Name:SPEEDUP
Description:Speeding up of Path Integral Monte Carlo calculations
Abstract:Path integrals present a rich and flexible formalism for dealing with quantum and statistical theories that has proven extremely useful for handling symmetries, deriving non-perturbative results, establishing connections between different theories, and extending the quantization procedure to ever more complicated systems. Today, analytical and numerical approaches to path integrals play important roles not only in physics but also in chemistry and materials science, and are acquiring a prominent role in mathematics and modern finance.<BR/> <BR/>Path integral Monte Carlo present efficient and reliable tool for calculating basic properties of matter, such as free energy, energy spectra, probability amplitudes, low- and high temperature properties etc. Until recently the best available result for partition functions of a generic N-fold discretized theory led to a $1/N4$ convergence. In a recent series of papers we have investigated the dynamical implications of stochastic self-similarity by studying the relation between discretizations of path integrals with different coarseness. This has resulted in a systematic analytical procedure that is used to reduce path integral error to O(1/Np) for arbitrary p up 10. This reduction of error brings about a substantial increase in the speed of calculation of path integrals. The SPEEDUP application will implement the developed algorithms.<BR/>
Created:2010-05-01
Last updated:2010-05-01
Rating votes:3
Rating score:5 / 5
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