Non-trivial exponents in the zero temperature dynamics of the 1D Ising and Potts models
Texte intégral
(2)
(3)
(4) !"#%$'&)(+*',-(+/.0% (546,7(8!$ 9#!(. :/;#$#4. <.=>. ,H/?/.=4. ?1@(. 1(. 23(+!. ACBD#.E%GF. $':. /:#(8&I.. JLKMNOPPQSRUTWV XYZK\[KJ]^_ a`Lcb R5deKfeghROci jlknm oWpPjZqNOrtsPgb8oub pWsPQvssPewxgzy sPk{| sQ}jc~hjQvOb jcp Id~}cPpgb gRd {Q}RZdJtZ ZK\K aU3IU3 73jgb pQSRtskUfe~}c eR hb {aQ}jpg wsk3_pscsPgssp]{IghRO~Qvb|gb3RQ {Ib pWQvgb sz¡PgsPO{I¢ csP%Ks sPQ bIrtQvsk cb Rg{£QvbQ sPQS ~¤jgb¥ sQvgbr]3{Icpnsk Rb¦pQvsW ¨§©g wzpW¢Qvb pªrtkQ}jk¨k «%UbO«%L¬ Qv¢¢ cR wxPg{skI QvbbQ b+gcwesPk®pQv{~S sPQ gb bhsPQ ~sPQ {I¯K¤7t¥ b RsPk¦ s°wxg~}cPN¯skLRhb pQ sW Z§©k p±ª¢ g r°~S_r²Rcj a³u§©¤´!¯µh¶· rtkIsPk¸O¹¢ gbbsº+«cPQv_pnrtQvskK»epQ {U~S sQvgb¦p¼~ cRsg¨º¾½)¿\ÁÀIwxg7£h ºZ½Ã¿ÅÄnwxgLªÂ' b R8ºZÆ.
(5) ªpenÆ. Ç'K. YLdtahKÅÄhÄK\ %kgPszÈ]Qvs~v%ÉÊ PgÈ{I¢ ^ sPPªMN hb c{IQ}jpg wËsPk3gsPs^p{IghRh~ sPg 3p{aQvsPscRUsg[gb ~¤g w°kh pWQ}jpYÍÌ sPsp {| bbsRRP_pPp_pÉ T ÌÎ g sgQ PRhZ°kh pWQ}Ï%ª%scsPQ}pWsPQSÏÁjg~ ªqNgP{|c~vL%¢EÐ PQ PcUZÌ kg{Igb¦R ÀcÄh
(6) ° Q}ptj_R¹|Ä cb j%K XL%P«hQ}jªR3°k pQSÏÁ¼È]ktÐ gQ}Ï%% dÑhj~S %°Òh
(7)
(8) OÒ
(9) UfeQÓwÔpNÕL«%OsPsP^ b jK `zMN¢ cPsP{absg wÔÈ]kgPsQ}jc~¤Ôkh pQ}jOpÈ]kZebQv«%^pQ s %y b jkcpWsPey
(10) OÒ]̤ÎLK m]%OP«hQ}jREÔkh pQ}Ï%R~uÖÅ°s^ sdgb ROb ph%Ð hd¾hj~} %°Òh
(11)
(12) Òh
(13) LfNQ×wÎp°ÕL«%ssP%ccb j%K.
