This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: s 1 ,s 2 ,...,s N . Here, each micromagnet spin state has one of two values: s i = ± 1 , i = 1 , 2 ,...,N . The net energy of the system in one of these microstates ish ∑ N i =1 s i , where h is a constant magnetic ﬁeld. 2 Name 2. For the magnet considered in Problem 1, the reversible work diﬀerential for the ﬁrst law of thermodynamics is dw rev = hdM with M denoting the average net spin, i.e., M = h s 1 + s 2 + ... + s N i . At small enough values of h , the equation of state for the magnet is βh = m , where m = M/N . For the questions that follow, assume the system is in this regime of small h . 3 3. Consider N identical classical particles of mass m in two dimensions, i.e., d = 2. These particles are at equilibrium, in a ﬁxed volume and at a temperature T . 4...
View
Full
Document
This note was uploaded on 01/03/2011 for the course CHEM 120B taught by Professor Geissler during the Spring '08 term at Berkeley.
 Spring '08
 Geissler
 Chemistry

Click to edit the document details