ONLINE RESOURCES, Physics 704, Spring 2011
Online books:
James Sethna, Entropy, Order Parameters, and Complexity [pdf]]
Harvey Gould & Jan Tobochnik, Thermal and Statistical Physics, draft chapters; esp. chaps. 8-10
Harvey Gould, Jan Tobochnik, and Wolfgang Christian, An Introduction to Computer Simulation Methods, preliminary 3rd ed.
Journal articles available via umd.edu:
J. Als-Nielsen and R. J. Birgeneau, Mean field theory, the Ginzburg criterion, and marginal dimensionality of phase transitions, Amer. J. Phys. 45, 554 (1977).
M. Blume, V. J. Emery, and Robert B. Griffiths, Ising Model for the λ Transition and Phase Separation in He3 - He4 Mixtures, Phys. Rev. A 4, 1071 (1971).
H. Falk, Inequalities of J. W. Gibbs, Am. J. Phys. 38, 858 (1970) [Molecular Field Approximation].
H. Maris and L.P. Kadanoff, Teaching the Renormalization Group, Amer. J. Phys. 46, 652 (1978).
Exact solution of the 2D Ising model, section 4 of John B. Kogut, An introduction to lattice gauge theory and spin systems, Rev. Mod. Phys. 51, 659 (1978).
Percolation:
Nice java applet of percolation: convenient controls, nice data output
H. Gould's applet on percolation cluster labeling
Forest fires and percolation, with applet
Ising model: (see Monte Carlo)
Ising and Potts, Metropolis and Wolff
Potts model on square lattice, lots of controls, inc. cell size
Ising applet with adjustable dimensions and boundary conditions, as well as usual controls
Molecular Dynamics:
Excellent MD simulation demo including suggested experiments
MD simulation of hard spheres (in 2D), dimensionless formulation
MD simulations of various molecules (oil, water, etc.), interesting but undocumented
Monte Carlo:
J. G. Amar, The Monte Carlo Method in Science and Engineering, from CiSE; currently problems accessing from UM E-Journal site; see protected site for pdf.
M.A. Novotny's excellent review of Monte Carlo methods
http://random.mat.sbg.ac.at/links/index.html--Virtual Library on MC methods
3D Ising model, lots of nice controls
Metropolis, Swendsen-Wang, and Wolff algorithms compared on same lattice
Ising/Potts model applet: Metropolis and Wolff cluster algorithms
Compendium of Monte Carlo applets
Nice lecture series on Monte Carlo, also from Finland
David Ceperley's Intro. to Quantum Monte Carlo, applied to electron gas
Simulation of Ising and esp. XY models, showing vortices for the latter (homepage at itp)
Random number generators:
Mersenne twister--state of the art
Random applet, with nice sketch of theory and ability to tune and test
P. L'Ecuyer, ``Software for Uniform Random Number Generation: Distinguishing the Good and the Bad'', Proceedings of the 2001 Winter Simulation Conference, IEEE Press, Dec. 2001, 95-105.
Evolution:
Movie of formation of binary alloy
Miscellaneous topics:
NetLogo Models Library, intriguing simulation tools
Functional derivatives, general
Functional derivatives leading to delta functions
Clear pedagogical treatment of the Ginzburg criterion
3-state Potts model: Landau theory, LGW Hamiltonian
Numerical Recipes homepage (§7.1 has RAN2 and RAN3)
Great collection of links for Condensed Matter Theory
Phase separation on vicinal surfaces:
"Low-energy electron-microscopy investigations of orientational phase separation on vicinal Si(111) surfaces," R. J. Phaneuf, N. C. Bartelt, Ellen D. Williams, W. Swiech, and E. Bauer, Phys. Rev. Lett. 67, 2986–2989 (1991)
"Crossover from metastable to unstable facet growth on Si(111)," R. J. Phaneuf, N. C. Bartelt, Ellen D. Williams, W. Swiech, and E. Bauer, Phys. Rev. Lett. 71, 2284–2287 (1993)
Jarzynski articles (see also password-protected site):