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

 

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

 

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

 

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.

 

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, 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)