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1、APRIL15,1940PHYSICALREVIEWVOLUME57ATheoryofSparkDischargeJ.M.MEEKDepartmentofPhysics,UniversityofCalifornia,Berkeley,California(ReceivedFebruary13,1940)Thebreakdownofauniformfieldisconsideredtooccuranequationforbreakdownisdeveloped,andreferencetobythetransiti
2、onofanelectronavalancheproceedingfromn/p—X/pcurvesenablesthepotentialrequiredforbreak-cathodetoanodeintoaself-propagatingstreamer,whichdowntobedetermined.Satisfactoryagreementbetweendevelopsfromanodetocathodetoformaconductingcalculationandexperimentisfoundina
3、irforvaluesoffilamentbetweentheelectrodes.Acriterionisputforwardpressuretimesgaplengthdowntopb100mmHgXcm.forsuchatransition,viz.,astreamerwilldevelopwhentheThetheorydoesnotconformabsolutelytoPaschen'slaw,radialfieldaboutthepositivespacechargeinanelectronbutth
4、edeviationsarewithinthepresentdaymarginsofavalancheattainsavalueoftheorderoftheexternalexperimentalerror.Forlowervaluesofpbthedeviationappliedfield.Forthenphotoelectronsintheimmediatebetweencalculationandexperimentisexplainedbythevicinityoftheavalanchewillbed
5、rawnintothestemofthefactthatthedensityofphoto-ionizationbecomessmall,avalancheandwillgiverisetoaconductingfilamentofandthesecondarymechanism,y,isobservedinthisregion,plasma,andaself-propagatingstreamerproceedstowardssothatclassicaltheoryapplies.Thetheoryisind
6、icatedtothecathode.Thetheorythusdependsonionizationbybeconsistentwithalltherequirementssofarestablishedelectronsandphoto-ionizationinthegasanddispenseswithinconnectionwithsparksforlargep5uptothelightningtheclassicalassumptionofionizationbypositiveionsindischa
7、rge.thegasorsecondaryactionsatthecathode.OnthisbasisINTRoDUcTIoNInrecentyears,however,ithasbecomein-creasinglyapparentthatthetheoryisentirelyNtheearly1900'sJ.S.Townsend'evolvedhisinapplicablewhenextrapolatedtosparksforp8--nowclassicaltheoryofthemechanismofgre
8、aterthanabout200mmHggcminair,andsparkdischargeonthebasisofmeasurementsanalogousvaluesinothergases.ThereasonsformadeathighvaluesofX/p,theratiooffieldthisconclusionmaybestatedbrieflyasfollo