Анизотропные жидкости. Биологические структуры. Петрова Г.П. - 37 стр.

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36
W
34
10 ,10
W
CO
0,12
D
µ
=
W
4
10
W
.
12
1/
Wr
.
Maier–Saupe
α
.
ϑ
α
||zn
.
22 2
11 3
3cos 1 2 cos 1 1 sin
22 2
Q
ϑϑ ϑ
=−= =
,
1
Q
=
,
2
sin 0
ϑ
=
,
0
Q
=
,
2
sin 2/3
ϑ
=
.
i
W
i-
||an
an
2
1(32)sin
i
ϑ
.
guc \deZ^ \ wg_j]bx \aZbfh^_ckl\by \ghkbl hjb_glZpbhggh_
\aZbfh^_ckl\b_ — Whj  >ey fhe_dme k g_[hevrbf ^bihevguf fh
f_glhf wg_j]by ^bki_jkbhggh]h \aZbfh^_ckl\by fh`_l [ulv gZ
g_kdhevdh ihjy^dh\ \ 103 ,104 jZa ij_\urZlv Whj  >ey fhe_dme
C O µ = 0,12D  b W^bki \ 10 jZa [hevr_ q_f Whj .
                                4



     Kbeu hllZedb\Zgby – dhjhldh^_ckl\mxsb_ Hgb \hagbdZxl
ijb \aZbfghf ijhgbdgh\_gbb we_dljhgguo h[eZdh\ fhe_dme
Wg_j]by hllZedb\Zgby Whl ≈ 1/ r12 .

        L_hjby FZc_jZ–AZmi_
   GZ hkgh\_ mq_lZ ^bki_jkbhggh]h \aZbfh^_ckl\by ihkljh_gZ ijh
klZy n_ghf_gheh]bq_kdZy l_hjby FZc_jZ– AZmi_ M a ie r– S a u p e gZb
[he__ mihlj_[ey_fZy b gZ]ey^gZy
    JZkkfZljb\Z_lky kbkl_fZ `_kldbo fhe_dme k ^ebgghc hkvx α .
Iheh`_gb_ dZ`^hc fhe_dmeu fh`_l [ulv aZ^Zgh h^gbf m]ehf ϑ
f_`^m _^bgbqguf \_dlhjhf α b hkvx z || n .
    >ey oZjZdl_jbklbdb mihjy^hq_gby \ kbkl_f_ bkihevam_lky kdZ
eyjguc iZjZf_lj ihjy^dZ
        1                  1               3
     Q=    3cos2 ϑ − 1 = 2 cos2 ϑ − 1 = 1 − sin 2 ϑ ,
        2                  2               2
     Q =1,        sin 2 ϑ = 0 ,
     Q = 0,        sin 2 ϑ = 2 / 3 .

       >ey \aZbfh^_ckl\by fhe_dme jZkkfZljb\Z_lky ijb[eb`_gb_
ZgZeh]bqgh_ ijb[eb`_gbx kj_^g_]h fhe_dmeyjgh]h ihey ^ey n_j
jhfZ]g_lbdh\ Mq_klv \k_ ^bki_jkbhggu_ kbeu k dhlhjufb ^_ckl
\mxl ^jm] gZ ^jm]Z fhe_dmeu \ f_ahnZa_ g_\hafh`gh ihwlhfm \
^Zgghf kemqZ_ wlh lZd gZau\Z_fh_ ijb[eb`_gb_ ©kZfhkh]eZkh\Zg
gh]hª ihey JZkkfZljb\Z_lky wnn_dlb\guc ihl_gpbZe Wi i- c fhe_
dmeu gZ dhlhjmx ^_ckl\mxl \k_ ^jm]b_ kn_jbq_kdb_ kbff_ljbqgh
jZkiheh`_ggu_ fhe_dmeu ijb wlhf wnn_dlu [eb`g_]h ihjy^dZ g_
mqblu\Zxlky  Wnn_dlb\guc ihl_gpbZe aZ\bkbl hl hjb_glZpbb
Ijb wlhf fbgbfmf ihl_gpbZeZ \ g_fZlbq_kdhc nZa_ khhl\_lkl\m_l
a || n  Z fZdkbfmf — a ⊥ n  < bahljhighc nZa_ ihl_gpbZe jZ\_g 
LZdZy m]eh\Zy aZ\bkbfhklv bf__l \b^ 1 − (3 2)sin 2 ϑi .

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