
!" # $"" !
"% &'(")" %# " "*" *'+)'+,-
.-/0123-
4 "# %≤567"" '&'"*
'!*8" (9 '&')*'!))$
: ;$ , $*, -4 <% =* " 8"
(9&'! > Π-?> @/A
!"#$%&'(
)
4)B&')"*)/:
" !* '8*" *+
5C558";"B <%+* "&*D
= =
ρ
γ
?ΩE6A?@/A-
4)%%Dρ@)&*Ω-E6
ρ*C/F$FGΩ-E6γ*CHIEΩ-
ρJCI/$HΩ-E6γJCI/$KEΩ-
LD4?A-
6 5≠55 >D
)C)5M/Nα?@5AO?ΩE6A ?@A
αD &' )-αJCα*C5$55G5@/-
)5D) '8*" *+-
1% *(%,)∼≠)C- !&'PCH5Q&
&: ": ':+?≈/RA: # "% +)∼C)C <%"'
"?@/A-
*+#$(,
)
: )/6;%" !*: ,')#)
"";';$8";"B <%"' "D
= = +
π µ
Ω?@IA-
> D@/
3E
S
3E

!
"#
4)%%D
T@"?A-
P@4!&'?QA-
1@6 %"" )*> > %8"U"" ?A-
V@W:# ,?A-
µ@&' +?EA-
µ"*"":%*: ' '+"% +(9µ::
µCµ::C5$Gπ/5@XC/$H-/5@XE?@GA-
4 ?@GA%?@IA"%D
= + Ω?@HA-
1 * *'8"%: %"" U"" ;"B <%+* "D
=
?@XA-
Y1')#D1C/$X1- @-
Y1')#"!*D1C1-> @I
Z+* "?@IA"% +D
;5C;[5N;[[5?@KA-
4)%%D
V
1
/GG$5;
5
$=\ 5/X$5/H55;
$
$
5==
µ
-
1%;[5 * *'8"%: %"" " %;[5 &%;[[5
4 ;[5C5$IX@5$GΩE:-
6 ,')#: '';$: U"" : '
(9 *-+: (]" *"* %B,+
%)B: "*"" (9 *?> @GA-: ""
&*: %B8";"B <%"' "U*-
+;5?∆^>∆^CI_;A"% +1 %("(V-1%
1 * *'8"%" %*1 >: '%
: %"" "" >"! (V"*,(9""
-
1/1
1I
> D@
1/1
1I
> D@I

""
6 %:# (`)B"*, 8";"B <%
+* "&*D
$$ %% −
= ?@FA-
4)%%D@a'"*'8 -
)@W:# ""*',-
V@W:# "*%)%=*""b "*""
%?""b "*: *B BA-
7#*: '8 CG&8(): **'"
M"O >
%$$ =$%%D
% =
= ?@cA-
: "* %8";"B <%+* "D
A:E?
5/X
$
5
V
1
/GG$5;
5Ω+= ?@/5A-
-&./#$%&'((
)
4'+ "'&*%"" : '': '(]"%
+%=*" **%!=*-7!=* * *'8"D
$ ,$ !* : : # =*+- 7! =* " b ;*
"%d≥//567$: "'8))!(,≥
567E"-+'+ !=*"% +&*"" &*D
(,$ %$*,)',-^*B
, % +) & !=*',"
&*D7dC//567 >L≥K5 ?C/5@//A$dC567 >L≥
G5?CA-6 "")B&'%) >: #
%"% +%=*,-,"*)/:D
A:-E/?
d
e
:
5Ω
∆
= ?@//A-
I
/
> D@G-
/
I
I
/

!
"&
∆e:@4'+ "'&*"*%!=*?fE:A-
d@B ""*?7A-
0&./1+#"*+#$(2
)
, : %*U"", *
,'%-4* %)B*U,' %
)%# %%=*-
*"*,# <%+* "D
=−
?LE6A?@/A-
, : "*D
A:-E/?/5
V
1
HF
$
K
X
55 Ω== −
ω
?@/IA-
4)%%DωCπPPCH5Q-
1D6 %"" )*> > %8""" # <%?@XA-
VDW:# (`)B,# <%"' "?@FA-
a'!"*** & )%
*-'&* : %*& )D
^"CI_"dCId5Cd5?g7J)A ?@/GA
1*,"*# * *'8"%: %"" U""
,:# "*,-'&* : %&
) * *'8" !*%"*-1, %"*U
(*"*-
'): 'd ≥//567$"d≥
567"!;<)B5)%&'! # %"*-
'"""%" !*hI556$d≤567: # %
" '8""**&'! &')*-4
*&'! > Π"" &')*&*D
SC?)5Ni;5A-CVNij ?@/HA-
3EC/E?5Ni5A-C/E?NiWA?@/XA-
'&*"%?d≥II567A"*U"% +&*&
'! ' &' )* * " !* : ' ?≤
I55:A* :=*# %" b!*-'"%
" !*kI55:)%=*)> # %&* '
&')U '%8" <%" !*"*-

"'
7l1dm@/Dj"B &'): '//567$
/55:$J@/H5')#)b "*"!*" H-
_JZ_D@1%'+ !=*)//567 %%
=*,5$4 <%""W@$W@I$W@G>8"D
)5C5$/ΩE6\
;5C5$G/ΩE6\
5C$KG-/5@X/EΩ-6\
4%# 8"""
&'"*D
VC)5-C5$/-/55C/Ω-
jC;5-C5$G/-/55CG/Ω-
WC5-C$KG-/5@X-/55CKG-/5@X/EΩ-
a'! " %) > @H
7l1dm@Dj"B &')5$;5$5 "*): '
H5567$*, %%Jn@I;H55-W,(
)( (`(9$: %"" U"" /$: %""
U"",)%'8 CG5"-
_JZ_D4 <% **"W@',Jn@H55"%)5/C
5$5XHΩE6$:# ,CI5$-7>,', 8"
I$" %)B"*', (9D
)5C
= =
ΩE6-
W:# ""*',,(9D
VC
= =
W:# (`)B"*,)%', (9D
VC
===
−
−
%
% -
6 %"" )*> > %8"U"" D
1C/$X-1C/$X-/C/H$/C/H/55-
: )/:(9D
;5C I5$5
I
5/X
$
5
/IG
/H/55
/GG$5
5/X
$
5
V
1
/GG$5
=+=+ ΩE6-
, : BD
5C
−
−
−
= =
6
-
/
Ω
> D@H
iWE
iWE
SCVNij

