statistical mechanics mb distribution
TRANSCRIPT
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Clqssico.l brc^fist-t/tl3 DiodbcLtton For",{ [oL.
Con5i4*- c. ^ g n6 .-w.-b ecL tem pe,q*qrs T "1.-
o +- I qbeoL( Pa"ttcieoCL b ctme tkerc c;"y,e r yrrt*,b en o +*"t'b ee-\\ t| .^ the 6 X bt etYjUfineac ae-tt> q,t -0-oet r \e perl t -oleg
r \ \ jl 1?- 5
l\aS c- .rln ac\n f L-ot ff\en f he y\lrvn b era. \e.erp 6tqte i t . h | '-,i l n i l .
oL.rrd br/t- c4n dEA
1 - - o*he the-*o%**i. prop*u;ug q-5%r\ b p
q o , % r 2 a 7 ) -i . ' t \ e . c - e . \ \ l e r o < r "d5 s s c,L l5 t s c ( z c ' r - ^ d - S o g n '
l he r - av e f t " ? q ( f re la in t - th c - ( to { rn-tcru6{q.tc Corve-s?and- *--o
qrn J, n lv u - ? - - t;al l n r .d-o[ o J w = L o A n t - l u 1 i l n t \8"pw = 0-on\ 7 !-nq l
[(,tb n1 6+i.0i n17) tlrc-oYe-rr'\o . / -n A / l"L^W z-n-Vn r' l ^ L h.,(nn;i
lpe- Lc-'rto
3n)
znnL
) { - n v ? n { n n - Z n t { , n |. 5 n .\ G Li -
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l,r/ v/ qnt Obtot i n> (. [qw) otL{4'''w) o-L'^''t'= f t n n - 6 n t f , " , -
O n ? sOtttA\ < t"L"uv) Z> non!'"n{ ot E^ ; ,e^h ;o
(o* ftn is" lAbA b6ste-'r,E gL- -o c r . nL E f 5 - - - . ,
5 a , t 6 ^ y ' . r + Z n oi . d - 1(-f, ; E " ; ? swg '-^dfi VtA ;
, L - - t " , 4 ) e q A _6 n i \ \= f s) e . A r r '- \- L \" ' "1,i b p P I Lalra nA"',' w"&et*t"'i '^ - L".q.{,ri l ;z's )
w Lh".Ye- T ; n - -L ' t t t p 6 t En i " I>n ' -L n i
=ot 'r.
o f; d : qrL q"r!a i tv-ot'2- tl"'a^
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onn r -L^ r (*F- 0 " .E ? - $ e4
4 , 4- t
o { h i = A* P g r 'e
B ei ---2 d = narza ce I J \- ' tL \ r '
_ f te ;e-/i h ; : 4 +lL
h i =1
ipe-d-&', , .q-- Zz--0
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roYn Bol tz--n""rhn)5 l^c-tr fe/^ wLVeveb-b., . 'Fo^Y' o+\"."-Y\b-so= q.L^LY,)"
\ be crrwb\ *_ !o , \L? it Pre*qtn) P=-+Vt=-rly'F-r
fu^ut "+ flve'rvodgtvm)-
v/l\vrc- (.,) i: a {'^^,1i' noLt q' lone--- hJ- ) = P'=n'hr l ,en -Tl?: \ : P -) q-" )r- Tt >v )TVy Cornr,ony v)e- obtai^ Ko= fqbal-*a;^ -****
1'rtlet'rcr O(-> e z - J U
W.
r p d Y
L n W - - f u n n t Z ! - ^ 4 i =an . [ - n n - ) - n r . 0 n n ; a tn t r we k 4 v a
1
n !I n n1"
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n , . z . h f t e ; o y- L4n ff i - !nn --Lnz- f t e- ' 6 rA - 0 ^ > - n ; F e -ng-Q- ' ' i l i n1 9nn -ni ) - '! ^w -nJ-^n T n; lnnr T" ;Unz + TF* t t ' '1.L
= ni-^H*n Z nr nL^z n * (3T ^fn(.n-r \ , [ * 'n + n' [ t 'z + PLQ - n Wn ' ! - n L : P b
b - t o = h L L ^ , . J - L ^ d ' )ssb-So= h- ln (nz - ' rP v- inw" )(+1 .\e \g;) + fttL*), 1 nD u ) u u ' ' n - ? : : , \ ' , ) o \ " : u i t . , , f t l 1' 7 (:)k) "P*El#))B u r z =
I t \ L r ' ' / Y 1'Wq al>c:n; = Toq ty', hq"'-L u ''- -oq-et --e-i ttrzneJ + 6. n.' sr Tnt'=z +6tni crnf,L+.)u=-++,n:1=4ta r r n / > - E ' r t a ? ' l Y , - ' - ( t \ l = k fr1*c-,,",-rLX-+)W"f* h:,it*)rJ{o- ^Y5;*==-rqs r Jb = r * orJ ->-T(+E . t ;';:}kO-5 -__>Q =T 1+-en \- =Fr. e-e"/W pJT