fr0h{lvwhqfh fxuyhv1 Rq wkh rkhuw - Virginia Tech · 2020. 9. 28. · wkh rzw phwkrgv shukdsv...
Transcript of fr0h{lvwhqfh fxuyhv1 Rq wkh rkhuw - Virginia Tech · 2020. 9. 28. · wkh rzw phwkrgv shukdsv...
Density
0 6 12 18 24 30 36
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+d, K@4; Yhuwlfdo ��@432:5
Density
0 6 12 18 24 30 36
Num
ber
of O
ccu
rren
ces
0
20
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80
100
120
140
+e, K@4; Yhuwlfdo ��@452:5Iljxuh 8175 Froxpq ghqvlw| klvwrjudpv dw W @ 3=; iru K @ 4;
816191 Fr0h{lvwhqfh Fxuyhv
Wkh hvwlpdwhv iru wkh fr0h{lvwhqfh fxuyhv iru v|vwhpv zlwk VSEF/ xvlqj d ydulhw|
ri ghqvlwlhv dqg whpshudwxuhv/ duh jlyhq lq Iljxuh 81761 Wkh huuru eduv lq Iljxuh
8176 uh�hfw xqfhuwdlqwlhv gxh wr wkh vwhs vl}h lq hlwkhu �� ru W / dv zhoo dv wkh vkruw
wlph vfdohv ri rxu uxqv +53N PFV,1 Dv d uhplqghu/ zh vhohfwhg wkhvh sdudphwhuv
wr olplw wkh vwxg| zlwklq rxu uhvrxufhv dqg wr surgxfh d _�uvw dssur{lpdwlrq%
+l1h1/ 43( dffxudf|, ri fr0h{lvwhqfh fxuyhv1 Wr duulyh dw ehwwhu hvwlpdwhv/ zh qhhg
wr kdyh odujhu v|vwhp vl}hv dqg orqjhu uxqv1 Rxu xvh ri pdq| phwkrgv/ prvwo|
vkrzlqj srlqwv zklfk olh zlwklq wkh huuru eduv ri hdfk rwkhu/ doorzv xv wr pdnh
vhyhudo frqfoxvlrqv1 Wkh K @ 6 fr0h{lvwhqfh fxuyh +Iljxuh 8176d, olhv _zlwklq%
wkh SEF fxuyh vkrzq lq Iljxuh 814:1 Olnhzlvh/ wkh K @ 7 fxuyh+Iljxuh 8176e,
olhv zlwklq wkh K @ 6 fxuyh1 Lq erwk ri wkhvh fdvhv/ wkh rughu vwdwh lv d vlqjoh
iruzdug wlowlqj vwuls1 Hyhq iru orz ghqvlwlhv/ wkh vwuls lv d v|vwhp vsdqqlqj w|sh1
Ixuwkhu pruh/ wkhvh qduurz vwulsv guliw durxqg wkh wruxv/ xqolnh wkh SEF fdvh1
Iru kljkhu vkliwv/ wkh wuhqg lv uhyhuvhg= wkh K @ < fxuyh +Iljxuh 8176f, olhv
vrphzkdw zlwklq wkh K @ 4; fxuyh +Iljxuh 8176g,1 Krzhyhu/ zh vkrxog qrwh wkdw
wkh rughuhg vwdwhv duh dfwxdoo| qrw wkh vdph1 Erwk glvsod| pdlqo| wkh pxowlso|
zrxqg vwuls ydulhw|/ wkrxjk v|vwhpv zlwk kljk ghqvlw| kdyh vl}h vsdqqlqj vwulsv
zlwk gl�huhqw =Dw orzhu ghqvlwlhv/ wkh lqkrprjhqhlwlhv wdnh wkh irup ri d guliwlqj
gursohw/ zklfk lv fohduo| d pruh frpsolfdwhg vwuxfwxuh1
Wkhuh lv d gl�huhqfh ehwzhhq wkh fr0h{lvwhqfh fxuyhv/ xvlqj wkh wzr phwkrgv
+Iljxuh 719d yv Iljxuh 814:,/ iru wkh v|vwhp zlwk SEF1 Zh eholhyh wklv lv gxh
wr �qlwh vl}h h�hfwv1 Lq dq| fdvh/ erwk phwkrgv jlyh xv vwulsv doljqhg zlwk wkh
�hog vr wkdw qr xqlirup guliwlqj rffxuv1 Krzhyhu/ iru v|vwhpv zlwk K @ 6> 7/ wkh
vwulsv lq orz ghqvlw| fdvhv guliw/ zlwk vshhgv ghfuhdvlqj zlwk lqfuhdvlqj zlgwk1
Dw / �� @ 4@5/ guliwlqj vwrsv1 Wkxv/ lw pd| eh gl�fxow wr dujxh wkdw wkh rughuhg
vwdwhv iru kdoi0�oohg v|vwhpv duh wkh vdph dv wkrvh dw rwkhu ghqvlwlhv dqg wkdw
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wkh wzr phwkrgv shukdsv phdvxuh wzr glvwlqfw fr0h{lvwhqfh fxuyhv1 Rq wkh rwkhu
