社會系統(tǒng)中催化驅(qū)使的聚集動力學研究.pdf

1、曲阜師范大學碩士學位論文社會系統(tǒng)中催化驅(qū)使的聚集動力學研究姓名：王海鋒申請學位級別：碩士專業(yè)：凝聚態(tài)物理指導教師：孔祥木林振權(quán)20070401曲阜師范大學碩士研究生學位論文AbstractThephenomenonof剮瞻球罾抵∞growthispopularandimporta丑tforawidevarietyoffieldsinnature，suchasphysics，biologychemistrymedicineandsocio

2、logyTheodginallystudiedmechanismisthepuredusterclusteragg陀gationprocessbutrecentlytheresearcheshadbeensteadilyex怔啦dedtoaggregationphenomenawithmuchcomplexmechanismsEspeciallymuchattentionhasbeendevoted幻thegeneralizedaggr

3、egationphenomenainsociologyandeconomyInthispapef’usingmeanfieldtheoryandSmoluchowskirateequationwestudiedtheinfluenceofcatalyzedbirthandcatalyzeddeathtothescalihgbehaviorsoftheconventionalmigrationdrivenaggregationproces

4、sinsociologyandeconomyThecontentofthispaperincludes：Two∞ialyzcd蛐modelsofnspeciesaggregateswithmigrationdrivengrowthprocessesarcproposedandsmdiedInthefirstcatalyzedbirthmodel，theevolutionbehaviorofaggregatesizedistributio

5、na：(t)ofA‘speciesdependscruciallyOnthevalueofthecatalysisrateparametero：(1)a：(t)obeystheconvemionalscalinglawinthecaseofv≤0，(2)a：(t)satisfiesamodifiedseatingforminthecaseofv0Inthesecondmutually酬yzedbirthmodel，thel【im婀cbe

6、haviorsofthesystemarefoundIofallintotwocategoriesforthedifferemv：(1)growthobeyingconventionalscalingformwithys0。(2)gelling砒finimtimewithy0Amigrationdrivenaggregationmodelandaselfaggregationgrowthmodelofthreespecieswithth

7、ecompetitionbc“vefncatatyzodbirthandcatalyzed蛐areproposedandstudiedTheresultstells：(1)whenthemigrationdrivenaggregation(selfaggregation)dominatestheprocess，ak(t)satisfiestheconventionalsc81jngform(2)whentheoatai剛birthdom