**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 He ^{3} - He^{4} 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):

**Kosterlitz-Thouless
etc.:**