Add to ORKGWe present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Expressions for the fluid velocity, density and temperature are derived using equilibrium statistical mechanics. The results show that the number of samples needed to adequately resolve the flow-field scales as the inverse square of the Mach number. The theoretical results are verified for a dilute gas using direct Monte Carlo simulations. The agreement between theory and simulation verifies that the use of equilibrium theory is justified.Singapore-MIT Alliance (SMA
In this study, we propose a non-linear continuous stochastic velocity process for simulations of mon...
The direct Monte Carlo simulation method is used to check the validity of the hydrodynamic descripti...
This thesis addresses the sampling problem in a high-dimensional space, i.e., the computation of av...
This paper discusses the evaluation of hydrodynamic variables in the presence of spontaneous fluctua...
Equilibrium properties in statistical physics are obtained by computing averages with respect to Bol...
We present a comparison between Monte Carlo (MC) results for homogeneous vapourliquid nucleation of ...
Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/140680/1/1.A32767.pd
AbstractThe Fokker–Planck approximation to the Boltzmann equation, solved numerically by stochastic ...
The authors present a new molecular dynamics algorithm for sampling the canonical distribution. In t...
A dilute gas under a constant heat flux is studied with use of a Monte Carlo simulation based on the...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2011.Catalo...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76742/1/AIAA-2003-3774-159.pd
Computer simulations of liquid and solid systems very close to the melting-freezing transition zone ...
he particle-in-cell method with Monte Carlo collisions is frequently used when a detailed kinetic si...
We report the application of a far-from-equilibrium statistical-mechanical theory to a nontrivial sy...
In this study, we propose a non-linear continuous stochastic velocity process for simulations of mon...
The direct Monte Carlo simulation method is used to check the validity of the hydrodynamic descripti...
This thesis addresses the sampling problem in a high-dimensional space, i.e., the computation of av...
This paper discusses the evaluation of hydrodynamic variables in the presence of spontaneous fluctua...
Equilibrium properties in statistical physics are obtained by computing averages with respect to Bol...
We present a comparison between Monte Carlo (MC) results for homogeneous vapourliquid nucleation of ...
Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/140680/1/1.A32767.pd
AbstractThe Fokker–Planck approximation to the Boltzmann equation, solved numerically by stochastic ...
The authors present a new molecular dynamics algorithm for sampling the canonical distribution. In t...
A dilute gas under a constant heat flux is studied with use of a Monte Carlo simulation based on the...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2011.Catalo...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76742/1/AIAA-2003-3774-159.pd
Computer simulations of liquid and solid systems very close to the melting-freezing transition zone ...
he particle-in-cell method with Monte Carlo collisions is frequently used when a detailed kinetic si...
We report the application of a far-from-equilibrium statistical-mechanical theory to a nontrivial sy...
In this study, we propose a non-linear continuous stochastic velocity process for simulations of mon...
The direct Monte Carlo simulation method is used to check the validity of the hydrodynamic descripti...
This thesis addresses the sampling problem in a high-dimensional space, i.e., the computation of av...