(14) È]kpWsP Rh ¸gcwQvP«%^pQv~ve¢Pghj_pPp_pNk pe~vcRIsPgsPkRQSpPjgc«% Ig w~}cPZ« QvsW Igcw bgbusPQ «QS ~ jQvsQ}jc~% Ok «Q gpK]% jkZ¢ghjcppcp°Qvb¦j~v Rh]P_jsQvgbhWRQ pQ gb¢Pg~v{®p×
(15) u. u u u Äu u cb Rg{ pcÏ%bhsPQS ~¢ cPhQvbgewx {IbhscsPQvgb|{IghR~Sp
(16) À Òu Ó
(17) O ×
(18)
(19) u Rhg{|cQvb+PgcrtsPk {aghR~}pÓ
(20) OË b R+skZhQvbsPQSj¼gkbQ bIgcw]Q bsw jcp
(21) ×
(22) u Ó
(23) K oub+cb|c ~vQvO]r]gP×
(24) r]zk «%ZpWsP RhQvcRIpQ {I¢~ LROsP{IQvbQSpsQ}j±{aghR~gcwRhg{|cQvb gcrtsPk#Q b!gb?RQv{ab pQ gbK. È]kpW pWsP{. jgb¦pQ}pWspIg waHpWcÏÁb j gcwQvbhsPOP« ~SpI ~ gb. sPkZ~vQ b%KtYtsecjk+sQv{IªpWsP¢ skZsWr]gaj~ g%p_pszRg{|cQvb8rt ~ ~}ptQvb8sPkp psPO{. {I3 b R. bbQvkQ ~}csPrtkcpsPkgskËRg{|cQvbªrtc~v~SpRgLbgs{Igc«%%K¤%scPsPQ bertQvsPk3cb Rg{Q bQvsQ} ~ ~vObsk pNwxgZskaRg{|cQvb pr]apkgcr]_R5sk s3sPkwxjsPQ gb?§ © g wEsPk~vQ bUrtkQ}jk k pªbgs bjPgpPp_R¸h | bh |Rg{| Q b¸rE ~ ~¢+sgUsQv{IL¯ERcj prtQ sPk8¢ gcrN~Sr§©´W³ ¯·PµÁ¶ rtkW³ ¯·LQSpZsPk|«%^ ¸~ bsPkgcwLsk8Rg{|cQvb p3 ssQv{I¯3 b Rºt½)¿v
(25) cÀcÄ%ÀcÄÒ¿v¿ ¿±QSp 7bgb sPPQ «QS ~e¹h¢ gbbhs]sk pWg~ sPQ gb/gcw7sP^ b pjb RObs^ ~tcÏ% sQvgb³ bgsPQ}j¸sk saQvb PwxPb¦jÓ
(26) Ourn¦pcR|sPk3¹¢ gbbhsP~S scRIsPgIgN¢PcpWbseºh ÂÃ
(27) H ºv·KEYLp wxg3gskjPQvsQ}jc~°¹h¢ gbbhsp°ºQSpnbQ «%p ~°Q bsPkIpWb pasPk csZQvsªQSp¼sk|p {IZwxg ~ ~ QvbQvsPQS ~jgb RQ sPQ gb p³ ¢g «hQ}RhcR5sk sskajgP~S sPQ gb pªQvb¨sPkaQvbQ sPQ}c~jgb RQvsQvgbH |pkgPs cb·K oubIsPkz¢PcpWbhs]r]gPÎrLQvbh«%cpsQv sPesPkªpPc{INhQvb¦RUg wÔÏÁcpsQvgbwxgtpWQv{IQ ~}c±{aghR~}p rtQvskIpWsPghjk pWsPQSjNR hb c{IQ}jpÉsPktgbªRQ {Ib pWQvgb¦ ~opWQvbª{IghRh~cs]¡OPgªsP{a¢ O sPE b R Qvs^pnb^ ~vQSpPcsPQvgbsPg skIb^ ~tWpWscsP|gsPs^pZ{IghR~ K+oubHjgbspssPg8g¢P«hQvg p P_p~ sp
(28) Ó
(29) O gLc¢¢Pgjk+kOPLrtQ ~v~ 3{Ig%pWsP~v bh{IOPQ}jO ~ cj ¦p3pgw trnk¦_«%zbgs b8 ~vªsPgaR«%~ g¢|cb cb ~ sQ}jc~ ¢¢PgjkK »eªpQ {U~} sQvgb¸gcwsPkR hb c{IQ}jptg wskgbWRQ {Ib pWQvgb ~¤oWpQ bI{IghRh~rtQ sPk|wxPg {|cbsQ}j]Q bsjsPQ gb p s¡gZsPO{I¢ csPtQ}pRgbNwxgEZp ps{0g w"! rtQvsk+¢ QvghRQSjn gb¦R ¨jgb RhQvsPQ gb pKN¨pWs sLrtQvsk U^ b Rhg{. Â#
(30) Op¢Qvb p. Q bQvsQ}c~¤p¢Q b jgb¥ _. sPQ gb¨³ _jk+pW¢Qvb|QSp]QvbQ sPQ}c~v~ $# g#rtQvsPk|cÏ% c~¢Pg Q ~vQ s ·KËÈ]kª¢ÎR sQvbaP~ LsPgg wxPg{)jgbh¥ ^ sQvgb&%©E sZsQv{I¯zsPg+skb¹hsZjgb¥ csPQ gb&%©('*) ©ecsnsQv{I¯"#,+ ¯LQSp RgbZh Ijkg%gpQvbUgbpW¢Qvb.- st^ b Rg{ KÈ]kQSpNpW¢Qvb|Q}ptc~vQ bcRIrtQ sPk|Qvs^p]srgbQ kh gp.
