熵勢壘和空間分布摩擦系數(shù)對布朗粒子輸運的影響.pdf

1、南昌大學(xué)碩士學(xué)位論文熵勢壘和空間分布摩擦系數(shù)對布朗粒子輸運的影響姓名：劉久亮申請學(xué)位級別：碩士專業(yè)：理論物理指導(dǎo)教師：何濟洲20100601AbstractABSTRACTFluctuationDissipationTheorem(FDT)is一柏importanttheoryinthenonequilibriumstatisticalphysicsItcarlwellexplaintheproblemsoftheenergyconve

2、rsionandparticlestransportprocesswherefluctuationsplayamajorrole：fluids，mesoscopicandbiologicalsystemsBrownianmotionisasignificantmodelofFDTthemainresearchistheenergyconversionofthermalfluctuationsandtransportprocessofmi

3、croparticlesfarfromequilibriumTheinvestigationonthetransportprocessesofBrownianparticleprovidestheoreticalguidancefordevelopingmolecularmotorsInthepresentthesiswewillinvemigatethetransportprocessofBrownianparticlesintwot

4、ypicalenvironments：oneiSintheexistenceofentropybarrier；theotheriSinthespacedependentfrictioncoe伍cientInchapter1weabstractlyintroducethebackgroundofBrownianmotion，thetwowellknownmodelsofnonequilibriumphysicsandthesignific

5、anceofrelatedInchapterIIseveralmethodsinthedescriptionofthedynamicalevolutionofBrownianparticlesaresummarizedbrieflyInchapterIII，amodelofaBtlttikerLandauermotorwhichisapositiondependenttemperaturedrivenBrownianmotorwithe

6、ntropicandenergybarriershavebeenbuiltandbehaviorofthecurrentofBrownianparticleshasbeenstudiedItisfoundthatthemotionoftheBrownianparticlesisinfluencedbytheshapeofthechannelTheexistenceofanentropicbarriercancauseanasymmetr

7、iccurrentastheflatnessratiooftheshapevariesThereexistsanoptimizedflatnessratio(nonzero)atwhichthecurrentreachesitsmaximumvalueInchapterIVtherelationshipbetweenthedynamicsofanexcesschargecarrierevolvinginthechargespacehav

8、ebeenestablishedTheexcesschargecarderinthenonlinearresistanceisproposedtobeakindofBrownianparticlesmovingintheenvironmentwithspacedistributionfrictioncoemcientSolvingtheFokkerPlanckequationoftheexcesschargecardertherelat