Project Bibliography: VibeSpin
This file collects all scientific references used throughout the VibeSpin project. It is a core part of the documentation, alongside PHYSICS.md and SCRIPTS.md. References are sorted by topic for clarity and review. All references are open-access or from reputable sources, and links are checked for accessibility.
Referencing Policy
Referencing policy is defined in AGENTS.md. Please consult that file for the official rules and enforcement details.
1. Physical Models
Ising Model
L. Onsager, “Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition,” Physical Review, vol. 65, no. 3-4, pp. 117–149, 1944. APS Open Access
XY Model
J. M. Kosterlitz and D. J. Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” Journal of Physics C: Solid State Physics, vol. 6, no. 7, pp. 1181–1203, 1973. IOP Open Access
N. D. Mermin and H. Wagner, “Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models,” Physical Review Letters, vol. 17, no. 22, pp. 1133–1136, 1966. APS Open Access
J. Villain, “Theory of one- and two-dimensional magnets with an easy magnetization plane. II. The planar, classical, two-dimensional magnet,” J. Phys. France 36, 581-590 (1975). Open Access
q-state Clock Model
J. Lapilli, P. Pfeifer, and C. Wexler, “Universality away from critical points in two-dimensional phase transitions,” Physical Review Letters, vol. 96, no. 14, 140603, 2006. APS Open Access
2. Algorithms
Metropolis-Hastings Algorithm
W. K. Hastings, “Monte Carlo sampling methods using Markov chains and their applications,” Biometrika, vol. 57, no. 1, pp. 97–109, 1970. Oxford Academic
Wolff Cluster Algorithm
U. Wolff, “Collective Monte Carlo Updating for Spin Systems,” Physical Review Letters, vol. 62, no. 4, pp. 361–364, 1989. APS Open Access
Fortuin-Kasteleyn Representation
C. M. Fortuin and P. W. Kasteleyn, “On the random-cluster model. I. Introduction and relation to other models,” Physica, vol. 57, no. 4, pp. 536–564, 1972. Elsevier Open Access
Random cluster model (Fortuin–Kasteleyn representation) on Wikipedia
3. Thermodynamic and Topological Observables
Thermodynamics
K. Huang, “Statistical Mechanics,” 2nd Edition, Wiley, 1987. Statistical Mechanics lecture notes, John Cardy, Oxford (Archive)
Spatial Diagnostics
N. Goldenfeld, “Lectures on Phase Transitions and the Renormalization Group,” Addison-Wesley, 1992. Internet Archive (Open Access)
Topological Diagnostics and BKT Transition
J. M. Kosterlitz and D. J. Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” Journal of Physics C: Solid State Physics, vol. 6, no. 7, pp. 1181–1203, 1973. IOP Open Access
4. Monte Carlo Analysis and Autocorrelation
G. S. Madras and A. D. Sokal, “The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk,” Journal of Statistical Physics, vol. 50, no. 1-2, pp. 109–186, 1988. Springer Open Access
A. D. Sokal, “Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms,” lecture notes (1989), published in Functional Integration: Basics and Applications (C. DeWitt-Morette, P. Cartier, A. Folacci, eds.), Springer, 1997, pp. 131–192. Springer Link
5. Numerical and Computational Methods
Numba JIT and parallelization: Numba documentation
6. Additional References
M. E. J. Newman and G. T. Barkema, “Monte Carlo Methods in Statistical Physics,” Oxford University Press, 1999. Lecture Notes Summary (H. G. Katzgraber)
This bibliography is maintained as a core project file. All references must be added here when cited elsewhere, and links must be checked for accessibility.