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Volumn 12, Issue 2, 2002, Pages 227-259

Stochastic and hydrodynamic lattice gas models: Mean-field kinetic approaches

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; PHASE TRANSITIONS; REACTION KINETICS; THERMODYNAMICS;

EID: 0036339939     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127402004334     Document Type: Review
Times cited : (3)

References (107)
  • 1
    • 0001445882 scopus 로고    scopus 로고
    • Derivation of the Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
    • (1997) J. Comput. Phys. , vol.131 , pp. 241-246
    • Abe, T.1
  • 2
    • 0016952907 scopus 로고
    • Mechanisms of phase transformations within the miscibility gap of Fe-rich Fe-Al alloys
    • (1976) Acta Metall. , vol.24 , pp. 425-437
    • Allen, S.1    Cahn, J.2
  • 3
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
    • (1979) Acta Metall. , vol.27 , pp. 1085-1095
    • Allen, S.1    Cahn, J.2
  • 13
    • 25344434889 scopus 로고
    • Phase diagram and critical behavior in Ising square lattice with nearest-and next-nearest-neighbor interactions
    • (1980) Phys. Rev. , vol.B21 , pp. 1941-1962
    • Binder, K.1    Landau, D.P.2
  • 25
  • 42
    • 0009926935 scopus 로고
    • Correlated random walks on lattices: A solvable alternative to Fokker-Planck equations in periodic potentials
    • (1989) Phys. Rev. , vol.B39 , pp. 12189-12199
    • Gobron, T.1    Gouyet, J.-F.2
  • 44
    • 26644437495 scopus 로고
    • Generalized Allen-Cahn equations to describe far-from-equilibrium order-disorder dynamics
    • (1995) Phys. Rev. , vol.E51 , pp. 1695-1710
    • Gouyet, J.-F.1
  • 50
    • 0001272564 scopus 로고
    • Lattice Boltzmann studies of immiscible two-phase flow through porous media
    • Figure reproduced by permission of American Geophysical Union
    • (1993) J. Geophys. Res. , vol.98 , pp. 6431-6441
    • Guntensen, A.K.1    Rothman, D.H.2
  • 52
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    • (1997) Phys. Rev. , vol.E56 , pp. 6811-6817
    • He, X.1    Luo, L.-S.2
  • 66
    • 0034206379 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance and stability
    • (2000) Phys. Rev. , vol.E61 , pp. 6546-6562
    • Lallemand, P.1    Luo, L.-S.2
  • 70
    • 4244198171 scopus 로고
    • Lattice gas model for metal-electrolyte interface
    • (1980) Surf. Sci. , vol.101 , pp. 49-56
    • Liu, S.H.1
  • 71
    • 0001262004 scopus 로고
    • Atomic mobility in Cahn's diffusion model
    • (1990) Phys. Rev. , vol.B41 , pp. 2279-2283
    • Martin, G.1
  • 72
    • 0000791580 scopus 로고
    • Relaxation rate of conserved and non-conserved order parameters in replacive transitions
    • (1994) Phys. Rev. , vol.B50 , pp. 12362-12366
    • Martin, G.1
  • 88
    • 0032690244 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulations of particles in non-zero-Reynolds-number flows
    • (1999) J. Fluid Mech. , vol.385 , pp. 41-62
    • Qi, D.1
  • 92
    • 0000364352 scopus 로고
    • Theory of one-dimensional hopping conductivity and diffusion
    • (1977) Phys. Rev. , vol.B16 , pp. 1393-1409
    • Richards, P.M.1
  • 98
    • 24844466239 scopus 로고
    • Lattice Boltzmann model for simulating flows with multiple phases and components
    • (1993) Phys. Rev. , vol.E47 , pp. 1815-1819
    • Shah, X.1    Chen, H.2
  • 107
    • 0032531661 scopus 로고    scopus 로고
    • An H-theorem for the lattice Boltzmann approach to hydrodynamics
    • (1998) Europhys. Lett. , vol.44 , pp. 144-149
    • Wagner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.