SCIENTIFIC ABSTRACT PITAYEVSKY, L. P. - PITENKO, N. F.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001341110015-4
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: January 3, 2017
• Document Release Date: August 1, 2000
• Sequence Number: 15
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

21228
S/05 3/61 /073/003/001 /',",4
General theory of the... B125/B201
(r, r,; Ej - 7).60 (r I, r,; W +drs dr, Vav (r, rs; E.) 11,a (r,, ir,-, 1.) x
(r, r,; E.) + ~ dr, dr, T90 (r, r,; E.) rI,,v (r.. r.; E.) Zvp (r, r,;+
+ dr, dr. dr, dr, T6',, (r, r,; t.) npv (rs, r.; E.) T'vx (r, r?; E.) X
x 11jQ (ir, r.; E.) Top (r, r.; E.) +
in an integral equation with respect to t~ having the form
+
+ r.; E.).na (r,. r,; E.) TIV (r.. r.; E.) dr, dr.. (2.9)
In the 1,eneral case there is no expression in a closed form for the
I
;,olijrizzition operator. In the present case of longwave photons, the
Cur(l 5/' 16

General theory of the...
21228
3/05 61/073/005/'00--
B1 25YB201
polarization operator can be expressed by the dielectric constant of the
t~ndy. To calculate the additional term to the energy of a condensed
dkie to the longwave fluctuations of the electromagnetic field, E,
piirt describing the energy of interaction of the particle with the
electromagnetic field3
H - Ho + H int - H0 ALl (r)JU(r)d r-4,
is uep;.rated from the total Hamiltonian of the system. The series of the
Pertur~)ation theory is represented by diagrams of the type of Fig. 7 or
Fii,. 8 for the free energy or the Green function of the longwave photons,
respectively. In the k 0a~'< 1 approximation, only diagrams of the form
of Fir. 7a offer a correction to the free energy. The correspondiriC
uxprt~ijion for the free energy reads Eq. (3-1)
Card 4/16

122"
~;eneral theory of the ...
T dr, dr, A-
+ r1.A (r, r,; En) Z'pv ( r,. r.; E.) Ilya (r3. r,; Ej x
2 ~
x Z:. (r., r,; E.) dr, dr, dr, dr. + + (r, r,;
r,,; r,; J.)dr, dr"+
If the polarization operator 11 r
ik n ki r2P
expressed by the dielectric constant of the body, it 1~-
possible in pririciple to express the curretiponding corrcct~on to *,-.c
erierg
,y by formula (5.1).
~nrd 5/16

General theory of the ...
W
T X'E,
I Rrad p. -4 -A IT, (r. r; E.) grad E -
n-0
T
(3, 17)
d T,
n-0
permit!. the really calculation of the correction to the chemicul
of the body. The.presgure is calculated next. The force
sented by f i ik/ xk with the potk-ntiul tensor
T ej)
O(k P081h -0~ (r. r; +
+ (r, r: (3,24)
2
Card 6/ 16

21228
3/053/61/073/003/001/004
General theory of the ... B125/B201
The equations (3-24) and
4n OQ (3,25)
(Q.17') - CO %7) + (r, r; Ej.
found by I. Ye. Dzyaloshinskiy and L. 1. Pitayavokiy, ZhETF ~6, 1797
19r,9)) solve in principle the problem of calculating the Van cLer 17aa's
~
part of the thermodynamic quantities of a body. The fourth part of the
present paper deals with the molecular forces of interaction between
l'odies. in this connection, the general theory developed abuve is
F,p-lied to the calculation of the Van der 'Naals forces between clogely
t-,p,,roached bodies. The force between the unit area of the tr:o bodies
(,i(,!ia 1 and 2) which are separated by a gap of width I filled with
m t -, 1 1 um 5, i s d es c r i b e d by Eq . (.1 .
Card 7/16

21228
S/053/61/075/003/001//004
General theory of the ... B125/B201
( [ io-,+ ~-)(s --+ 'P~ 0 x P ( ~-P -"
P?
(I I - P (81 -- A +
exp(2pt,, dp, (4,13)
(SL-PF,/e,3)(,I-PF2/ej)C
rAO Wheu,
+ P'. + pl, En 2nnkTIh;
~-i denote functions of the imaginary frequency
Here it r- 2 #
,-) . (,~ - F- Wn)), k being the Boltzmann constant. Summation is done
over the integers n, and the term with n - 0 is to be taken with half
the weight. The general formula and limit cases are then dincuBBed.
Eq. (4-13) can be simplified because the effect of temperature upon the
interuction force between the bodies is generally quite neglieible. The
thus resultin.Z formula (4-14)
Card 8/16

21228
S/053/61/073/003/001/DC4
General theory of the ... B125/B201
PIESCO" (Sl + A (sI + A
a OxP ~d F +
i 1 (81 - A (is - A C
+ (81 + P el/88) (SI+ P es/tO exp ( ~P-' dp dj. (4,14)
[(,I -Pell FI) N-P 92/cl) C
is suited for distances 1