Aggregation kinetics of popularity

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Aggregation kinetics of popularity

The tools of aggregation kinetics are applied to the “popularity” phenomena of single-lane tra)c clustering, and to the growth of a network that mimics citations of scienti+c publications. In the latter, the network is built by introducing papers (new nodes) one at a time, with preferential linking to more popular previously existing nodes. From the rate equations, the distribution of node degr...

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Kinetics of aggregation-annihilation processes.

Irreversible aggregation and annihilation processes occur in many natural phenomena [1,2]. The kinetics of each of these processes is well understood both on the mean-field level which provides an accurate description when fluctuations in reactant densities can be ignored [3,1,4] and in the fluctuation-dominated regime which occurs in low-dimensional systems, see [5], and references therein. It...

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Kinetics of aggregation with choice.

We generalize the ordinary aggregation process to allow for choice. In ordinary aggregation, two random clusters merge and form a larger aggregate. In our implementation of choice, a target cluster and two candidate clusters are randomly selected and the target cluster merges with the larger of the two candidate clusters. We study the long-time asymptotic behavior and find that as in ordinary a...

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Interpreting the aggregation kinetics of amyloid peptides.

Amyloid fibrils are insoluble mainly beta-sheet aggregates of proteins or peptides. The multi-step process of amyloid aggregation is one of the major research topics in structural biology and biophysics because of its relevance in protein misfolding diseases like Alzheimer's, Parkinson's, Creutzfeld-Jacob's, and type II diabetes. Yet, the detailed mechanism of oligomer formation and the influen...

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Aggregation Kinetics in “ Dry ” and “ Wet ” Environments

We investigate the kinetics of constant-kernel aggregation which is augmented by either: (a) evaporation of monomers from finite-mass clusters , or (b) continuous cluster growth – i. e., condensation. The rate equations for these two processes are analyzed using both exact and asymptotic methods. In aggregation-evaporation, if the evaporation is mass conserving, i. e., the monomers which evapor...

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ژورنال

عنوان ژورنال: Physica A: Statistical Mechanics and its Applications

سال: 2002

ISSN: 0378-4371

DOI: 10.1016/s0378-4371(02)00518-6