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简介：Itisshownthatthecorticalbrainnetworkofthemacaquedisplaysahierarchicallyclusteredorganizationandtheneuronnetworkshowssmall-worldproperties.Nowthetwofactorswillbeconsideredinourmodelandthedynamicalbehaviorofthemodelwillbestudied.Westudythecharactersofthemodelandfindthatthedistributionofavalanchesizeofthemodelfollowspower-lawbehavior.

简介：Researchonparticulatecharacteristicshasbeenanimportantfrontierinphysicsandchemistryduringthepastdecades.Ithashoweverbeenmostlyfocusedongranularmaterialswithshort-rangeinteractions.Inthiswork,itwasfoundthatthepowerlawofparticlesizedistributionappliedtothelong-rangeinteractingsystemoffloatingdustinair,fromwhichwededucedthatself-organizedcriticalitymightholdforfloatingdustjustasgranularmaterialswithshort-rangeinteractions.Thisfeaturemayrevealunderlyingkineticmechanisms,importantindispersedparticlesystems.Inindustry,powerlawofsizedistributionofdispersedparticlescanbeusedtoinvestigatethechangeofdustsize,andthepowerlawparametercouldbetakenasanimportantindexfordustseparation.

简介：Neglectingtheconsumptionofthematerial,asteadyincompressibleflowofanexothermicreactingthird-gradefluidwithviscousheatinginacircularcylindricalpipeisnumericallystudiedforbothcasesofconstantviscosityandReynolds’viscositymodel.Thecoupledordinarydifferentialequationsgoverningtheflowincylindricalcoordinates,aretransformedintodimensionlessformsusingappropriatetransformations,andthensolvednumerically.SolutionsusingMaplearepresentedintabularformandgivenintermsofdimensionlesscentralfluidvelocityandtemperature,skinfrictionandheattransferrateforthreeparametricvaluesintheReynolds’case.Thenumericalresultsforthevelocityandtemperaturefieldsarealsopresentedthroughgraphs.Bifurcationsarediscussedusingshootingmethod.Comparisonsarealsomadebetweenthepresentresultsandthoseofpreviouswork,andthusverifythevalidityoftheprovidednumericalsolutions.Importantpropertiesofthermalcriticalityareprovidedforvariableviscosityparameterandreactionorder.Furthernumericalresultsarepresentedintheformoftablesandgraphsfortransitionofphysicalparameters,whilevaryingcertainflowandfluidmaterialparameters.Also,theflowbehaviourofthereactivefluidofthird-gradeiscomparedwiththoseoftheNewtonianreactivefluid.

简介：基于小世界网络在一个pulse-coupledintegrate-and-fire神经原模型变老和自我组织的criticality的效果被学习了。我们给老化网络，平均最短的路径长度，我们的网络的直径，和聚类的系数的度分发，并且发现我们的神经原模型显示幂定律行为，并且与然后增加的连接增加的棕土，老化的效果变得越来越小。这证明如果大脑以自我组织的criticality状态工作，它能减轻老化引起的一些效果。