Accurate Calculation

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Ryosuke Yano - One of the best experts on this subject based on the ideXlab platform.

  • Fast and Accurate Calculation of dilute quantum gas using Uehling-Uhlenbeck model equation
    Journal of Computational Physics, 2017
    Co-Authors: Ryosuke Yano
    Abstract:

    The Uehling-Uhlenbeck (U-U) model equation is studied for the fast and Accurate Calculation of a dilute quantum gas. In particular, the direct simulation Monte Carlo (DSMC) method is used to solve the U-U model equation. DSMC analysis based on the U-U model equation is expected to enable the thermalization to be Accurately obtained using a small number of sample particles and the dilute quantum gas dynamics to be calculated in a practical time. Finally, the applicability of DSMC analysis based on the U-U model equation to the fast and Accurate Calculation of a dilute quantum gas is confirmed by calculating the viscosity coefficient of a Bose gas on the basis of the Green-Kubo expression and the shock layer of a dilute Bose gas around a cylinder.

  • Numerical method toward fast and Accurate Calculation of dilute quantum gas using Uehling-Uhlenbeck model equation
    arXiv: Computational Physics, 2015
    Co-Authors: Ryosuke Yano
    Abstract:

    The numerical method toward the fast and Accurate Calculation of the dilute quantum gas is studied by proposing the Uehing-Uhlenbeck (U-U) model equation. In particular, the direct simulation Monte Carlo (DSMC) method is used to solve the U-U model equation. The DSMC analysis of the U-U model equation surely enables us to obtain the Accurate thermalization using a small number of sample particles and calculate the dilute quantum gas dynamics in practical time. Finally, the availability of the DSMC analysis of the U-U model equation toward the fast and Accurate Calculation of the dilute quantum gas is confirmed by calculating the viscosity coefficient of the Bose gas on the basis of Green-Kubo expression or shock layer of the dilute Bose gas around a circular cylinder

Carlos M. Silva - One of the best experts on this subject based on the ideXlab platform.

  • Universal model for Accurate Calculation of tracer diffusion coefficients in gas, liquid and supercritical systems.
    Journal of chromatography. A, 2013
    Co-Authors: Patrícia F. Lito, Ana L. Magalhães, José R. B. Gomes, Carlos M. Silva
    Abstract:

    In this work it is presented a new model for Accurate Calculation of binary diffusivities (D12) of solutes infinitely diluted in gas, liquid and supercritical solvents. It is based on a Lennard-Jones (LJ) model, and contains two parameters: the molecular diameter of the solvent and a diffusion activation energy. The model is universal since it is applicable to polar, weakly polar, and non-polar solutes and/or solvents, over wide ranges of temperature and density. Its validation was accomplished with the largest database ever compiled, namely 487 systems with 8293 points totally, covering polar (180 systems/2335 points) and non-polar or weakly polar (307 systems/5958 points) mixtures, for which the average errors were 2.65% and 2.97%, respectively. With regard to the physical states of the systems, the average deviations achieved were 1.56% for gaseous (73 systems/1036 points), 2.90% for supercritical (173 systems/4398 points), and 2.92% for liquid (241 systems/2859 points). Furthermore, the model exhibited excellent prediction ability. Ten expressions from the literature were adopted for comparison, but provided worse results or were not applicable to polar systems. A spreadsheet for D12 Calculation is provided online for users in Supplementary Data.

Andrey I. Frolov - One of the best experts on this subject based on the ideXlab platform.

Patrícia F. Lito - One of the best experts on this subject based on the ideXlab platform.

  • Universal model for Accurate Calculation of tracer diffusion coefficients in gas, liquid and supercritical systems.
    Journal of chromatography. A, 2013
    Co-Authors: Patrícia F. Lito, Ana L. Magalhães, José R. B. Gomes, Carlos M. Silva
    Abstract:

    In this work it is presented a new model for Accurate Calculation of binary diffusivities (D12) of solutes infinitely diluted in gas, liquid and supercritical solvents. It is based on a Lennard-Jones (LJ) model, and contains two parameters: the molecular diameter of the solvent and a diffusion activation energy. The model is universal since it is applicable to polar, weakly polar, and non-polar solutes and/or solvents, over wide ranges of temperature and density. Its validation was accomplished with the largest database ever compiled, namely 487 systems with 8293 points totally, covering polar (180 systems/2335 points) and non-polar or weakly polar (307 systems/5958 points) mixtures, for which the average errors were 2.65% and 2.97%, respectively. With regard to the physical states of the systems, the average deviations achieved were 1.56% for gaseous (73 systems/1036 points), 2.90% for supercritical (173 systems/4398 points), and 2.92% for liquid (241 systems/2859 points). Furthermore, the model exhibited excellent prediction ability. Ten expressions from the literature were adopted for comparison, but provided worse results or were not applicable to polar systems. A spreadsheet for D12 Calculation is provided online for users in Supplementary Data.

J. Andrew Mccammon - One of the best experts on this subject based on the ideXlab platform.

  • Fast and Accurate Calculation of Small Molecule Solvation Free Energies using Replica Exchange Accelerated Molecular Dynamics
    Biophysical Journal, 2012
    Co-Authors: Mehrnoosh Arrar, William Sinko, Mikolai Fajer, Cesar Agusto, F. De Oliveira, J. Andrew Mccammon
    Abstract:

    Free energies are important thermodynamic quantities often needed to describe chemical processes and protein-ligand binding. Accurate Calculation of free energies has been done using molecular dynamics (MD) simulations, but these values are often limited due to the conformational “trapping” of a given system in a free energy minimum. Accelerated molecular dynamics (aMD) is a hamiltonian-modifying method in which the sampling problem is mitigated by adding a bias to the potential energy term, making it easier to traverse the conformational landscape. By coupling this method with replica exchange (REXAMD), it is further enhanced, evading the statistical re-weighting problem. We show that REXAMD is ideal for computing Accurate solvation free energies of small molecules.