1
|
Baidakov VG, Protsenko SP, Bryukhanov VM. Nucleation and relaxation processes in weak solutions: molecular dynamics simulation. MOLECULAR SIMULATION 2022. [DOI: 10.1080/08927022.2022.2062348] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Vladimir G. Baidakov
- Institute of Thermal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
| | - Sergey P. Protsenko
- Institute of Thermal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
| | - Vasiliy M. Bryukhanov
- Institute of Thermal Physics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
| |
Collapse
|
2
|
Shchekin AK, Kuchma AE. The Kinetic Theory for the Stage of Homogeneous Nucleation of Multicomponent Droplets and Bubbles: New Results. COLLOID JOURNAL 2020. [DOI: 10.1134/s1061933x20030102] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
|
3
|
Kuchma AE, Shchekin AK. Multicomponent condensation on the nucleation stage. J Chem Phys 2019; 150:054104. [DOI: 10.1063/1.5077006] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
Affiliation(s)
- Anatoly E. Kuchma
- St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia
| | - Alexander K. Shchekin
- St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia
| |
Collapse
|
4
|
Iwamatsu M. Steady-state nucleation rate and flux of composite nucleus at saddle point. J Chem Phys 2012; 136:204702. [DOI: 10.1063/1.4721395] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023] Open
Affiliation(s)
- Masao Iwamatsu
- Department of Physics, Faculty of Liberal Arts and Sciences, Tokyo City University, Tokyo 158-8557, Japan.
| |
Collapse
|
5
|
van Putten DS, Glazenborg SP, Hagmeijer R, Venner CH. A multigrid method for N-component nucleation. J Chem Phys 2011; 135:014114. [PMID: 21744895 DOI: 10.1063/1.3605658] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
A multigrid algorithm has been developed enabling more efficient solution of the cluster size distribution for N-component nucleation from the Becker-Döring equations. The theoretical derivation is valid for an arbitrary number of condensing components, making the simulation of many-component nucleating systems feasible. A steady state ternary nucleation problem is defined to demonstrate its efficiency. The results are used as a validation for existing nucleation theories. The non-steady state ternary problem provides useful insight into the initial stages of the nucleation process. We observe that for the ideal mixture the main nucleation flux bypasses the saddle point.
Collapse
Affiliation(s)
- Dennis S van Putten
- Department of Mechanical Engineering, University of Twente, Drienerlolaan 5, 7522 NB Enschede, The Netherlands.
| | | | | | | |
Collapse
|
6
|
Alekseechkin NV. Nucleation theory in Langevin's approach and lifetime of a Brownian particle in potential wells. J Chem Phys 2008; 129:024512. [PMID: 18624543 DOI: 10.1063/1.2943310] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The multivariable theory of nucleation suggested by Alekseechkin [J. Chem. Phys. 124, 124512 (2006)] is further developed in the context of Langevin's approach. The use of this approach essentially enhances the capability of the nucleation theory, because it makes possible to consider the cases of small friction which are not taken into account by the classical Zel'dovich-Frenkel theory and its multivariable extensions. The procedure for the phenomenological determination of the nucleation parameters is described. Using the similarity of the Kramers model with that of nucleation, the lifetime of a Brownian particle in potential wells in various dimensionalities is calculated with the help of the expression for the steady state nucleation rate.
Collapse
Affiliation(s)
- N V Alekseechkin
- Akhiezer Institute for Theoretical Physics, National Science Centre Kharkov Institute of Physics and Technology, Akademicheskaya Street 1, Kharkov 61108, Ukraine.
| |
Collapse
|
7
|
Alekseechkin NV. Multivariable kinetic theory of the first order phase transitions. J Chem Phys 2006; 124:124512. [PMID: 16599702 DOI: 10.1063/1.2178781] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The problem of calculation of the steady state homogeneous nucleation rate in the multidimensional space of the variables describing a nucleus is considered. Within the framework of the theory proposed, expressions for the nucleation rate and the steady state distribution function of nuclei are derived. The expression for the nucleation rate is invariant with respect to the space dimensionality and, in particular, involves the result of the one-dimensional theory. The distribution function is obtained in the initial, physical variables. In connection with the analysis of restrictions on the current direction, the question of symmetry of the matrix of diffusivities is considered; on the basis of the detailed balance principle it is shown that this matrix is symmetric. The question of normalizing the equilibrium distribution functions is investigated and the physical picture of the equilibrium state is described. The procedure of reducing the multidimensional theory to the one-dimensional one is described.
