Sample-to-sample fluctuations in fragmentation and agglomeration processes

Sample to Sample Uctuations in Fragmentation and Agglomeration Processes

The uctuation dynamics in steady state fragmentation and aggregation processes is analyzed from a kinetic point of view. The uctuations n(x; t) in the number of particles of size between x and x + x, in a sample with average occupation number N(x), appear to behave like sums of uncorrelated events: < n(x; t) 2 >/ N(x). The implications of this fact for the applicability of a mean eld descriptio...

Sample to sample fluctuations in the random energy model

asymptotic property of order statistics and sample quntile

چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...

Sample-to-sample fluctuations of power spectrum of a random motion in a periodic Sinai model.

The Sinai model of a tracer diffusing in a quenched Brownian potential is a much-studied problem exhibiting a logarithmically slow anomalous diffusion due to the growth of energy barriers with the system size. However, if the potential is random but periodic, the regime of anomalous diffusion crosses over to one of normal diffusion once a tracer has diffused over a few periods of the system. He...

Sample-to-sample torque fluctuations in a system of coaxial randomly charged surfaces.

Polarizable randomly charged dielectric objects have been recently shown to exhibit long-range lateral and normal interaction forces even when they are effectively net-neutral. These forces stem from an interplay between the quenched statistics of random charges and the induced dielectric image charges. This type of interaction has recently been evoked to interpret measurements of Casimir force...