**ONLINE
RESOURCES, Physics 603*, Spring 2014**

*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 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).

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

**Miscellaneous websites:**

**For Prof. Yakovenko's presentation on statistical physics of money, see his website on this subject:**

http://physics.umd.edu/~yakovenk/econophysics/

In particular, look at his review article [3.6] and his most recent paper [1.9].

**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

**Bra-ket notation: **

**Dimer statistics: **

Rapid conversion vs. equilibrium

**Bose-Einstein condensation and liquid helium II: **

Liquid Helium II, Superfluid, lambda transition

Liquid Helium II, Superfluid, Segment 1 of 6

Liquid Helium II, Superfluid, Segment 2 of 6

Liquid Helium II, Superfluid Segment 3 of 6: zero viscosity

Liquid Helium II the superfluid (Segment 4: The fountain effect)

Liquid Helium II, Superfluid, Segment 5 of 6: superfluid creep and second sound

Liquid Helium II, Superfluid, Segment 6 of 6: second sound (redundant to segment 5)

BEC Rb atoms by U. Colorado (very elementary but nice pictures and "movie")

**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

1D chain showing dispersion relation plus lots of other stuff

Crystal modes of vibration (just look at examples of single atomic crystal)

Lecture on Debye model (S. Sweeney, U. of Surrey, UK, solid state class, lots of nice figures, esp. slide 15)

**Fermi gases: **

Fermi surfaces of actual metals (uses, alas, outdated insecure Java 1.1)

**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

**Kosterlitz-Thouless
etc.:**