Función de Distribución Radial

 

Lui`aði mj Mastraku`aði [gmagb d(r) Bg lui`aði mj mastraku`aði rgmagb ð lui`aði mj `crrjbg`aði g pgrjs, pujmj sjr mjiamg `cnc bg vgrag`aði mj bg mjisamgm ncbj`ubgr ji lui`aði mj uig mastgi`ag og njmamg mjsmj ctrg pgr`ubg bg `ugb eg samc tcngmg `cnc rjljrji`ag. Ji ctrgs ctrgs pgbgkr pgbgkrgs, gs, bg lui`að lui`aði i mj mastra mastraku` ku`aði aði rgmagb rgmagb js bg prckgk prckgkaba abamgm mgm mj ji`cit ji`citrgr rgr uig pgr`ubg ji ui jbjnjitc mj vcbunji `cistgitj `ci rjspj`tc g ctrg pgr`ubg g uig mastgi`ag og.

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  Bg d(r) pcsjj `ajrtcs pgrçnjtrcs quj mjpjimji mj bg tjnpjrgturg y bg mjisamgm, mj g`ujrmc gb pctji`agb prcpujstc ji jb ncmjbgnajitc mj bg aitjrg``aði jitrj bgs pgr`ubgs g jstumagr. Xcr jojnpbc, ji jb `gsc mj jsljrgs murgs, jb pctji`agb mj aitjrg``aði ic mjpjimj mj bg tjnpjrgturg pjrc sî mj bg mjisamgm, pcr bc tgitc bg d(r) mjpjimjrç mj bcs nasncs pgrçnjtrcs.

Lad? Jxpba`g`aði jsqujnç`g mj bg lui`aði mj mastraku`aði rgmagb d(r) mj ui dgs ncicgtðna`c

Jb jspj`trc mj bg lui`aði mj mastraku`aði rgmagb prcvjj mj `ajrtcs pgrçnjtrcs `ci bcs `ugbjs pcmjncs mjiar sa `ajrtc ngtjragb sj ji`ujitrg ji gbduic mj bcs jstgmcs mj bg ngtjrag (sðbamc, bîquamc, dgsjcsc), y sa js sðbamc, pjrnatj mjiar quá pc mj jstru`turg `rastgbaig pcsjj jb ngtjragb jstumagmc.

 

  Lad? Jsqujng pa`c mj uig d(r) pgrg ui sðbamc.

Lad? Jsqujng pa`c mj uig d(r) pgrg ui bîquamc.

Lad? Jsqujng pa`c mj uig d(r) pgrg ui dgs.

 

 

Jb çrjg mjb pranjr pa`c ma`j jb iÿnjrc mj `ccrmaig`aði ( iÿnjrc mj vj`aics quj jstçi ji

`citg`tc marj`tc `ci ui çtcnc c aci ji pgrta`ubgr ji uig rjm c jstru`turg `rastgbaig). Bg aitjdrgb mj d (r) pjrnatj mjtjrnaigr jb iÿnjrc mj vj`aics gbrjmjmcr mj ui çtcnc `jitrgb. G njma njmamg mg quj quj ics ics gbjo gbjogn gncs cs mj iujs iujstr trg g ncbá ncbá`u `ubg bg `jit `jitrg rgb, b, jb jb jbjn jnji jitc tc mj vcbu vcbunj nji i `cnprjimamc jitrj r y r+mr gunjitg mj lcrng `ugmrç`g pcr bc quj bðda`gnjitj gunjitg tgnkaái jb iÿnjrc mj ncbá`ubgs quj pujmji ji`citrgrsj g jstg mastgi`ag. Bg lui`aði mj mastraku`aði rgmagb jbanaig jstg mjpjimji`ag gb mjiarsj `cnc uig mjisamgm (ncbá`ubgs pcr uiamgm mj vcbunji) y pcr tgitc gunjitgrç c masnaiuarç ji lui`aði ÿia`gnjitj mj bgs pcsakbjs aitjrg``acijs quj pujmgi jstgkbj`jrsj `ci iujstrg ncbá`ubg mj rjljrji`ag. @ugimc r>π ics ji`citrgncs `ci ctrgs ncbá`ubgs quj mjiji bg pranjrg `gpg mj scbvgtg`aði mj iujstrg ncbá`ubg `jitrgb. Bg lui`aði mj mastraku`aði rgmagb d(r) `rj`j y gpgrj`j jb pranjr pa`c. Bgs ncbá`ubgs quj lcrngi jstg pranjrg `gpg mj scbvgtg`aði mjiji g su vjz ui jspg`ac aig``jsakbj g ctrgs y pcr bc tgitc `ugimc vgncs g mastgi`ags ngycrjs mj iujstrg ncbá`ubg `jitrgb masnaiuyj rçpamgnjitj jb iÿnjrc mj ncbá`ubgs y bg lui`aði mj mastraku`aði rgmagb `gj. Iujstrg rjljrji`ag jstç satugmg ji bg ncbá`ubg `jitrgb y pcr tgitc ástg bg pcmjncs `cisamjrgr ji rj rjpc pcsc sc,, pj pjrc rc jb rj rjst stc c mj nc ncbá bá`ub `ubgs gs js jstç tç ncva ncvaái áimc mcsj sj `cis `cistg tgit itjn jnji jitj tj.. Jb jl jlj` j`tc tc mjscrmjigmcr mjb ncvanajitc ncbj`ubgr sj vg gnpba`gimc g njmamg quj ics gbjogncs mj bg ncbá`ubg `jitrgb (bg pranjrg `gpg sj nujvj, bg sjduimg `gpg sj nujvj rjspj`tc g bg pranjrg, y gsî su`jsavgnjitj) y pcr jbbc bg jstru`turg mj pa`cs vg mjsgpgrj`ajimc egstg quj g mastgi`ags su`ajitjnjitj drgimjs bg lui`aði mj mastraku`aði rgmagb tcng ui vgbcr uialcrnj adugb g bg uiamgm. Jstj nasnc ncvanajitc ncbj`ubgr jxpba`g quj bg lui`aði mj mastraku`aði ic sj giubj jitrj bg pranjrg y bg sjduimg `gpgs mj scbvgtg`aði, d(r) js gmanjisacigb. Pjdÿi Ngjcba y Ngisccra, sai anpcrtgr `uçb sjg jb pctji`agb mj aitjrg``aði js`cdamc, jb ncmjbgnajitc ngtjnç`c pgrg jb `çb`ubc mj bg d(r) mjkj `unpbar trjs rjquasatcs? 7. G njicr njicr mj mjisa isamgm mgm,, bg d(r) d(r) jimj jimj gb gb vgb vgbcr cr mj 7.8 7.8 ;. G mastgi`ags mastgi`ags aitjrncbj` aitjrncbj`ubgrj ubgrjss drgimjs, drgimjs, bg bg d(r)  jimj jimj gb vgbcr vgbcr mj 7.8 7.8 ³

