(SYSTEM IN CONTACT WITH A HEAT RESERVOIR)
Canonical ensemble describes those systems that are not isolated but are in contact with a heat reservoir.
The system under consideration together with a heat reservoir forms a closed system and then system of interest is taken as sub system of this closed system.
Any sub system of an isolated system in statistical equilibrium can be represented by a canonical ensemble.
The probability density of a canonical ensemble depends both on Energy 'E' and temperature 'T'
It is given by
Partition function for canonical ensemble
The statistical energy of a system in a canonical ensemble is given by
Thermodynamical entropy 'S' of a system in a canonical ensemble is given by
The entropy at absolute zero in a canonical ensemble can be expressed as
gâ is statistical weight of ground state
Canonical ensemble describes those systems that are not isolated but are in contact with a heat reservoir.
The system under consideration together with a heat reservoir forms a closed system and then system of interest is taken as sub system of this closed system.
Any sub system of an isolated system in statistical equilibrium can be represented by a canonical ensemble.
The probability density of a canonical ensemble depends both on Energy 'E' and temperature 'T'
It is given by
Ď(E,T) = Ae-E/đ
Partition function for canonical ensemble
z=(1/h³âż.n!)∫exp(-E(q,p)/KTdÎ
The statistical energy of a system in a canonical ensemble is given by
đ = logZ +(E/đ); đ = logZ +T[∂(log Z)/∂T]
Thermodynamical entropy 'S' of a system in a canonical ensemble is given by
S=Kđ
S=KlogZ + (E/T); U=KT2[∂(log Z)/∂T]
The entropy at absolute zero in a canonical ensemble can be expressed as
S=K.log gâ
gâ is statistical weight of ground state
