Statistical Mechanics - Physics at Oregon State University

List of Figures
4.1 Fermi Dirac distribution function. . . . . . . . . . . . . . . . . 71
7.1 Hénon-Heiles potential. . . . . . . . . . . . . . . . . . . . . . . 148
8.1 β ∗ = 1
2 , h∗ = 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 166
8.2 β ∗ = 2 , h ∗ = 0.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 166
8.3 β = 1 , J = 1 , q = 3 . . . . . . . . . . . . . . . . . . . . . . . . . 185
8.4 β = 2 , J = 1 , q = 3 . . . . . . . . . . . . . . . . . . . . . . . . . 186
9.1 Ideal case to find critical exponent, with wrong guess of
critical temperature. . . . . . . . . . . . . . . . . . . . . . . . . 201
9.2 Ideal case to find critical exponent. . . . . . . . . . . . . . . . 202
9.3 Non-analytic case to find critical exponent. . . . . . . . . . . 202
9.4 Finite sample case to find critical exponent. . . . . . . . . . . 203
9.5 Cluster results to find critical exponent. . . . . . . . . . . . . 203
9.6 Magnetization of the one dimensional Ising chain. . . . . . . 210
9.7 Magnetization of the one dimensional Ising chain, as a function
of log(h). . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211
VII