Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)

在扩散限制凝聚(DLA)模型基础上,采用Monte Carlo方法模拟了具有幂次相互作用的磁性粒子动力学凝聚过程.重点研究了在不同幂指数α值下团簇的形貌及其分形维数Df随耦合参数βC的演化规律.模拟结果表明:对于较大的α值,即α=5时,团簇形貌随βC的变化较小,其分形维数Df 一般在1.60~1.70;而随着α值的减小,团簇形貌随参数βC有一明显的演化过程,在模拟范围内,分形维数Df在1.20~1.95....

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Main Authors: WANGFeng-fei(王凤飞), XUXiao-jun(许晓军), JINJin-sheng(金进生)
Format: Article
Language:zho
Published: Zhejiang University Press 2008-07-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2008.04.011
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author WANGFeng-fei(王凤飞)
XUXiao-jun(许晓军)
JINJin-sheng(金进生)
author_facet WANGFeng-fei(王凤飞)
XUXiao-jun(许晓军)
JINJin-sheng(金进生)
author_sort WANGFeng-fei(王凤飞)
collection DOAJ
description 在扩散限制凝聚(DLA)模型基础上,采用Monte Carlo方法模拟了具有幂次相互作用的磁性粒子动力学凝聚过程.重点研究了在不同幂指数α值下团簇的形貌及其分形维数Df随耦合参数βC的演化规律.模拟结果表明:对于较大的α值,即α=5时,团簇形貌随βC的变化较小,其分形维数Df 一般在1.60~1.70;而随着α值的减小,团簇形貌随参数βC有一明显的演化过程,在模拟范围内,分形维数Df在1.20~1.95.
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spelling doaj.art-72bdd50e5f844495a3adc3fbd3b4fb122024-03-29T01:58:26ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972008-07-0135440440810.3785/j.issn.1008-9497.2008.04.011Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)WANGFeng-fei(王凤飞)0XUXiao-jun(许晓军)1JINJin-sheng(金进生)2 1.Department of Physics, Zhejiang Institute of Education, Hangzhou 310023, China( 1.浙江教育学院物理系,浙江 杭州 310023) 2.Department of Physics, Zhejiang University, Hangzhou 310027, China( 2.浙江大学物理系,浙江 杭州 310027) 2.Department of Physics, Zhejiang University, Hangzhou 310027, China( 2.浙江大学物理系,浙江 杭州 310027)在扩散限制凝聚(DLA)模型基础上,采用Monte Carlo方法模拟了具有幂次相互作用的磁性粒子动力学凝聚过程.重点研究了在不同幂指数α值下团簇的形貌及其分形维数Df随耦合参数βC的演化规律.模拟结果表明:对于较大的α值,即α=5时,团簇形貌随βC的变化较小,其分形维数Df 一般在1.60~1.70;而随着α值的减小,团簇形貌随参数βC有一明显的演化过程,在模拟范围内,分形维数Df在1.20~1.95.https://doi.org/10.3785/j.issn.1008-9497.2008.04.011扩散限制凝聚模型幂次相互作用分形维数
spellingShingle WANGFeng-fei(王凤飞)
XUXiao-jun(许晓军)
JINJin-sheng(金进生)
Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)
Zhejiang Daxue xuebao. Lixue ban
扩散限制凝聚模型
幂次相互作用
分形维数
title Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)
title_full Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)
title_fullStr Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)
title_full_unstemmed Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)
title_short Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters(二维磁性团簇形貌及其分形维数的数值研究)
title_sort numerical study on the morphology and fractal dimension of two dimensional magnetic clusters 二维磁性团簇形貌及其分形维数的数值研究
topic 扩散限制凝聚模型
幂次相互作用
分形维数
url https://doi.org/10.3785/j.issn.1008-9497.2008.04.011
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