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


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


Percolation tutorial


H. Gould's applet on percolation cluster labeling


Forest fires and percolation, with applet


Ising model: (see Monte Carlo)


Ising applet


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


Tutorial for CHARMM


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 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


Potts applet, lots of control


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.




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, 29862989 (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, 22842287 (1993)


Jarzynski articles (see also password-protected site):


 "Nonequilibrium Equality for Free Energy Differences," Phys. Rev. Lett. 78, 26902693 (1997)


"Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach," Phys. Rev. E 56, 50185035 (1997)


"Nonequilibrium work theorem for a system strongly coupled to a thermal environment," J. Stat. Mech. (2004) P09005


Kosterlitz-Thouless etc.:


"Wetting: statics and dynamics," P. G. de Gennes, Rev. Mod. Phys. 57, 827863 (1985)