文档介绍：Giovanni Gal lavotti
ST A TISTICAL MECHANICS
Short T reatise
R oma
Short tr e atise of
Statistic al Me chanics
Gio v anni Galla v otti
Dipartimen to di Fisica
Univ ersit
adiRoma L a Sapienza
Roma
Roma
i
A Daniela
sempr e
Preface
This b o ok is the end result of a long story that started with m yin v olv emen t
as Co ordinator of the Statistical Mec hanics section of the Italian Encyclo
pedia of Ph ysics
An Italian edition collecting sev eral pap ers that I wrote for the Encyclop e
dia app eared in Septem b er
with the p ermission of the Encyclop edia
and the sp onsorship of Consiglio Nazionale delle Ricerc he
CNR
GNFM
The presen tw ork is not a translation of the Italian v ersion but it o v erlaps
with it
an imp ortan t part of it
Ch
I
I I
I I I
VI I I
is still based on three arti
cles written as en tries for the
it Encicopledia della Fisica
namely
Me c
c anic a Statistic a
T e oria de gli Insiemi
and
Moto Br owniano
whic h
mak e up ab out
of the presen t b o ok and
furthermore
it still con tains
with little editing and up dating
m y old review article on phase transitions
Ch
VI
published in La Rivista del Nuo v o Cimen to
In translating the
ideas in to English
I in tro duced man y revisions and c hanges of p ersp ectiv e
as w ell as new material
while also suppressing some other material
The aim w as to pro vide an analysis
in ten tionally as non tec hnical as I w as
able to mak e it
of man y fundamen tal questions of Statistical Mec hanics
ab out t w o cen turies after its birth
Only in a v ery few places ha v e I en
tered in to really tec hnical details
mainly on sub jects that I should kno w
rather w ell or that I consider particularly imp ortan t
the con v ergence of the
Kirkw o o d
Salsburg equations
the existence of the thermo dynamic limit
the exact soltution of the Ising mo del
and in part the exact solution of the
six v ertex mo dels