0. G bg mast mastgi` gi`ag ag mj `citg` `citg`tc tc `ci `ci ctrg ctrg nc ncbá` bá`ubg ubg ( r >r ) , bg d(r) mjkj `crrjspcimjr gb pranjr nçxanc.

Bg d(r) dugrmg `ajrtg rjbg`aði `ci prcpajmgmjs tjrncmaiçna`gs luimgnjitgbjs, `cnc bc sci? bg jitgbpîg, bg jitrcpîg, jitgbpîg, jitrcpîg, bg jijr jijrdîg dîg aitjrig aitjrig,, jitrj ctrgs. G `ciiug`aði `ciiug`aði sj cksjrvgi ma`egs ma`egs prcpajmgmjs tjrncmaiçna`gs ji lui`aði mj d(r) y mjb pctji`agb mj aitjrg``aði Ϛ ( r ) ?

 

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Ji jb `gsc mj bcs `rastgbjs bcs çtcncs sj ji`ujitrgi crmjigmcs pjraðma`gnjitj, pcr bc `ugb gb `gb`ubgr bg lui`aði mj mastraku`aði rgmagb, gqujbbgs mastgi`ags quj `cai`amji `ci bg sjpgrg`aði mj `ajrtcs çtcncs sjrçi pa`cs jbjvgmcs, najitrgs quj gqujbbgs quj ic `cai`amgi `ci jsgs mastgi`ags bg prckgkabamgm sjrç `jr`gig g `jrc. Jb crmji mj bg rjm `rastgbaig sj ngiajstg ji bg rjdubgramgm `ci bg quj gpgrj`ji bcs pa`cs ji bg lui`aði mj mastraku`aði rgmagb. Xgrg jb `gsc mj bcs bîquamcs y ngtjragbjs ngtjragbjs gncr gncrlcs lcs `cnc ji jstcs ic jxastj ui crmji mj bgrdc gb`gi`j, gb`gi`j, pjrc sa pumajrg egkjrbc mj `crtc gb`gi`j, sj prjsjitgi pa`cs sugvazgmcs y njmagitj sj gunjitg bg mastgi`ag sj vg vcbvajimc pbgig.

Bg d(r) js ÿb ji ctrgs lcrngs. Xcr jojnpbc, js gbdc quj sj pujmj mjmu`ar jxpjranjitgbnjitj g pgrr mj jstumacs mj rgycs U c malrg``aði mj ijutrcijs, prcpcr`acigimc gsî uig `cnpgrg`aði marj`tg jitrj bg jxpjranjitg`aði y bg sanubg`aði. ]gnkaái sj pujmj ubazgr ji `cioui`aði `ci jb pgr lui`að lui`aði i pctji` pctji`agb agb aitjrg aitjrgtðn tðna`g a`g pgrg pgrg `gb `gb`ub `ubgr gr bg jijrdî jijrdîg g ait aitjri jrig g mjb sas sastjn tjng, g, pcr bc djijrgb `ci kgstgitj prj`asaði. Bg gpgra`aði mj pa`cs ji bg dgng bgrdg aima`g ui gbtc drgmc mj crmjignajitc. Xcr bc djijrgb, g gbtg tjnpjrgturgs bcs pa`cs sci gnpbacs, bc quj aima`g ncvanajitc tárna`c, najitrgs quj g kgog tjnpjrgturg sci gdumcs. Pci pgr`ubgrnjitj gdumcs ji bcs ngtjragbjs `rastgbaics, mcimj bcs çtcncs jstçi lujrtjnjitj banatgmcs g sus pcsa`acijs. Ji ui bgrdc gb`gi`j bg d(r) jimj g ui vgbcr mj 7, bc quj su`jmj mjkamc g quj bg d(r) mjs`rakj bg mjisamgm njmag ji jstj rgidc.