kdqg/ frpsdulqj wkh uhvxowv iurp wkhvh wzr phwkrgv +Iljxuh 719e yv Iljxuh 8176d
dqg Iljxuh 719f yv Iljxuh 8176e,/ zh vhh wkdw gl�huhqfhv duh qr juhdwhu wkdq lq
wkh SEF fdvh1 E| frqwudvw/ wkh gl�huhqfh lv vljql�fdqwo| juhdwhu iru wkh v|vwhp
zlwk kljk vkliwv +Iljxuh 719g/h yv 8176f/g,1 Dv phqwlrqhg deryh/ wklv pd| eh
wudfhg wr wkh gudvwlfdoo| gl�huhqw rughuhg vwdwhv/ zlwk guliwlqj gursohwv yv1 zdq0
ghulqj pxowlvwulsv1 Lw lv fohdu wkdw rqo| ixuwkhu lqyhvwljdwlrqv fdq ohdg wr ehwwhu
xqghuvwdqglqj ri wkhvh fr0h{lvwhqfh fxuyhv1
Density
0.00 0.06 0.11 0.17 0.22 0.27 0.33 0.39 0.44 0.50
Tem
pera
ture
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
+d, K@6
Density
0.00 0.06 0.11 0.17 0.22 0.27 0.33 0.39 0.44 0.50
Tem
pera
ture
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
+e, K@7
Density
0.00 0.06 0.11 0.17 0.22 0.27 0.33 0.39 0.44 0.50
Tem
pera
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0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
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Density
0.00 0.06 0.11 0.17 0.22 0.27 0.33 0.39 0.44 0.50
Tem
pera
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0.0
0.2
0.4
0.6
0.8
1.0
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wkh K @ 9 fdvh/ zh kdyh uhvhuyhg glvfxvvlqj wklv plgvl}h vkliw xqwlo qrz1 Zh xvh
erwk ri wkh phwkrgv ghvfulehg lq Fkdswhuv 7 dqg 8 deryh iru hvwlpdwlqj wkh K@9
fr0h{lvwhqfh fxuyh1 Iru euhylw|/ zh zloo uhihu wr wkhvh dv Phwkrg L dqg Phwkrg
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wdq � @ �5@69 $ Wklv wlow lv ehwwhu vhhq zkhq wkh frq�jxudwlrq lv glvsod|hg odujhu
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zh vhh wkh k|eulg vwdwh iru whpshudwxuhv dv orz dv W @ 3=;1 Wkh frq�jxudwlrqv
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vxfk d odujh vwuls riwhq ehfrphv wkh vrxufh iru wkh lflfohv1 Deryh W @ 3=;/ wkh
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zrxog jlyh d ohvv yrodwloh hvwlpdwh wkdq wkh udul�hg1 Wdeoh 914 olvwv wkh foxvwhu vl}hv
dqg ghqvlwlhv iru wkh khdwlqj dqg frrolqj f|fohv1 Dv h{sodlqhg lq Fkdswhu 7/ wkh
hvwlpdwhv ri foxvwhu vl}hv dqg ghqvlwlhv lqfoxgh wkh kroh foxvwhuv1 Dw whpshudwxuhv
ehorz W @ 4=3/ wkh foxvwhu vl}h rq wkh khdwlqj dqg frrolqj f|fohv duh zlwklq wkh
huuru eduv ri hdfk rwkhu1 Dw W @ 4=3 dqg W @ 4=4 wkh uhvxowv duh qrw dv frqvlvwhqw1
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whpshudwxuhv duh xvhg1 D sorw ri wkh fxuyh lv vkrzq dorqj zlwk wkh Phwkrg LL
hvwlpdwh dw wkh hqg ri wklv fkdswhu +Iljxuh 9147d,1
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zlgh hydsrudwlqj +uljkw, hgjh zklfk dsshduv wr eh surgxflqj dq lflfoh1 Sduwlfohv
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Iljxuhv 915e dqg 915f lv d jrrg looxvwudwlrq ri wkh h{wudruglqdu| qdwxuh ri wkh
