The kinetic limit of a system of coagulating planar Brownian particles TeX Export

@misc{citeulike:266064, abstract = {We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order \$\epsilon\$. We assume that the initial number of particles is of the order of \$| \log \epsilon |. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.}, archivePrefix = {arXiv}, author = {Hammond, Alan and Rezakhanlou, Fraydoun}, citeulike-article-id = {266064}, citeulike-linkout-0 = {http://arxiv.org/abs/math.PR/0507522}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.PR/0507522}, day = {26}, eprint = {math.PR/0507522}, keywords = {0-student-andrievsky, 2d, ballistic-aggregation, brownian-motion}, month = {Jul}, posted-at = {2005-07-27 08:30:25}, priority = {2}, title = {The kinetic limit of a system of coagulating planar Brownian particles}, url = {http://arxiv.org/abs/math.PR/0507522}, year = {2005} }

TY - ELEC ID - citeulike:266064 L3 - citeulike-article-id:266064 N2 - We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order $\epsilon$. We assume that the initial number of particles is of the order of $| \log \epsilon |. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation. TI - The kinetic limit of a system of coagulating planar Brownian particles KW - 0-student-andrievsky KW - 2d KW - ballistic-aggregation KW - brownian-motion AU - Hammond, Alan AU - Rezakhanlou, Fraydoun PY - 2005/Jul/26/ UR - http://arxiv.org/abs/math.PR/0507522 ER -