Logs rearranging, relates to paramagnetism

  • Thread starter karnten07
  • Start date
[SOLVED] Logs rearranging, relates to paramagnetism

1. The problem statement, all variables and given/known data

I want to show that NlnN - n1ln(n1) - n2ln(n2) is equal to:

-N{(n1/N)ln(n1/N) + (n2/N)ln(n2/N)}

apparently i can do this by the artifice of adding and subtracting the term n1lnN and then regrouping.



2. Relevant equations



3. The attempt at a solution

I am getting the required form but i also get an additional (LogN-1)(n1/N + n2/N -1)

Im wondering if this cancels out somehow. This question is about paramagnetism and where n1 and n2 are the number of atoms where the moment points up or down respectively.
 

Want to reply to this thread?

"Logs rearranging, relates to paramagnetism" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Top Threads

Top