... thermodynamics
and statistical mechanics are developed as separate disciplines. Only after
the introduction of the fundamentals of statistical mechanics will the con-
nection be made between statistical mechanics ... interpretation is based on quan-
tum mechanics. Statistical mechanics is the branch of science that intercon-
nects these seemingly unrelated disciplines: stati...
. )
t
p(t,N,E)
oc
oc
g(E) exp( -
β
E )
oc g(E) exp( -
β
E )
g(E) [ 1- (1-q)
β
’ E ]
q/(1-q)
EXTENSIVE SYSTEMS (
α
> d )
( q = 1 )
( q = 1 )
( q = 1 )
/
τ
(N)
N* =
=
N
1-
α
/d
-1
1 -
α
/d
with lim. three as-
sumptions seem at first sight incompatible, since the power-law of a sum does
not coincide with the product of the power-laws. In other words, the simultane-
Nonextensive Statisti...
. temperature.
Traditional statistical mechanics fo-
cuses on understanding phases of mat-
ter, and transitions between phases.
These phases – solids, liquids, mag-
nets, superfluids – are emergent prop-
erties. with our fundamental ex-
planation for the increase of entropy
in statistical mechanics. Conversely,
tools developed in statistical mechan-
ics have been central to the under-
standing of t...