Конспект лекций по статистической физике. Коренблит С.Э - 97 стр.

‹¥ªæ¨ï 10
ˆ¤¥ «ì­ë© ª¢ ­â®¢ë© £ §
1    ‘¢ï§ì ¤ ¢«¥­¨ï á ¢­ãâ७­¥© í­¥à£¨¥© £ §
   ‚ ª¢ §¨ª« áá¨ç¥áª®¬ ¯à¥¤¥«¥ áã¬¬ë ¯® ¤¨áªà¥â­ë¬ ã஢­ï¬ f ¢ (8.36)
§ ¬¥­ïîâáï ¨­â¥£à¨à®¢ ­¨¥¬ ¯® í­¥à£¨¨ á ¯«®â­®áâìî á®áâ®ï­¨© (7.4):
    X X         Z1                     p 2
       = 7 ! d" D("; V ); "p =)              : D("; V ) =   )    A  3=2 " 1=2; (10.1)
    f    p;    0                     2m                   D3=2
        1 Z1                           1 Z1         d"  A3=2 "
                                                                1=2
   n = V d" D("; V ) <> =D)
                                  3=2 V       exp [( "     )=kT   ]      ;   (10.2)
           0                              0
             Z1                            Z1       d"  A 3=2 "
                                                                3=2
       U = d" D("; V ) " <> =D)
                                      3=2     exp  [( "    ) =kT   ]      : (10.3)
             0                             0
€­ «®£¨ç­® ¤«ï ¤ ¢«¥­¨ï, ¨§ (8.24), (8.25), ¤«ï ¯«®â­®á⨠ᯥªâà (10.1):
                  Z1                                1 Z1
     P V = kT d" D                           )
                           ("; V ) ln Q()(") =
                                             D3=2
                                                           d" A3=2 "1=2 ln Q() ("); (10.4)
                  0                                  0
                                                        2m !3=2
     Q() (") =1  exp [ (" )] ; A3=2 = gs 2V 2
                                                           h       : (10.5)
ˆ­â¥£à¨à®¢ ­¨¥ (10.4), (10.5) ¯® ç áâï¬ ¨ áà ¢­¥­¨¥ á (10.3) ¤ ¥â, â.ª.,
  á ãç¥â®¬ (8.29), (9.17): @ ln Q@" (")  @ ln Q
                                  ()           () (")
                                               @ = <>;
          Z1             Z"
¨: P V = d"<> d"0 D("0; V ) ; ¥á«¨ D("; V ) 6= 0; 8 " > 0; (10.6)
            0                 0
 çâ®: P =D)      2 1 Z1  d" A 3=2 "
                                     3=2
                                         ; â.¥. P = 2 U :                         (10.7)
           3=2 3 V 0 exp [("   )=kT ]              3V
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