Конспект лекций по статистической физике. Коренблит С.Э - 46 стр.

                                  |46|
(9.2). Ž­ â ª¦¥ áãé¥á⢥­­® § ¢¨á¨â ®â N , ¨ ¨¬¥¥â ¯®à冷ª ¢¥«¨ç¨­ë
(áà ¢­¨ á (4.11), (4.13) ):
                            q                  v
                              <
                              <  (
E )2>> u
                   2(E )  <>  t Ck  p1  1:
                                               u
                                                  V      N
    ([1] xx4.1-4.4, [4] xx11{13, [5] x61, [6] xx28,31,36, [7], [35])
   ‡ ¤ ç¨
10.1. ’¥¯«®¥¬ª®áâì ­¥ª®â®à®© á¨á⥬ë, á®áâ®ï饩 ¨§ ¡®«ì讣® ç¨á« ç -
áâ¨æ, ¨¬¥¥â ¢¨¤ CV = aT n.  ©â¨ í­¥à£¥â¨ç¥áªãî ¯«®â­®áâì á®áâ®ï­¨©
¨ ¯®«­ë© ¤®áâã¯­ë© â ª®© á¨á⥬¥ ä §®¢ë© ®¡ê¥¬, ¥á«¨ ®­ :
 ) ¤¨ ¡ â¨ç¥áª¨ ¨§®«¨à®¢ ­ ; ¡) ­ 室¨âáï ¢ â¥à¬®áâ ⥠[24].
10.2. ® ª ª®¬ã ­á ¬¡«î ¤®«¦­® ¢ë¯®«­ïâìáï ãá।­¥­¨¥ ¢ í࣮¤¨ç¥-
᪮© ⥮६¥ (1.33)? à®¢¥à¨âì ¥¥ ¤«ï ¬ˆªà®ª ­®­¨ç¥áª®£® ­á ¬¡«ï á
¯®¬®éìî (3.16), (3.17), (3.32), ¨á¯®«ì§ãï ¢ë⥪ î饥 ¨§ (1.6) ¢ëà ¦¥­¨¥
¤«ï ᪮à®á⨠¯¥à¥¬¥é¥­¨ï l = l(t) ä §®¢®© â®çª¨ ¢¤®«ì ä §®¢®© âà ¥ª-
â®à¨¨ ([20] xII.2):
                      dl(t)  X_ t = jV (X )j = jr H (X )j :          (4.46)
                                                   X
                       dt
10.3. ˆáå®¤ï ¨§ (4.31), ­ ©â¨ ¯«®â­®áâì à á¯à¥¤¥«¥­¨ï ¢¥à®ïâ­®áâ¨ à §-
«¨ç­ëå §­ 祭¨© í­¥à£¨¨ f (E ) = W     gN (E ) ¤«ï ¨§®«¨à®¢ ­­®© á¨áâ¥¬ë ¨
á¨áâ¥¬ë ¢ â¥à¬®áâ â¥.
10.4. „¨ää¥à¥­æ¨àãï á।­¥¥ ¯® ª ­®­¨ç¥áª®¬ã à á¯à¥¤¥«¥­¨î ®â «î¡®©
¤¨­ ¬¨ç¥áª®© ¢¥«¨ç¨­ë b(X; a), ¤®ª § âì ¤¢¥ «¥¬¬ë ƒ¨¡¡á [4] x13: ¯à¨
                        X
    TdS = d<> + <>dak ; £¤¥: <>  <>; (4.47)
                ** @H (kX; a) ++
    <> =            @ak      ; X = fqi ; pi g ä §®¢ë¥ ª®®à¤¨­ âë, (4.48)
                                        @< >   ** @b(X; a) ++
    <>  <>; ¨¬¥¥¬: @a                     @a        =
                                            k             k
          1 **                 0 @H (X; a) ** @H (X; a) ++1++
    =          b (X; a) <> @                                A ;    (4.49)
          T                           @ak             @ak
     @<> = 1 b(X; a) <>H (X; a) <>:                  (4.50)
       @T       T2
®«ãç¨âì ®âáî¤ ä®à¬ã«ë ¤«ï ä«ãªâã 権 à §«¨ç­ëå â¥à¬®¤¨­ ¬¨ç¥-
áª¨å ¢¥«¨ç¨­ ¢¨¤ (9.2).