Monte Carlo Methods
T-12 contributes to Los Alamos efforts in the development and
application of Monte Carlo techniques through the LDRD project "Monte
Carlo for the 21st Century," aka Monte Carlo 21.
Under this program T-12 staff member Lawrence Pratt works on:
- specialized Monte Carlo methods for simulation of models of
complex solutions of water-oil-surfactant, polymer, and liquid crystal
systems.
- advanced statistical analysis of Monte Carlo simulation
data.
-
adapting advanced Monte Carlo methods for transport problems to quantum
Monte Carlo applications.
The viewgraphs (as pdf files) for some recent presentations follow.
This permits the audience access to the slides before the talk
and probably not all the slides would be shown.
Some Research Papers:
-
G. G. Hoffman, L. R. Pratt, and R. A. Harris, Chem. Phys. Letts.
148, 313 (1988): ``Monte Carlo integration of density functional
theory: Fermions in a harmonic well.''
- L. R. Pratt, Phys. Rev. A 40, 6077 (1989): ``Lower
bound on the ground state energies of atoms and molecules by
variational quantum Monte Carlo.''
- L. R. Pratt and R. A. Keller, J. Phys. Chem. 97,
10254 (1993): ``Estimate of the probability of diffusional misordering
in high-speed DNA sequencing.''
- M. A. Gomez and L. R. Pratt, J. Chem. Phys. 109,
8783(1998): ``
Construction of Simulation Wavefunctions for Aqueous Species:
D3O+.''
Sampled configuration of water (background), oil (red),
H4T4 surfactant (blue) for 2d Ising model on
128x128 square lattice at T = 0.84 Tc on the water-oil
coexistence curve.
An illustration how the IRS algorithm works for such
cases:
H4T4 surfactant for 2d Ising model on
32x32 square lattice at T = 0.88 Tc on the water-oil
coexistence curve.
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