Geodesic
Projection formalism in the theory of irreversible processes
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 3, pp. 376-387 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A modification is proposed in the formalism of the Brussels school in conjugation with the projection technique; this considerably simplifies the proof of the main results of the theory. The method is used to construct a macroscopic description on a dynamical basis. It is shown that under very general assumptions concerning the nature of the system and the properties of the basic structural elements of the theory (under which subdynamics and synchronization need not hold in the generally adopted sense) the dynamical description goes over on the coarse-grained time scale into a closed, causal macrodescription with exponentially small error. 
@article{TMF_1974_21_3_a8,
     author = {V. P. Vstovskii},
     title = {Projection formalism in the theory of irreversible processes},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {376--387},
     year = {1974},
     volume = {21},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a8/}
}
TY  - JOUR
AU  - V. P. Vstovskii
TI  - Projection formalism in the theory of irreversible processes
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 376
EP  - 387
VL  - 21
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a8/
LA  - ru
ID  - TMF_1974_21_3_a8
ER  - 
%0 Journal Article
%A V. P. Vstovskii
%T Projection formalism in the theory of irreversible processes
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 376-387
%V 21
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a8/
%G ru
%F TMF_1974_21_3_a8
V. P. Vstovskii. Projection formalism in the theory of irreversible processes. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 3, pp. 376-387. http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a8/

[1] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 | MR

[2] I. Prigogine, C. George, F. Henin, Physica, 45 (1969), 418 ; Proc. Nat. Acad. Sci. USA, 65 (1970), 789 | DOI | MR | DOI

[3] S. Nakajima, Progr. Theor. Phys., 20 (1958), 948 | DOI | MR | Zbl

[4] R. Zwanzig, J. Chem. Phys., 33 (1960), 1338 | DOI | MR

[5] R. Balescu, J. Wallenborn, Physica, 54 (1971), 477 | DOI | MR

[6] A. Fulinski, W. J. Kramarczyk, Physica, 39 (1968), 575 | DOI | Zbl

[7] T. Shimisu, J. Phys. Soc. Japan, 28 (1970), 1088 | DOI

[8] V. P. Vstovskii, Phys. Lett., 44A (1973), 283 | DOI | MR

[9] D. V. Anosov, DAN SSSR, 145 (1962), 707 ; 151 (1963), 1210 | MR | Zbl | MR

[10] V. I. Arnold, A. Avez, Ergodic Problems of Classical Mechanics (N. Y.), Amsterdam, 1968 | MR

[11] M. Baus, Bull. Acad. Roy. Belg. Cl. Sci., 53 (1967), 1332 | MR | Zbl

[12] J. W. Turner, Bull. Acad. Roy. Belg. Cl. Sci., 54 (1968), 1526

[13] C. George, Bull. Acad. Roy. Belg. Cl. Sci., 56 (1970), 386