odujh �xfwxdwlrqv lq wkh K @ 9 v|vwhp1 Lflfohv fdq jurz dqg vkulqn/ dv zhoo dv
euhdn r� wr iruplqj wklq vwulsv1 Ri frxuvh/ gxh wr wkh VSEF/ doo vwulsv guliw/
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wkdw/ wkh v|vwhp ghyhorsv lqwr d pxowl0vwuls vwdwh zlwk qrqwulyldo zlqglqj +Iljxuhv
915i,1 E| frqwudvw/ vxfk vwdwhv duh vwdeoh xs wr W @ 3=: gxulqj wkh khdwlqj1 Wklv
skhqrphqrq ri k|vwhuhvlv/ dv zhoo dv wkh uroh ri phwdvwdelolw|/ zloo eh ixuwkhu
lqyhvwljdwhg lq wkh wzr vhfwlrqv ehorz1
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0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4
Inte
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1000
1500
2000
2500
+d, ��@692:5
T
0.3 0.5 0.7 0.9 1.1 1.1 0.9 0.7 0.5 0.3
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rna
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600
700
800
900
1000
+e, ��@;2:5
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whpshudwxuh/ edvhg rq foxvwhu vl}hv dorqh1 Krzhyhu/ dv zh zloo vhh/ wkh ehkdylru
ri wklv K @ 9 v|vwhp lv txlwh frpsoh{ lq wkh ��0W sodqh1 Rqo| dw vx�flhqwo| orz
ghqvlwlhv lv wkh wudqvlwlrq fohduo| lqwr d vwdwh zlwk rqh ru wzr odujh foxvwhuv ri wkh
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T
0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4
Ave
rag
e C
lust
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0
400
800
1200
1600
+d, ��@692:5
T
0.3 0.5 0.7 0.9 1.1 1.1 0.9 0.7 0.5 0.3
Ave
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0
25
50
75
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^59` N10w1 Ohxqj/ Sk|v1 Uhy1 Ohww1 99 786 +4<<4, dqg Lqw1 M1 Prg1 Sk|v1 F 6= 69:
+4<<5,> M10V1 Zdqj/ M1 Vwdw1 Sk|v1 ;5= 473< +4<<9,1
^5:` N1N1 Prq/ V1 Zdkvohehq/ G1S1 Odqgdx/ dqg N1 Elqghu/ Sk|v1 Uhy1 Ohww1 93
:3; +4<;;,
^5;` I1 S1 Ex�/ U1 D1 Oryhww dqg I1 K1 Vwloolqjhu/ Sk|v1 Uhy1 Ohww1/ 48 954 +4<98,>
E1 Zlgrp dqg M1V1 Urzolqvrq/ Prohfxodu Wkhru| ri Fdsloodulw| +R{irug/
4<;5,1
^5<` N10w1 Ohxqj dqg U1N1S1 ]ld/ M1 Sk|v1 D 59 O:6: +4<<6,1
^63` N10w1 Ohxqj/ M1 Vwdw1 Sk|v1 94 674 +4<<3,1
443
^64` Uxg}lqvn| dqg ]ld/ M1 Sk|v1 D 5< 9:4: +4<<9,1
^65` N1 Elqghu/ Prqwh Fduor Phwkrgv lq Vwdwlvwlfdo Sk|vlfv L +Vsulqj/ Ehuolq/
4<:<,1
^66` O1 S1 Ndgdqr�/ Sk|vlfv 5 596 +4<99,1
444
X�|B
Eluwkgdwh2Sodfh = Dxjxvw 47/ 4<97> Txhehf/ Fdqdgd
Pdulwdo Vwdwxv = pduulhg/ Pd| 54/ 4<;;
Fkloguhq= Pdwwkhz +eruq= Dxjxvw 5;/ 4<<6,
Vfrww +eruq= Mxo| 4:/ 4<<8,
Hgxfdwlrq=
4<;: E1Vf1 Hqjlqhhulqj Sk|vlfv dw Xqlyhuvlw| ri Frorudgr
4<<8 P1Vf1 dw Ylujlqld Sro|whfkqlf Lqvwlwxwh ) Vwdwh Xqlyhuvlw|
4<<; Sk1G1 dw Ylujlqld Sro|whfkqlf Lqvwlwxwh ) Vwdwh Xqlyhuvlw|
H{shulhqfh =
4<;:0 Hpsor|hg dw QVZFGG/ Gdkojuhq/ Y1D1
Uhvhdufk Lqwhuhvw=
� Qrq0htxloleulxp vwdwlvwlfdo phfkdqlfv
� Gulyhq0gl�xvlyh v|vwhpv
� Prqwh0Fduor vlpxodwlrq whfkqltxhv
� Hvwlpdwlrq Wkhru|
� Jhrghv|
445