Анизотропные жидкости. Биологические структуры. Петрова Г.П. - 24 стр.

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23
()
2
1
3cos 1
2
Q
ϑ
=−
2
1
cos
3
ϑ
=
0
Q
=
ij
Q
()
0,0,1
n
1
3
ij i j ij
QQnn
δ

=−


,
1,
0,
ij
ij
ij
ij
δ
δ
==
=≠
,
Q
1
00
3
1
00
3
2
00
3
xx yx zx
ij x y y y z y
xz yz zz
nn nn nn
QQnn nn nn
nn nn nn

=− = =



== ==



===


. (6)
ij
Q
()
ξ
-
hibkZgby mihjy^hq_gby \\h^ylky kdZeyjguc iZjZf_lj ihjy^dZ
Q = (3cos 2 ϑ − 1)  _keb cos2 ϑ =          — hjb_glZpby iheghklvx [_k
    1                                    1
    2                                    3
ihjy^hqgZ — Q = 0 — khhl\_lkl\m_l bahljhighc nZa_
    LZd dZd `b^dhdjbklZeebq_kdZy kj_^Z y\ey_lky kms_kl\_ggh
Zgbahljhighc ^ey hij_^_e_gby mihjy^hq_gby bkihevam_lky l_g
ahjguc iZjZf_lj ihjy^dZ Qij — l_gahj \lhjh]h jZg]Z k gme_\uf
ke_^hf
    >ey ^Zevg_cr_c jZ[hlu gZf m^h[g__ \ujZablv baf_g_gb_ hjb
_glZpbb k\yaZggh_ k baf_g_gb_f iZjZf_ljZ ihjy^dZ \ ehdZevghc
kbkl_f_ dhhj^bgZl q_j_a dhfihg_glu ^bj_dlhjZ n (0,0,1)
                     1        δ ij = 1, i = j
    Qij = Q  ni n j − δ ij  ,                 , Q — kdZeyjguc iZjZf_lj
                     3        δ ij = 0, i ≠ j
ihjy^dZ
                                      1                                
                          n x n x = −      n y nx = 0      nz nx = 0 
                                       3
                                                                       
                Qij = Q  nx n y = 0                        nz n y = 0  .
                                                        1
                                           ny n y = −                        (6 )
                                                       3               
                                                                    2
                         nx nz = 0         n y nz = 0      nz nz = 
                                                                   3 
    < bahljhighc nZa_ g_l ^Zevg_]h ihjy^dZ \ gZijZ\e_gbb hjb_g
lZpbb fhe_dme — Qij — bkq_aZ_l H^gZdh _keb jZkkfZljb\Zlv fh
e_dmeu gZ fZeuo fZkrlZ[Zo lh ehdZevgh b \ bahljhighc nZa_ hgb
hklZxlky iZjZee_evgufb ^jm] ^jm]m Wlh ehdZevgh_ mihjy^hq_gb_
kms_kl\m_l \iehlv ^h g_dhlhjh]h oZjZdl_jgh]h jZkklhygby ξ (7 ) gZ
au\Z_fh]h ^ebghc dh]_j_glghklb beb jZ^bmkhf dhjj_eypbb
    >ey hibkZgby nZah\uo i_j_oh^h\ \ qZklghklb gZb[he__ jZk
ijhkljZg_ggh]h i_j_oh^Z g_fZlbq_kdZy nZaZ – bahljhigZy `b^
dhklv bkihevam_lky b^_y l_hjbb nZah\uo i_j_oh^h\ EZg^Zm WlZ
l_hjby [ueZ jZkijhkljZg_gZ gZ `b^db_ djbklZeeu Ihe_f >_-
@_ghf < hkgh\_ wlhc l_hjbb e_`Zl ^\Z hkgh\guo iheh`_gby
     \hafh`ghklv hibkZlv kbkl_fm k ihfhsvx iZjZf_ljZ ihjy^
         dZ
     ZgZeblbqghklv k\h[h^ghc wg_j]bb \ hdj_klghklb nZah\h]h
         i_j_oh^Z