ONLINE RESOURCES, Physics 704, Spring 2011
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).
Nice java applet of percolation: convenient controls, nice data output
H. Gould's applet on percolation cluster labeling
Ising model: (see Monte Carlo)
Potts model on square lattice, lots of controls, inc. cell size
MD simulation of hard spheres (in 2D), dimensionless formulation
MD simulations of various molecules (oil, water, etc.), interesting but undocumented
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.
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
Nice lecture series on Monte Carlo, also from Finland
Random number generators:
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.
NetLogo Models Library, intriguing simulation tools
3-state Potts model: Landau theory, LGW Hamiltonian
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):
Equality for Free Energy Differences," Phys.
Rev. Lett. 78, 2690–2693 (1997)
"Nonequilibrium Equality for Free Energy Differences," Phys. Rev. Lett. 78, 2690–2693 (1997)
free-energy differences from nonequilibrium measurements: A master-equation
Rev. E 56, 5018–5035 (1997)
"Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach," Phys. Rev. E 56, 5018–5035 (1997)
work theorem for a system strongly coupled to a thermal environment,"
Mech. (2004) P09005
"Nonequilibrium work theorem for a system strongly coupled to a thermal environment," J. Stat. Mech. (2004) P09005
statics and dynamics,"
"Wetting: statics and dynamics,"P. G. de Gennes, Rev. Mod. Phys. 57, 827–863 (1985)