Keyword

equilibrium distribution function

Description: A function describing the distribution of states or particle populations at equilibrium, used in statistical mechanics and lattice Boltzmann methods.

Primary topic: Lattice Boltzmann Simulation Studies (52%)

OpenAlex ID: keywords/equilibrium-distribution-function

A unified formulation of the constant temperature molecular dynamics methods

1984 · Shuichi Nosé · The Journal of Chemical Physics · 19,180

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A non-slip boundary condition for lattice Boltzmann simulations

1995 · Takaji Inamuro, Masato Yoshino, et al. · Physics of Fluids · 392

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A new lattice Boltzmann model for solid–liquid phase change

2013 · Rongzong Huang, Huiying Wu, et al. · International Journal of Heat and Mass Transfer · 306

Lattice Boltzmann model for nonlinear convection-diffusion equations

2009 · Baochang Shi, Zhaoli Guo · Physical Review E · 274

The isothermal/isobaric molecular dynamics ensemble

1983 · Denis J. Evans, G.P. Morriss · Physics Letters A · 221

A novel lattice Boltzmann model for the Poisson equation

2007 · Zhenhua Chai, Baochang Shi · Applied Mathematical Modelling · 211

Fluctuation formulas in molecular-dynamics simulations with the weak coupling heat bath

2000 · Tetsuya Morishita · The Journal of Chemical Physics · 205

Generic boundary conditions for lattice Boltzmann models and their application to advection and anisotropic dispersion equations

2005 · Irina Ginzburg · Advances in Water Resources · 198

Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation

2020 · Lou, Qin, Meng, Xuhui, et al. · arXiv (Cornell University) · 189

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Analysis of the lattice Boltzmann treatment of hydrodynamics

1993 · Guy McNamara, Berni Alder · Physica A Statistical Mechanics and its Applications · 175

Phase interface effects in the total enthalpy-based lattice Boltzmann model for solid–liquid phase change

2015 · Rongzong Huang, Huiying Wu · Journal of Computational Physics · 164

Interpolated boundary condition for lattice Boltzmann simulations of flows in narrow gaps

2007 · B. Chun, A. J. C. Ladd · Physical Review E · 162

Comparative study of the lattice Boltzmann models for Allen-Cahn and Cahn-Hilliard equations

2016 · H. L. Wang, Z. H. Chai, et al. · Physical review. E · 150

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Structure and diffusion in mixtures of rare-gas liquids

1975 · G. Jacucci, I.R. McDonald · Physica A Statistical Mechanics and its Applications · 149

Nonhydrodynamic modes and a priori construction of shallow water lattice Boltzmann equations

2002 · Paul J. Dellar · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 141

Lattice Boltzmann model for compressible fluids

1992 · F. J. Alexander, H. Chen, et al. · Physical Review A · 128

Improved lattice Boltzmann modeling of binary flow based on the conservative Allen-Cahn equation

2016 · Feng Ren, Baowei Song, et al. · Physical review. E · 126

A modified multiple-relaxation-time lattice Boltzmann model for convection–diffusion equation

2014 · Rongzong Huang, Huiying Wu · Journal of Computational Physics · 118

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Entropic lattice Boltzmann model for compressible flows

2015 · N. Frapolli, S. S. Chikatamarla, et al. · Physical Review E · 116

Alternative method to construct equilibrium distribution functions in lattice-Boltzmann method simulation of inviscid compressible flows at high Mach number

2007 · K. Qu, C. Shu, et al. · Physical Review E · 116

A thermal lattice Boltzmann model for natural convection in porous media under local thermal non-equilibrium conditions

2013 · Dongyan Gao, Zhenqian Chen, et al. · International Journal of Heat and Mass Transfer · 110

Kinetic theory and rheology of bead-rod models for macromolecular solutions. I. Equilibrium and steady flow properties

1974 · Ole Hassager · The Journal of Chemical Physics · 109

Convection-Diffusion Lattice Boltzmann Scheme for Irregular Lattices

2000 · R.G.M. van der Sman, M.H. Ernst · Journal of Computational Physics · 108

Simulating two-dimensional thermal channel flows by means of a lattice Boltzmann method with new boundary conditions

2004 · Annunziata D’Orazio, Sauro Succi · Future Generation Computer Systems · 105

Estimates for the ruin probability in the classical risk model with constant interest force in the presence of heavy tails

2002 · Dimitrios Konstantinides, Qihe Tang, et al. · Insurance Mathematics and Economics · 102

Works count: 525

Citation count: 29,510