Boltzmann classical statistics, Physics

It describes the behaviour of a collection of a particle N(E) with gives energy through N(E)α exp(-E/KT)

where K is Boltzmann constant. It can be explained as a collection of particles in random motion and colliding with each other, we require finding out the concentration of charges particles in the energy range E to (E+dE). Consider the process in which two electrons with energies E1 and E2 interact and then move off in different directions, with energies E3 and E4. Let the probability of an electron having an energy E be P (E), where P (E) is the fraction of electron with an energy E. The probability of this event is then P (E1), P (E2). The probability of reverse process in which electrons with energies E3 and E4 interact is P (E3) P (E4). In the thermal equilibrium, that is, the system is in equilibrium, the forward process must be just as likely as the reverse process, so.

           P (E1) P (E2) =P (E3) P (E4)

Furthermore, the energy in this collision must be conserved, so we also need

            E1+E2= E3+E4

Therefore, we need to find the P (E) that let satisfies both equation and equation

                P (E) =A exp (_E/KT)

K= Boltzmann constant, T= Temperature, A=constant

Equation is the Boltzmann probability function is shown. The probability of finding a particle at any energy E states therefore exponentially with energy.

Suppose that we have N1 at an energy level E1 and N2 particles at a higher energy E2. As the temperature increases N2/N1 also increases. Therefore increasing the temperature postulates the higher energy levels.

Posted Date: 7/7/2012 9:09:06 AM | Location : United States







Related Discussions:- Boltzmann classical statistics, Assignment Help, Ask Question on Boltzmann classical statistics, Get Answer, Expert's Help, Boltzmann classical statistics Discussions

Write discussion on Boltzmann classical statistics
Your posts are moderated
Related Questions
Fibre optics: Light travels in straight lines, even though lenses and mirrors can deflect it, light still travels in a straight line between optical devices. This is fine for

What happens if a person travels faster than light in a space shuttle?  Ans) Interstellar space travel is manned or unmanned travel among stars. The concept of interstellar trav

Can CPH Theory explain the physical conservation laws? Answer; sure, all the physical conservation laws come up of properties of CPH. Everything is made of a CPH. A CPH has sta

Describe binding energy. How does binding energy per nucleon vary with mass number? What is it significance.

UNIFORM VELOCITY: If a body covers equal displacements in equivalent intervals of time, though the smallest intervals may be, then the velocity of the body is said to be unifor

Hooke's law (R. Hooke): The stress applied on any solid is proportional to the strain it generates in the elastic limit for that solid. The constant of that proportionality is

what is turning force and moment force ?

Gravitational field can also be shown by lines of force. This is same in several ways as that of electric lines of forces. With one dissimilarity, electric charges are negative and

Q. How can we increase the current sensitivity of a galvanometer? The current sensitivity of a galvanometer is able to be increased by (i) Rising the number of turns (ii