Basedondynamicrupturesimulationsonaplanarfaultinahomogeneoushalf-space,weinvestigatedthenucleationprocessesusingthetime-weakeningfrictionlaw.Boththecharacteristictimeandtherupturespeedinthenucleationasperityplayanimportantroleindeterminingrupturebehaviorsonafaultplanefollowingthetime-weakeningfrictionlaw,withwhichrupturestartsfromasinglepointinthenucleationasperityandpropagatesatagivenspeedtowardtheboundaryofthenucleationarea.Rupturewithasmallcharacteristictimeoralargerupturespeedinthenucleationasperitypropagatesearlierfromthehypocenter.Rupturefollowingtheslipweakeningfrictionlawrequiresasmallerradiusofnucleationpatchtohavesimilarrupturefrontcontoursofthetime-weakeningfrictionlaw.Eveniftherupturevelocityinthenucleationpatchofthetime-weakeningfrictionlawincreasestoinfinity,thepeaksliprateinthenucleationasperityissmallerthanthatoftheslip-weakeninglaw.Thepeakgroundvelocitydistributionsofrupturesfollowingthetwofrictionlawsarealsocompared.