Introducation To atistical Mechanics By Sayantan Bhattacharya
Contents . Thermodynamic and Chemical Potential . Microstate and Macrost ate . Partition Functions and Thermodynamic Quantities.
Thermodynamic Potential Two types of Thermodynamic potentials. Helmholtzfree energy: F-U-TS The decrease of Helmholtz energy sets an upper limit to the maximum work done by the system at constant temperature and volume. Gibbsfree energy: G-U-TS+PV The decrease of Gibbs free energy sets an upper limit on non-pdVtype work done at constant pressure and temperature. .
Chemical Potential The chemical potential governs the flow of particle between two systems. It is denoted by u. Diffusion of particle happensfrom higher chemical potential to lower chemical potential. At, Diffusive equilibrium
Micro and Macro states A complete specification of the particles in a stem is called the microstate.i.e. for istinguishable particles microstates are the energy levels they are in, which particles are occupying which microstate. Now, A macrostate is the average of the sum total of its various microstate. This describes an overall picture of the system.
System in Equilibrium . For a system in thermal equilibrium we have, S kin (2, Where, k is Boltzman constant and, 2 is the num ber of microstates. 1 S
Partition Function The quantity that describes how the gas molecules or assembly are partitioned among various energy levels, is called the Partition function or the Boltzmann Partition function. If energy of ith level is e and degener The Partition function isgiven by: z-8
"Educating India For a Better Tomorrow" ||Ph.D student,U mass Lowell,Massachusetts,USA|| M.Sc,University Of Hyderabad,2018|| B.Sc,B.H.U,2016