Effect of multiplicative noise on the self-induced aggregation kinetics of Brownian particles

Monoj Kumar Sen; Somrita Ray; Alendu Baura; Bidhan Chandra Bag

doi:10.1016/j.cplett.2013.01.014

Effect of multiplicative noise on the self-induced aggregation kinetics of Brownian particles

Monoj Kumar Sen, Somrita Ray, Alendu Baura, Bidhan Chandra Bag^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this Letter we have investigated the aggregation kinetics of Brownian particles. The dynamics of each individual is being guided by an overdamped Langevin equation of motion with a non-local drift arising out of the imbalance in the local distribution of the other individuals. Our study reveals that large sized clusters are formed at stationary state for multiplicative noise driven process compared to the additive one. The cluster formation kinetics is different for these cases. For additive noise, decay of cluster number follows the power law. But in case of multiplicative noise, multi-exponentially decaying function fits well to the simulation result.

Original language	English
Pages (from-to)	117-122
Number of pages	6
Journal	Chemical Physics Letters
Volume	559
DOIs	https://doi.org/10.1016/j.cplett.2013.01.014
State	Published - 20 Feb 2013
Externally published	Yes

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10.1016/j.cplett.2013.01.014

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title = "Effect of multiplicative noise on the self-induced aggregation kinetics of Brownian particles",

abstract = "In this Letter we have investigated the aggregation kinetics of Brownian particles. The dynamics of each individual is being guided by an overdamped Langevin equation of motion with a non-local drift arising out of the imbalance in the local distribution of the other individuals. Our study reveals that large sized clusters are formed at stationary state for multiplicative noise driven process compared to the additive one. The cluster formation kinetics is different for these cases. For additive noise, decay of cluster number follows the power law. But in case of multiplicative noise, multi-exponentially decaying function fits well to the simulation result.",

author = "Sen, {Monoj Kumar} and Somrita Ray and Alendu Baura and Bag, {Bidhan Chandra}",

note = "Funding Information: Alendu Baura and Somrita Ray are thankful to the Council of Scientific and Industrial Research, Government of India , for support.",

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AU - Sen, Monoj Kumar

AU - Ray, Somrita

AU - Baura, Alendu

AU - Bag, Bidhan Chandra

N1 - Funding Information: Alendu Baura and Somrita Ray are thankful to the Council of Scientific and Industrial Research, Government of India , for support.

PY - 2013/2/20

Y1 - 2013/2/20

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AB - In this Letter we have investigated the aggregation kinetics of Brownian particles. The dynamics of each individual is being guided by an overdamped Langevin equation of motion with a non-local drift arising out of the imbalance in the local distribution of the other individuals. Our study reveals that large sized clusters are formed at stationary state for multiplicative noise driven process compared to the additive one. The cluster formation kinetics is different for these cases. For additive noise, decay of cluster number follows the power law. But in case of multiplicative noise, multi-exponentially decaying function fits well to the simulation result.

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Effect of multiplicative noise on the self-induced aggregation kinetics of Brownian particles

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