONS; KINETIC THEORY;

BERNOULLI EQUATION; CANONICAL HAMILTONIAN FIELD THEORY; CONTINUITY EQUATION;

STATISTICAL MECHANICS;

EID: 0033745928     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00530-0     Document Type: Article

References (9)

1. A. Clebsch, Über die Integration der hydrodynamischen Gleichungen, Crelle's J. 56 (1859) 1-10.
2. H. Lamb, Hydrodynamics 6th edition, Dover, New York, 1945; par.167: Clebsch's Transformation, Section 167, pp. 248-249.
3. H. Bateman, Partial Differential Equations in Mathematical Physics, Cambridge University Press, Cambridge, 1969, Section 2.52: The equation of motion of an inviscid fluid, pp. 164-165.
4. S.P. Novikov, The Hamiltonian formalism and a many-valued analogue of Morse theory. Russian Math. Surveys 37 (5) (1982) 1-56; Eqs 2.23-2.27, 2.33-2.38, pp. 19-22.
5. V.E. Zakharov, The algebra of integrals of motion of two-dimensional hydrodynamics, Funct. Anal. Appl. 23 (3) (1989) 189-196; Eqs. 4.1-1.8, pp. 192-193.
6. D. Ruelle, Statistical Mechanics, Benjamin, New York, 1969; Section 3.2: Stable interactions.
7. Ph. Choquard, F. Steiner, The story of Van Vleck's and Van Move's determinants, Helv. Phys. Acta 69 (1996) 636-654.
8. A.J. Chorin, J.E. Mardsen, A Mathematical Introduction to Fluid Mechanics, 3rd Edition, Texts in Applied Mathematics, Vol. 4, Springer, Berlin, 1992; Section 2.1: Potential Flow and ch. 3: Gas flow in One Dimension.
9. Ph. Choquard, Phonons, Lectures Notes, EPF Lausanne 1971-1972; Section 3.3: Phonons dans les fluides.