The renormalized trajectory in themulti-dimensional coupling parameter space of the two-dimensional O(3) non-linear sigma model is determined numerically under δ-function block spin transformations using two different Monte Carlo renormalization group techniques. The renormalized trajectory is compared with the straight line of the fixed point trajectory (fixed point action) which leaves the as...

AIM The Monte Carlo dose calculation algorithm yields accurate dose distributions in heterogeneous media and interfaces. The Monte Carlo calculation algorithm provided in the Multiplan Cyberknife treatment planning system (Accuray, Sunnyvale, CA, USA) has five different dose-smoothing algorithms in it. As the principle of smoothing of these algorithms is different, they can produce a disparity ...

We investigate Bayesian alternatives to classical Monte Carlo methods for evaluating integrals. Bayesian Monte Carlo (BMC) allows the incorporation of prior knowledge, such as smoothness of the integrand, into the estimation. In a simple problem we show that this outperforms any classical importance sampling method. We also attempt more challenging multidimensional integrals involved in computi...

Correlated sampling technique has been applied to the ssion matrix approach for Monte Carlo eigenvalue calculation of reactivities ((K) due to small cross-section perturbations. The reference Monte Carlo simulation is performed in a system diierent from both the unperturbed and perturbed systems. This allows the determination of multiple Ks due to multiple cross-section perturbations with a sin...

Algorithms are presented which advance the state of the art in Monte Carlo device simulation in two ways. Firstly, a method of free-flight time calculation using a new self-scattering algorithm is described. A piecewise linear total scattering rate allows for an efficient reduction of self-scattering events. Secondly, a unique Monte Carlo-Poisson coupling scheme is adopted, which converges fast...

Monte Carlo codes are utilized for accurate dose calculations in proton radiation therapy research. While they are superior in accuracy to commonly used analytical dose calculations, they require significantly longer computation times. The aim of this work is to characterize a Monte Carlo track-repeating algorithm to increase computation speed without compromising dosimetric accuracy. The track...

Transition probabilities governing the interaction of energy packets and matter are derived that allow Monte Carlo NLTE transfer codes to be constructed without simplifying the treatment of line formation. These probabilities are such that the Monte Carlo calculation asymptotically recovers the local emissivity of a gas in statistical and radiative equilibrium. Numerical experiments with one-po...

The connection between analytic and Monte Carlo calculations of soft gluon emission is reanalyzed in light of recent, theoretical developments in resummation. An alternative Monte Carlo algorithm is suggested which incorporates (1) corrections beyond leading order to the showering and (2) smoothly merges with the higher order calculation of single, hard parton emission. In particular, it is pos...

We present some new results on incorporating quasi-Monte Carlo rules into Markov chain Monte Carlo. First, we present some new constructions of points, fully equidistributed LFSRs, which are small enough that the entire point set can be used in a Monte Carlo calculation. Second, we introduce some antithetic and round trip sampling constructions and show that they preserve the completely uniform...