Monte Carlo simulations of bosonic reaction-diffusion systems

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multi-Dimensional, Mesoscopic Monte Carlo Simulations of Inhomogeneous Reaction-Drift-Diffusion Systems on Graphics-Processing Units

For many biological applications, a macroscopic (deterministic) treatment of reaction-drift-diffusion systems is insufficient. Instead, one has to properly handle the stochastic nature of the problem and generate true sample paths of the underlying probability distribution. Unfortunately, stochastic algorithms are computationally expensive and, in most cases, the large number of participating p...

متن کامل

Synchronous parallel kinetic Monte Carlo for continuum diffusion-reaction systems

A novel parallel kinetic Monte Carlo (kMC) algorithm formulated on the basis of perfect time synchronicity is presented. The algorithm is intended as a generalization of the standard w-fold kMC method, and is trivially implemented in parallel architectures. In its present form, the algorithm is not rigorous in the sense that boundary conflicts are ignored. We demonstrate, however, that, in thei...

متن کامل

Monte Carlo Simulations of Spin Systems

This lecture gives a brief introduction to Monte Carlo simulations of classical O(n) spin systems such as the Ising (n = 1), XY (n = 2), and Heisenberg (n = 3) model. In the first part I discuss some aspects of Monte Carlo algorithms to generate the raw data. Here special emphasis is placed on non-local cluster update algorithms which proved to be most efficient for this class of models. The se...

متن کامل

Improved diffusion Monte Carlo propagators for bosonic systems using Itô calculus.

The construction of importance sampled diffusion Monte Carlo (DMC) schemes accurate to second order in the time step is discussed. A central aspect in obtaining efficient second order schemes is the numerical solution of the stochastic differential equation (SDE) associated with the Fokker-Plank equation responsible for the importance sampling procedure. In this work, stochastic predictor-corre...

متن کامل

Monte Carlo study of 2D bosonic gases

We consider a bidimensional system of few identical bosons trapped in a harmonic well that interact through a two-body gaussian potential. We discuss the ground state energy using a mean-field approximation and introducing pair correlations. To solve the many-body problem we used Monte Carlo techniques: Variational and Diffusion Monte Carlo. We find that two-body correlations lower significantl...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review E

سال: 2005

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.72.036111