## Markov Chain Monte Carlo --- Publications of Chris Ding

Combining Gibbs (Heat-Bath) sampling method with Metropolis sampling method.

- "An Improved Heat Bath Method for Vectorized Processing"
( PDF File),
C.H.Q. Ding,
J. of Computational Physics, v.67, pp.28-41 (1986).

- "Latent Heat and Critical Temperature of the Color Deconfining Phase
Transition", N.H. Christ and C.H.Q. Ding, Physical Review Letters,
v.60, pp.1367-1370 (1988).
(For the parallel processor we built for the simulation, see
Science, cover page, Aug 1988).

- "Simulating Lattice QCD on a Caltech/JPL Hypercube", C.H.Q. Ding,
International J. of Supercomputer Applications, v.5, pp:73-80 (1991).

Path-integral Markov Chain Monte Carlo sampling of quantum systems
(a number of constraints enforced)

- "Spin Correlations of 2D Quantum Antiferro-magnets at Low Temperature and
A Direct Comparison with Neutron Scattering Experiments",
C.H.Q. Ding and M.S. Makivic, Physical Review Letters v.64,
pp.1449-1153 (1990).
( Nature
editor John Maddox
wrote an article,
"Towards Explaining Superconductivity"
( PDF File),
v.344, p.485, 1990,
exclusively described this work, the background and its significance.)

- "Could In-Plane Exchange Anisotropy Induce the Observed
Antiferromagnetic Transitions in the Undoped High-Tc Materials?"
C.H.Q. Ding, Physical Review Letters, v.68, pp.1927-1930 (1992).

Brownian Motion, based on Langevin stochastic process.
- "A Comparison of Langevin and Microcanonical Simulations for Fermions",
C.H.Q. Ding and O.C. Martin, Nuclear Physics B, v.280, pp.497-510 (1987).

Population-Control Markov Chain Monte Carlo

- "Elementary Excitations for the Two-Dimensional Quantum Heisenberg
Antiferromagnet", G. Chen, C.H.Q. Ding, and W.A. Goddard,
Physical Review B, v.46, pp:2933-2941 (1992).