Анизотропные жидкости. Биологические структуры. Петрова Г.П. - 32 стр.

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31
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aZ nemdlmZpbc iZjZf_ljZ ihjy^dZ jZkk_ygb_ k\_lZ bf__l ZghfZev
gh_ l_fi_jZlmjgh_ ih\_^_gb_
     @D \ bahljhighc nZa_ jZkk_b\Z_l k\_l agZqbl_evgh keZ[__ q_f
\ g_fZlbq_kdhc h^gZdh ih kjZ\g_gbx k jZkk_ygb_f \ h[uqguo
`b^dhklyo jZkk_ygb_ \ @D gZfgh]h \ur_ Wlh dZd jZa b h[mkeh\
e_gh gZebqb_f nemdlmZpbhgguo ^\mij_ehfeyxsbo h[eZkl_c –
[_kihjy^hqgh jZkiheh`_gguo Zgbahljhiguo pb[hlZdkbq_kdbo
]jmii JZaf_ju wlbo pb[hlZdkbq_kdbo ]jmii bf_xl ihjy^hd jZ^bm
kZ dhjj_eypbb ξ (T )  < hdj_klghklb T = T c l_fi_jZlmjZ i_j_oh^Z
bahljhigZy `b^dhklv – g_fZlbq_kdZy nZaZ ξ (T ) ≅ 200 Å , qlh ijb
f_jgh jZ\gh  ^ebgZf fhe_dme \ h[eZklb dhjj_eypbb —
pb[hlZdkbq_kdhc ]jmii_ bf__lky a  fhe_dme  >ebgZ dhjj_ey
pbb ξ << λ — ^ebgu \hegu \b^bfh]h]h k\_lZ ihwlhfm bgl_gkb\
ghklv jZkk_ygby g_ aZ\bkbl hl m]eZ gZ[ex^_gby jwe__\kdh_ jZk
k_ygb_ 
     :fieblm^Z jZkk_ygby k\_lZ \ g_dhlhjhf ehdZevghf h[t_f_
ijhihjpbhgZevgZ nemdlmZpbyf l_gahjZ ^bwe_dljbq_kdhc ijhgb
pZ_fhklb ε ij  dhlhjuc hij_^_ey_lky fbdjhkdhibq_kdbf l_gahjhf
iZjZf_ljZ ihjy^dZ Qij  Bgl_gkb\ghklv jZkk_ygby fh`gh \ujZablv

                  I = c∫
                               ))& ))&
                           Q ( R )Q ( R ) e
                                                & )))&
                                              ( ik R1,2 )
                                                              )))&
                                                            d R1,2 ,
                               1          2

      &   \hegh\hc \_dlhj jZkk_yggh]h k\_lZ R1, R2 — jZ^bmku-
a^_kv k )))&
                                                                       ))& ))&

\_dlhju R1,2 — jZkklhygb_ f_`^m ijhba\hevgufb lhqdZfb h[t_
fZ c – g_dhlhjZy ihklhyggZy
                    )&
                              R bf__l ihjy^hd ξ ( R ≥ ξ  Nmgdpby
dhjj_eypbb Q(0)Q( R)  kh]eZkgh l_hjbb Hjgrl_cgZ– P_jgbd_
bf__l \b^
                                   )&    e− R / ξ
                       Q(0)Q( R) ≈ const          .
                                           R

LZd dZd R ≈ ξ << λ  lh ijb[eb`_ggh kR ≈ 0 ( k = 2π ).
                                                  λ
    >ey bgl_gkb\ghklb jZkk_ygby fh`gh gZibkZlv ke_^mxs__ \u
jZ`_gb_                                 & ))))&
                             ))&        ))&   (ik R1,2 ) )))&
                 I = c ∫ Q( R1)Q( R2 ) e                d R1,2 ,
                        e− R / ξ
                 I = c∫          4π R 2dR,
                          R

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