کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
978350 | 1480195 | 2007 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exact solution of a one-dimensional Boltzmann equation for a granular tracer particle
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We consider a one-dimensional system consisting of a granular tracer particle of mass M in a bath of thermalized particles each of mass m . When the mass ratio, M/mM/m, is equal to the coefficient of restitution, αα, the system maps to a one-dimensional elastic gas. In this case the Boltzmann equation can be solved exactly. We also obtain expressions for the velocity autocorrelation function and the diffusion coefficient. Numerical simulations of the Boltzmann equation are performed for M/m≠αM/m≠α where no analytical solution is available. It appears that the dynamical features remain qualitatively similar to those found in the exactly solvable case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 373, 1 January 2007, Pages 313–323
Journal: Physica A: Statistical Mechanics and its Applications - Volume 373, 1 January 2007, Pages 313–323
نویسندگان
J. Piasecki, J. Talbot, P. Viot,