Numerical calculation of the rate of homogeneous gas–liquid nucleation in a Lennard-Jones system

We report a computer-simulation study of the absolute rate of homogeneous gas–liquid nucleation in a Lennard-Jones system. The height of the barrier has been computed using umbrella sampling, whereas the kinetic prefactor is calculated using molecular dynamics simulations. The simulations show that the nucleation process is highly diffusive. We find that the kinetic prefactor is a factor of 10 larger than predicted by classical nucleation theory.

[1]  Joseph Katz,et al.  Condensation of a supersaturated vapor. XII. The homogeneous nucleation of the n‐alkanes , 1970 .

[2]  G. Torrie,et al.  Monte Carlo free energy estimates using non-Boltzmann sampling: Application to the sub-critical Lennard-Jones fluid , 1974 .

[3]  Mark E. Tuckerman,et al.  Explicit reversible integrators for extended systems dynamics , 1996 .

[4]  Y. Viisanen,et al.  Measurement of the molecular content of binary nuclei. II. Use of the nucleation rate surface for water–ethanol , 1994 .

[5]  David Chandler,et al.  Statistical mechanics of isomerization dynamics in liquids and the transition state approximation , 1978 .

[6]  S. Girshick Comment on: "Self-consistency correction to homogeneous nucleation theory" , 1991 .

[7]  D. Oxtoby Homogeneous nucleation: theory and experiment , 1992 .

[8]  C. Luijten,et al.  Classical binary nucleation theory applied to the real mixture n-nonane/methane at high pressures , 1995 .

[9]  G. Meier,et al.  Homogeneous nucleation of supersaturated vapors , 1989 .

[10]  Ralph E. Christoffersen,et al.  Algorithms for Chemical Computations , 1977 .

[11]  M. J. Ruiz-Montero,et al.  Efficient schemes to compute diffusive barrier crossing rates , 1997 .

[12]  H. C. Andersen Molecular dynamics simulations at constant pressure and/or temperature , 1980 .

[13]  Y. Viisanen,et al.  Measurement of the molecular content of binary nuclei. Use of the nucleation rate surface for ethanol–hexanol , 1993 .

[14]  D. Oxtoby,et al.  Nonclassical nucleation theory for the gas-liquid transition , 1988 .

[15]  Daan Frenkel,et al.  Computer simulation study of gas–liquid nucleation in a Lennard-Jones system , 1998 .

[16]  J. Katz,et al.  Resolution of the Problems of Replacement Free Energy, 1/S, and Internal Consistency in Nucleation Theory by Consideration of the Length Scale for Mixing Entropy , 1997 .

[17]  H. Reiss,et al.  Homogeneous nucleation rates for water , 1993 .

[18]  R. Becker,et al.  Kinetische Behandlung der Keimbildung in übersättigten Dämpfen , 1935 .

[19]  Frank H. Stillinger,et al.  Rigorous Basis of the Frenkel-Band Theory of Association Equilibrium , 1963 .

[20]  G. Ciccotti,et al.  Constrained reaction coordinate dynamics for the simulation of rare events , 1989 .

[21]  H. Reiss Treatment of droplike clusters by means of the classical phase integral in nucleation theory , 1970 .

[22]  G. Wilemski The Kelvin equation and self‐consistent nucleation theory , 1995 .

[23]  H. Reiss,et al.  Toward a molecular theory of vapor-phase nucleation. V. Self-consistency in the decoupled dimer limit , 1997 .

[24]  S. Nosé A unified formulation of the constant temperature molecular dynamics methods , 1984 .

[25]  M. S. El-shall,et al.  Analysis of homogeneous nucleation data of polar molecules: Vapor association, dipole orientation, and elongated clusters , 1993 .

[26]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[27]  Mark E. Tuckerman,et al.  Reversible multiple time scale molecular dynamics , 1992 .

[28]  Daan Frenkel,et al.  Simulation of homogeneous crystal nucleation close to coexistence , 1996 .

[29]  Rita J. Maurice,et al.  Introduction to Modern Statistics. , 1957 .

[30]  M. S. El-shall,et al.  Homogeneous nucleation in supersaturated vapors of polar molecules: Acetonitrile, benzonitrile, nitromethane, and nitrobenzene , 1993 .

[31]  D. Chandler,et al.  Introduction To Modern Statistical Mechanics , 1987 .

[32]  J. Lothe,et al.  RECONSIDERATIONS OF NUCLEATION THEORY , 1962 .

[33]  C. Luijten,et al.  Binary nucleation rate measurements of n-nonane/methane at high pressures , 1995 .