Collapse
Affiliation(s)
- N V Alekseechkin
- Kharkov Institute of Physics and Technology, National Science Centre, Akademicheskaya Street 1, Kharkov 61108, Ukraine.
| |
Collapse
|
8
|
Fisenko SP, Wilemski G. Kinetics of binary nucleation of vapors in size and composition space. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004; 70:056119. [PMID: 15600704 DOI: 10.1103/physreve.70.056119] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/19/2004] [Indexed: 05/24/2023]
Abstract
We reformulate the kinetic description of binary nucleation in the gas phase using two natural independent variables: the total number of molecules g and the molar composition x of the cluster. The resulting kinetic equation can be viewed as a two-dimensional Fokker-Planck equation describing the simultaneous Brownian motion of the clusters in size and composition space. Explicit expressions for the Brownian diffusion coefficients in cluster size and composition space are obtained. For characterization of binary nucleation in gases three criteria are established. These criteria establish the relative importance of the rate processes in cluster size and composition space for different gas phase conditions and types of liquid mixtures. The equilibrium distribution function of the clusters is determined in terms of the variables g and x. We obtain an approximate analytical solution for the steady-state binary nucleation rate that has the correct limit in the transition to unary nucleation. To further illustrate our description, the nonequilibrium steady-state cluster concentrations are found by numerically solving the reformulated kinetic equation. For the reformulated transient problem, the relaxation or induction time for binary nucleation was calculated using Galerkin's method. This relaxation time is affected by processes in both size and composition space, but the contributions from each process can be separated only approximately.
Collapse
Affiliation(s)
- Sergey P Fisenko
- Department of Physics, University of Missouri-Rolla, Rolla, Missouri 65409-0640, USA
| | | |
Collapse
|
9
|
Li JS, Wilemski G. Temperature Dependence of a Kelvin Model for Binary Nucleation. J Phys Chem B 2001. [DOI: 10.1021/jp011690b] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jin-Song Li
- Department of Physics and Cloud and Aerosol Sciences Laboratory, University of Missouri−Rolla, Rolla, Missouri 65409-0640
| | - Gerald Wilemski
- Department of Physics and Cloud and Aerosol Sciences Laboratory, University of Missouri−Rolla, Rolla, Missouri 65409-0640
| |
Collapse
|
10
|
Kathmann SM, Hale BN. Monte Carlo Simulations of Small Sulfuric Acid−Water Clusters. J Phys Chem B 2001. [DOI: 10.1021/jp0116499] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- S. M. Kathmann
- Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland, Washington 99353, and Physics Department, University of MissouriRolla, Rolla, Missouri 65409
| | - B. N. Hale
- Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland, Washington 99353, and Physics Department, University of MissouriRolla, Rolla, Missouri 65409
| |
Collapse
|
11
|
Li JS, Maksimov IL, Wilemski G. Genuine saddle point and nucleation potential for binary systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000; 61:R4710-3. [PMID: 11031508 DOI: 10.1103/physreve.61.r4710] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/23/1999] [Indexed: 04/15/2023]
Abstract
A generalized nucleation potential is constructed for binary systems. The potential consists of the reversible work of cluster formation plus additional terms arising from various kinetic effects. We show that the major nucleation flux passes through the saddle point (termed the genuine saddle point) of this generalized nucleation potential. The generalized nucleation potential reduces to the kinetic potential of a unary system when one component vanishes. The genuine saddle point concept provides a convenient way to identify systems and conditions for which the ridge crossing phenomenon occurs. Our theory agrees approximately with exact numerical results.
