When a cluster of particles is immersed in a uniform electric field , the particles are coupled together due to the mutual interaction among them . this interaction causes the dipole moment of the cluster to be dependent upon the spatial arrangement and relative permittivity of the particles and upon the cluster size . in this work , we attempt to estimate the dipole moment of finite cubic arrays of particles , in terms of that of particle chains which has been known . we assume that a chain may be replaced by a single equivalent sphere with the same dipole moment . with replacing the chain by equivalent sphere , a cluster is simplified to a planar array , and this planar array is simplified to a chain , then the dipole moment is obtained . numerical calculations are performed . it is found that our results are acceptable 置于均勻電場中的一簇球形顆粒,由于其內(nèi)部的相互作用而耦合在一起.這致使簇的感應(yīng)偶極矩與簇的幾何結(jié)構(gòu),大小以及顆粒的介電常數(shù)等參量有關(guān).試圖通過已知的鏈的偶極矩確定任意大小長方結(jié)構(gòu)的簇的偶極矩.假定顆粒鏈可以被具有同樣偶極矩的一個等效介質(zhì)球代替,并將具有空間結(jié)構(gòu)的顆粒簇處理成面結(jié)構(gòu)簇,再將面結(jié)構(gòu)簡化成一個顆粒鏈,從而確定簇的偶極矩.在這一過程中,通過不斷增加等效球的尺寸,將顆粒間的相互作用包含在簇的偶極矩中.數(shù)值分析了立方結(jié)構(gòu)簇的偶極矩,結(jié)果是可接受的
Abstract : when a cluster of particles is immersed in a uniform electric field , the particles are coupled together due to the mutual interaction among them . this interaction causes the dipole moment of the cluster to be dependent upon the spatial arrangement and relative permittivity of the particles and upon the cluster size . in this work , we attempt to estimate the dipole moment of finite cubic arrays of particles , in terms of that of particle chains which has been known . we assume that a chain may be replaced by a single equivalent sphere with the same dipole moment . with replacing the chain by equivalent sphere , a cluster is simplified to a planar array , and this planar array is simplified to a chain , then the dipole moment is obtained . numerical calculations are performed . it is found that our results are acceptable 文摘:置于均勻電場中的一簇球形顆粒,由于其內(nèi)部的相互作用而耦合在一起.這致使簇的感應(yīng)偶極矩與簇的幾何結(jié)構(gòu),大小以及顆粒的介電常數(shù)等參量有關(guān).試圖通過已知的鏈的偶極矩確定任意大小長方結(jié)構(gòu)的簇的偶極矩.假定顆粒鏈可以被具有同樣偶極矩的一個等效介質(zhì)球代替,并將具有空間結(jié)構(gòu)的顆粒簇處理成面結(jié)構(gòu)簇,再將面結(jié)構(gòu)簡化成一個顆粒鏈,從而確定簇的偶極矩.在這一過程中,通過不斷增加等效球的尺寸,將顆粒間的相互作用包含在簇的偶極矩中.數(shù)值分析了立方結(jié)構(gòu)簇的偶極矩,結(jié)果是可接受的