Анизотропные жидкости. Биологические структуры. Петрова Г.П. - 50 стр.

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49
222 0
kk q=
—
0
2
qL
π
=
.
n
—
11
k
(splay),
22
k
(twist),
33
k
(bend
–
k
ua
u
—
a
—
u
3
≅
≅
1,4
-13
o
14
a ≈Α
13
6
7
1, 4 1 0
~10
1, 4 1 0
k
−
−
−
⋅
≈
⋅
.
120 °
6
11
0,7 10
k
−
=⋅
,
6
22
0,43 10
k
−
=⋅
,
6
33
1, 7 1 0
k
−
=⋅
.
6
11
5,3 10
k
−
=⋅
,
6
22
2,2 10
k
−
=⋅
,
6
33
7,45 10
k
−
=⋅
.
11 22 33
kkkk
===
,
()()
(
)
22
1
div rot
2
kn nΦ= +
. 
k2 k22 = q0 —      \hegh\hc \_dlhj ohe_kl_jbq_kdhc kibjZeb q0 = 2π L .
Ihkdhevdm n — [_ajZaf_jgZy \_ebqbgZ lh mijm]b_ ihklhyggu_
^_nhjfZpbc k11 (sp la y), k22 (tw ist), k33 (b e n d bf_xl jZaf_jghklv
wg_j]bb ^_e_gghc gZ ^ebgm – wj]kf >^bgZ@
      k bf__l ihjy^hd u a  ]^_ u — wg_j]by \aZbfh^_ckl\by f_`^m
fhe_dmeZfb a — fhe_dmeyjguc jZaf_j
     JZkq_l ihdZau\Z_l qlh _keb u a  ddZefhev  w< 3 D ≅
≅ 1 ,4 Â -1 3 wj] b a ≈ 14 Α  lh
                             o


                               1,4 ⋅ 10 −13 wj]
                           k~                   ≈ 10−6 ^bg .
                                 1,4 ⋅ 10 kf
                                         −7


>ey II: agZq_gby dhgklZgl mijm]hklb baf_j_ggu_ \ g_fZlbq_
kdhc nZa_ ijb 120 °K  jZ\gu
                 k11 = 0,7 ⋅ 10 −6 ^bg ,
                 k22 = 0, 43 ⋅ 10−6 ^bg ,
                 k33 = 1,7 ⋅ 10−6 ^bg .
>ey F;;: khhl\_lkl\_ggh
                 k11 = 5,3 ⋅ 10−6 ^bg ,
                 k22 = 2,2 ⋅ 10−6 ^bg ,
                 k33 = 7,45 ⋅ 10−6 ^bg .
LZdbf h[jZahf g_fZlbq_kdbc djbklZee e_]q_ \k_]h ih^\_j]gmlv
^_nhjfZpbb djmq_gby DZd \b^gh ba jZkq_lZ dhwnnbpb_gl mijm]h
klb ^_nhjfZpbb ijh^hevgh]h ba]b[Z fgh]h [hevr_ hklZevguo
     GZ]ey^gh wlh e_]dh ihgylv _keb jZkkfZljb\Zlv fhe_dmeu \
\b^_ l\_j^uo kl_j`g_c
     >ey dZq_kl\_ggh]h jZkkfhlj_gby bgh]^Z ihevamxlky h^ghdhg
klZglguf ijb[eb`_gb_f
                           k11 = k22 = k33 = k ,

b wg_j]by bkdZ`_gby bf__l \b^ Φ = 1 k ((div n )2 + (rot n )2 ) .
                                   2
    Mijm]b_ ihklhyggu_ beb fh^meb NjZgdZ mqblu\Zxlky ijZdlb
q_kdb ijb \k_o jZkq_lZo mkljhckl\ gZ `b^dbo djbklZeeZo

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