Collapse
Affiliation(s)
- JS Li
- Department of Physics, University of Missouri-Rolla 65409-0430, USA
| | | | | |
Collapse
|
12
|
Izmailov AF, Myerson AS. Diffusion in supersaturated solutions: Application to the case of supersaturated protein solutions. J Chem Phys 2000. [DOI: 10.1063/1.480983] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
13
|
Demo P, Kozísek Z, Sásik R. Analytical approach to time lag in binary nucleation. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 59:5124-7. [PMID: 11969467 DOI: 10.1103/physreve.59.5124] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/01/1998] [Indexed: 04/18/2023]
Abstract
We present an analytical formula for the time required to establish steady state in a nucleating binary system. To test our solution, we evaluate the time lag for a range of activities of both components at the vapor-liquid transition, and show that our result is in much better agreement with a purely numerical simulation than other available analytical formulas, which overestimate the time lag by factors of from 2 to 200.
Collapse
Affiliation(s)
- P Demo
- Institute of Physics, Academy of Sciences of the Czech Republic, Cukrovarnická 10, 162 53 Praha 6, Czech Republic
| | | | | |
Collapse
|
14
|
Wilemski G. Binary nucleation kinetics. IV. Directional properties and cluster concentrations at the saddle point. J Chem Phys 1999. [DOI: 10.1063/1.478547] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
15
|
Li JS, Nishioka K. Direction of the steady state nucleation flux in the whole size space for binary systems. J Chem Phys 1999. [DOI: 10.1063/1.478486] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
16
|
Baidakov VG. Nucleation in superheated gas-saturated solutions. I. Boiling-up kinetics. J Chem Phys 1999. [DOI: 10.1063/1.478275] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
17
|
|
18
|
Taleb DE, McGraw R, Mirabel P. Time lag effects on the binary homogeneous nucleation of aerosols in the wake of an aircraft. ACTA ACUST UNITED AC 1997. [DOI: 10.1029/97jd00608] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
|
19
|
Baidakov VG, Kaverin AM, Boltachev GS. Nucleation in superheated liquid argon–krypton solutions. J Chem Phys 1997. [DOI: 10.1063/1.473585] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
20
|
Wyslouzil BE, Wilemski G. Binary nucleation kinetics. III. Transient behavior and time lags. J Chem Phys 1996. [DOI: 10.1063/1.471953] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
21
|
Wilemski G, Wyslouzil BE. Binary nucleation kinetics. I. Self‐consistent size distribution. J Chem Phys 1995. [DOI: 10.1063/1.469823] [Citation(s) in RCA: 76] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
22
|
Wyslouzil BE, Wilemski G. Binary nucleation kinetics. II. Numerical solution of the birth–death equations. J Chem Phys 1995. [DOI: 10.1063/1.469824] [Citation(s) in RCA: 82] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
23
|
|
24
|
Shi FG. Dynamic scaling and its asymptotic power law limit of the nonequilibrium distribution of crystallites within partially crystallized α-Si matrix. ACTA ACUST UNITED AC 1994. [DOI: 10.1016/0956-716x(94)90330-1] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
|
25
|
Shinagawa H, Hamada T, Okuyama K, Wyslouzil BE. A Theoretical Evaluation of Liquid Condensate Formation by Heterogeneous Nucleation from a Benzene and Cyclohexane Vapor Mixture. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 1994. [DOI: 10.1252/jcej.27.249] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
| | - Takuya Hamada
- Department of Chemical Engineering, Hiroshima University
| | - Kikuo Okuyama
- Department of Chemical Engineering, Hiroshima University
| | | |
Collapse
|
26
|
Hoyt J, Sundar G. Higher order approximations in the Shi-Seinfeld-Okuyama description of transient nucleation. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0956-716x(93)90273-u] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
|
27
|
|
28
|
Sundar G, Hoyt JJ, Spooner S. Nucleation and growth in Al-Zn: A test of the Langer-Schwartz model. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:14266-14269. [PMID: 10003515 DOI: 10.1103/physrevb.46.14266] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
|
29
|
Master equation for site distributions describing barrier crossing in the presence of anisotropic diffusion. Chem Phys 1992. [DOI: 10.1016/0301-0104(92)87066-i] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
|