Previous heat capacity estimators useful in path integral simulations have variances that grow with the number of path variables included. In the present work a new specific heat estimator for Fourier path integral Monte Carlo simulations is derived using methods similar to those used in developing virial energy estimators. The resulting heat capacity estimator has a variance that is roughly in...

This work is devoted to the thermodynamics of high-temperature dense hydrogen plasmas in the pressure region between 10 −1 and 10 2 Mbar. In particular we present for this region results of extensive calculations based on a recently developed path integral Monte Carlo scheme (direct PIMC). This method allows for a correct treatment of the thermodynamic properties of hot dense Coulomb systems. C...

Fredholm integral equations of the first kind are prototypical example ill-posed linear inverse problems. They model, among other things, reconstruction distorted noisy observations and indirect density estimation also appear in instrumental variable regression. However, their numerical solution remains a challenging problem. Many techniques currently available require preliminary discretizatio...

background: two protocols of aapm tg-51 and iaea trs-398 were compared followed by a measurement and monte carlo simulation of beam quality correction factor, kq, aapm tg-51 and iaea trs-398 protocols were compared for the absorbed dose to water for dw, and kq parameters. materials and methods: dose measurements by either protocols were performed with cylindrical and plane parallel chambers for...

Starting from an exact lower bound on the imaginary-time propagator, we present a path-integral quantum Monte Carlo method that can handle singular attractive potentials. We illustrate the basic ideas of this quantum Monte Carlo algorithm by simulating the ground state of hydrogen and helium.