# set2 - Department of Physics The Ohio State University Prof...

This preview shows pages 1–2. Sign up to view the full content.

Department of Physics Prof. R. Bundschuh The Ohio State University Second Problem Set for Physics 847 (Statistical Physics II) Winter quarter 2004 Important dates: Feb 10 10:30am-12:18pm midterm exam, Mar 16 9:30am-11:18am final exam Due date: Tuesday, Jan 20 4. Two-state system 8 points A (very small) discrete system has only two states 1 and 2 with energies E 1 = - ε 0 and E 2 = ε 0 , respectively. This could, e.g., be a spin 1 / 2 particle in an external magnetic field. Since this system contains only one particle, the different thermodynamic ensembles do not provide equivalent descriptions of the physics. We want to explore this difference for this simplest possible system. a) If the system is isolated from the environment which are the possible values for the internal energy of the system? b) In the following we assume that the system is not isolated any more but instead inter- acting with a heat bath of temperature T . What are the probabilities p i to find the system in each of the two states in this case.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern