WorkshopsEquilibrium fluctuations for coagulating-fragmenting Brownian particles
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Smoluchowski's equation is used to describe the coagulation-fragmentation process macroscopically. Microscopically clusters of various sizes coalesce to form larger clusters and fragment into smaller clusters. I formulate a conjecture about the nature of the fluctuations of the microscopic clusters about the solutions to the Smoluchowski's equation. I also sketch the proof of the conjecture when the model is in equilibrium.
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Fraydoun Rezakhanlou
2011-07-15
13:40:00 - 14:25:00
國際會議廳 , Astronomy and Mathematics Building
Smoluchowski's equation is used to describe the coagulation-fragmentation process macroscopically. Microscopically clusters of various sizes coalesce to form larger clusters and fragment into smaller clusters. I formulate a conjecture about the nature of the fluctuations of the microscopic clusters about the solutions to the Smoluchowski's equation. I also sketch the proof of the conjecture when the model is in equilibrium.
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