简介:DrumDanceinSuburbanXigazeDOJEThebeautifulvillageknownasSemaislocatedapproximately10KmsouthofXigaze,anditisknownassemachoi.InT...
简介:Thispaperstudiestheinfluenceofafinitecontaineronanidealgas.ThetraceoftheheatkernelΘ(t)=∑∞μ=1exp(-tλμ),where{λμ}μ=1aretheeigenvaluesofthenegativeLaplacian-△n=-∑np(a/axp)2inRn(n=2or3),isstudiedforageneralmulti-connectedboundeddrumΩwhichissurroundedbysimplyconnectedboundeddomainsofΩaredetermined.ThethermodynamicquantitiesforanidealgasenclosedinΩareexaminedbyusingtheasymptoticexpansionsofΘ(t)forshort-timet.ItisshownthattheidealgascannotfeeltheshapeofitscontainerΩ,althoughitcanfeelsomegeometricalpropertiesofit.