Consider a large number N of localized particles in an external magnetic field(adsbygoogle = window.adsbygoogle || []).push({}); H. Each particle has spin 1/2.

Find the number of states, g(N,M), accessible to the system as a function of M=(N_{up}-N_{down}), the magnetization.

Calculate the entropy per particle.

Determine the value of M for which the number of states is a maximum for a given N.

Equations that may help?

N=N_{up}+N_{down}

M=N_{up}-N_{down}

g(N,s)= N!/(N_{up}!N_{down}!)

σ(N,U)=log(g(N,U))

This is my first thermal physics course and I am kinda confused (and overwhelmed) by this first homework assignment if anyone could explain what I am suposed to do, or set me in a direction, I would appreciate it.

Thanks in advance,

Kris

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# Homework Help: Thermal Physics, Homework #1 problem #1

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