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New analytical TEMOM solutions for a class of collision kernels in the theory of Brownian coagulation. / He, Q.; Shchekin, A.K.; Xie, M.-L.

In: Physica A: Statistical Mechanics and its Applications, Vol. 428, 2015, p. 435-442.

Research output: Contribution to journal › Article › peer-review

Harvard

He, Q, Shchekin, AK & Xie, M-L 2015, 'New analytical TEMOM solutions for a class of collision kernels in the theory of Brownian coagulation', Physica A: Statistical Mechanics and its Applications, vol. 428, pp. 435-442. https://doi.org/10.1016/j.physa.2015.01.051

APA

He, Q., Shchekin, A. K., & Xie, M-L. (2015). New analytical TEMOM solutions for a class of collision kernels in the theory of Brownian coagulation. Physica A: Statistical Mechanics and its Applications, 428, 435-442. https://doi.org/10.1016/j.physa.2015.01.051

Vancouver

He Q, Shchekin AK, Xie M-L. New analytical TEMOM solutions for a class of collision kernels in the theory of Brownian coagulation. Physica A: Statistical Mechanics and its Applications. 2015;428:435-442. https://doi.org/10.1016/j.physa.2015.01.051

Author

He, Q. ; Shchekin, A.K. ; Xie, M.-L. / New analytical TEMOM solutions for a class of collision kernels in the theory of Brownian coagulation. In: Physica A: Statistical Mechanics and its Applications. 2015 ; Vol. 428. pp. 435-442.

BibTeX

@article{49bd14235b9843f3bc062e2deb9be325,
title = "New analytical TEMOM solutions for a class of collision kernels in the theory of Brownian coagulation",
abstract = "New analytical solutions in the theory of the Brownian coagulation with a wide class of collision kernels have been found with using the Taylor-series expansion method of moments (TEMOM). It has been shown at different power exponents in the collision kernels from this class and at arbitrary initial conditions that the relative rates of changing zeroth and second moments of the particle volume distribution have the same long time behavior with power exponent −1, while the dimensionless particle moment related to the geometric standard deviation tends to the constant value which equals 2. The power exponent in the collision kernel in the class studied affects the time of approaching the self-preserving distribution, the smaller the value of the index, the longer time. It has also been shown that constant collision kernel gives for the moments in the Brownian coagulation the results which are very close to that in the continuum regime.",
keywords = "аэрозоли воздуха, агрегация, уравнение Смолуховского",
author = "Q. He and A.K. Shchekin and M.-L. Xie",
year = "2015",
doi = "10.1016/j.physa.2015.01.051",
language = "English",
volume = "428",
pages = "435--442",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - New analytical TEMOM solutions for a class of collision kernels in the theory of Brownian coagulation

AU - He, Q.

AU - Shchekin, A.K.

AU - Xie, M.-L.

PY - 2015

Y1 - 2015

N2 - New analytical solutions in the theory of the Brownian coagulation with a wide class of collision kernels have been found with using the Taylor-series expansion method of moments (TEMOM). It has been shown at different power exponents in the collision kernels from this class and at arbitrary initial conditions that the relative rates of changing zeroth and second moments of the particle volume distribution have the same long time behavior with power exponent −1, while the dimensionless particle moment related to the geometric standard deviation tends to the constant value which equals 2. The power exponent in the collision kernel in the class studied affects the time of approaching the self-preserving distribution, the smaller the value of the index, the longer time. It has also been shown that constant collision kernel gives for the moments in the Brownian coagulation the results which are very close to that in the continuum regime.

AB - New analytical solutions in the theory of the Brownian coagulation with a wide class of collision kernels have been found with using the Taylor-series expansion method of moments (TEMOM). It has been shown at different power exponents in the collision kernels from this class and at arbitrary initial conditions that the relative rates of changing zeroth and second moments of the particle volume distribution have the same long time behavior with power exponent −1, while the dimensionless particle moment related to the geometric standard deviation tends to the constant value which equals 2. The power exponent in the collision kernel in the class studied affects the time of approaching the self-preserving distribution, the smaller the value of the index, the longer time. It has also been shown that constant collision kernel gives for the moments in the Brownian coagulation the results which are very close to that in the continuum regime.

KW - аэрозоли воздуха

KW - агрегация

KW - уравнение Смолуховского

U2 - 10.1016/j.physa.2015.01.051

DO - 10.1016/j.physa.2015.01.051

M3 - Article

VL - 428

SP - 435

EP - 442

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -

ID: 3922954