Конспект лекций по статистической физике. Коренблит С.Э - 154 стр.

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                                   |154|
à ¢­ Hc12 = 2I (1    2) (S (1)  S (2)). ‚¢¨¤ã âà ­á«ï樮­­®© ¨­¢ ਠ­â-
­®áâ¨, ®¡¬¥­­ë¥ ¨­â¥£à «ë § ¢¨áïâ ⮫쪮 ®â ¬®¤ã«ï à §­®á⨠¢¥ªâ®à®¢
ᮮ⢥âáâ¢ãîé¨å ã§«®¢ ¨®­­®© à¥è¥âª¨, íä䥪⨢­®¥ ¯®«¥, ¤¥©áâ¢ãî-
饥 ­ ¢ë¤¥«¥­­ë© ᯨ­ S (f ), ¯®«ãç ¥âáï ¯à¨ ãá।­¥­¨¨ ®¯¥à â®à
                              c
         Hc feff = (g1)B SH(fI ) = H + g2B qX6=f I (q f )S(q);
                                                  z
                                                                   (14.62)
§ ¢¨áï饣® ®â ®¯¥à â®à®¢ ¢á¥å ®áâ «ì­ëå ᯨ­®¢. ‚ ¯à¨¡«¨¦¥­¨¨ á।-
­¥£® ¯®«ï ¯à¥¤¯®« £ ¥âáï, çâ® ®â­®á¨â¥«ì­®¥ ¢«¨ï­¨¥ ª ¦¤®£® ®â¤¥«ì-
­®£® \á®á¥¤ " ­ ¢ë¤¥«¥­­ë© ᯨ­ S (f ) ­¥ ¢¥«¨ª®, ¯®â®¬ã, íâ® íä䥪-
⨢­®¥ á।­¥¥ ¯®«¥ ¢®¢á¥ ­¥ ¤®«¦­® § ¢¨á¥âì ®â ã§« à¥è¥âª¨ f . â®
¤®á⨣ ¥âáï § ¬¥­®© ᯨ­ S (q ) ¢ (14.62) á।­¨¬ ᯨ­®¬ S ­ ®¤¨­ ã§¥«
q à¥è¥âª¨ (¢ ®¤­®¬ ¤®¬¥­¥), 㦥 ­¥§ ¢¨áï騬 ®â ¯®«®¦¥­¨ï í⮣® ã§«
¨ á¢ï§ ­­ë¬ á ­ ¬ £­¨ç¥­­®áâìî ᮮ⢥âáâ¢ãî饣® ¤®¬¥­ (14.53):
                                       X
                V M(T; H) (= gB S (f ) = gB NS ; â ª çâ®: (14.63)
                                        f

                S  N1 X S (f ) N=!1 ) <> = Mg(T;nH) ;  (14.64)
                         f                                    B
â.¥. á।­¨© ᯨ­ ¯® à¥è¥âª¥ ¢ â¥à¬®¤¨­ ¬¨ç¥áª®¬ ¯à¥¤¥«¥ N ! 1, á®-
£« á­® ®á­®¢­®¬ã ¯®áâã« âã áâ â¨áâ¨ç¥áª®© 䨧¨ª¨ (1.29){(1.33), (2.18),
ᮢ¯ ¤ ¥â á® áâ â¨áâ¨ç¥áª¨¬ á।­¨¬ (14.52), (14.53) ¯® ­á ¬¡«î ᯨ-
­®¢ ¯à¨ ¤ ­­®© ⥬¯¥à âãॠT , â.ª. à¥è¥âª ᯨ­®¢ ¨ ¥áâì ¨å ­á ¬¡«ì.
    ®áª®«ìªã, ç¨á«® z ¢§ ¨¬®¤¥©áâ¢ãîé¨å á®á¥¤¥© ã ª ¦¤®£® ¨§ ᯨ­®¢
®¤­® ¨ ⮦¥, â® ¤«ï ᯨ­®¢ S = 1=2, { ®¤­®í«¥ªâà®­­ëå ¬ £­¨â­ëå
¨®­­ëå ®¡®«®ç¥ª, g=2, íä䥪⨢­®¥ ¯®«¥ (14.62), ¨ ⥬¯¥à âãà Šîà¨
¨§ (14.57), á ãç¥â®¬ (14.64), ᮮ⢥âá⢥­­®, ¯à¨­¨¬ îâ ¢¨¤:
         <> =) Heff = H + S    z
                                      X
              eff                B q6=0 I (q) = H + M(T; H); (14.65)
                     I z
         £¤¥: =) 2n2  1; ¥á«¨: I z = I (q);
                                              X  z
                                                                (14.66)
                         B                   q 6
                                               =   0

         HcI =) V (M  Heff ) ; TC =)  = n           B =) I :
                                                       2     z
                                                                (14.67)
                                                     k      2k
I z - íä䥪⨢­ë© ®¡¬¥­­ë© ¨­â¥£à « á® ¢á¥¬¨ ¡«¨¦ ©è¨¬¨ á®á¥¤ï¬¨.
      à¨ T = 0; H = 0, £ ¬¨«ìâ®­¨ ­ ƒ¥©§¥­¡¥à£ (14.61), ¬®¦¥â ¯à¨¢®-
¤¨âì ª à §«¨ç­ë¬ ⨯ ¬ ¬ £­¨â­®£® 㯮à冷祭¨ï á í­¥à£¨¥© E0: