ONLINE RESOURCES, Physics 603*, Spring 2013
*Some from 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).
R. Feynman, Excitations in liquid helium, Physica 24, S18 (1958).
F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys. 71, 463 (1999) See Section II.
Ortho- vs. para-hydrogen molecules
Michael Cross lecture on Statistical Mechanics of Superfluidity
Critical opalescence:
YouTube video of methanol & cyclohexane (mixed at 293K into bath at 323K), heating up
Alternative YouTube video cooling from single-phase mixed state
Phonons:
Acoustic modes in 1D, longitudinal
Optical vs. acoustic, 1D but displayed in transverse direction (comparison of displacements in the 2 directions)
Easy derivations and transverse display
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 and Monte Carlo
Ising applet by Schroeder (source)
Ising: Metropolis, Swendsen-Wang, 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
3D Ising model, lots of nice controls
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
Compendium of Monte Carlo applets (most not Ising)
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), controls in English but description in German
Random number generators:
Random applet, with nice sketch of theory and ability to tune and test
Mersenne twister--state of the art
Comparison of random number generators
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.
Molecular Dynamics:
Excellent MD simulation demo including suggested experiments
MD applet by Schroeder (source)
MD simulation of hard spheres (in 2D), dimensionless formulation
MD simulations of various molecules (oil, water, etc.), interesting but undocumented
Description of pair correlation function and algorithms to compute it
Evolution:
Movie of formation of binary alloy
Miscellaneous topics:
NetLogo Models Library, intriguing simulation tools
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
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