(31).
(32) QÓwÔsPkcpWZsWr]gabQvk gpLcP¢ c ~ ~v~¤gzQ}p]¬ Qv¢¢ cR csLcb Rg{. QÓwÔsPksWr]gbQ kh gpªcP. g¢¢ gpQ sP×
(33) ÄuK¤7esc%NkPegsPQ {ItpWsP¢+¯Â#
(34) !£pWgZsPk¦ s]_jkIpW¢QvbIQ bUskzp psPO{ Q}p¢ÎR scRIgb8«%cLgb jL¢ bQ s]g wËsPQ {I%K¤È]kbar]ªjgbhs]sPkLsPgs ~bh{ t©gcw p¢Qvb ptrtkQ}jk|b«%]¬¦Qv¢¢ cR|bsQv~sQv{IL¯z³ skZbh{ O]g wÔbgb {Igc«hQvbpW¢Qvb pertpepkg rtb sPg3k «%LQvbhsPOPcpWsPQvbL¢Pg¢ PsQvcpQvb|pWg{IzRsP{IQ bQ}pWsPQSj±«%gs{IghR~Sp Ó
(35) ·^KÈ]kªRb¦pQvsW §©¤g wskcpWZpW¢Qvb¦p]Q}p]sPkh pt§©¤Ât© ! K »e]cp~ spRgbNwxPg{. sQv{I¯]²nbhsPQ ~ sQv{I¯]Â
(36) O ªpkgcrtbIgbU¥ P
(37) z b R. Qvb¦RQ}jcsPLsk sz§©¤k pe¢ gcrt~}r Rcj § © ´!¯ µh¶ rtQvsk º
(38) t½¿\ÁÀ È]kª~vg ~vg¢~vgs]Q «%cp]pWsP^ Qvks~vQ bwxg{ sPknOPPgt esPg gs3¿Å. sQv{It¯½ ZsPg3¯]½
(39) I b RIrLcpsQv{|csP. Kgtsk
(40) lR+oWpQ b{IghR~ ÁQ stQ}p]r~v~Îbgcrtb Ó
(41) cÀ Ó
(42) . sPk¦ sLsk«%^ 3~vbsPk ³x¯·g wERg{® Qvb¦p]Qvb jcpWcpepN¯ TWX KeÈ]kwxg% gbjg~SR+ ~Spg rtPQ sP3§ © ´³x¯· µh¶ rtQvsk º Â ºK 7zP¢ ccsPcRUskªp {Izj ~Sj~S sPQ gbwxgsPkªWpWscsPªgsPs^p±{IghRO~×
(43) Òu Q bUwxg IpW pWsP{. g w ! Â.
(44) +p¢Qvb pe b R¸wxgLsPQ {Icp]¢ sg+
(45) OK3oub sPkQSpNjOp3cjk pW¢Qvb QSp. Q «%b+Q bQvsQ}c~v~v ®Ucb Rg{Q bsOt«c~v sWrb
(46) b R¨KzÈ]kb sPk¢ÎR sQvb|P~vZQSp sPk¦ scs°cjksPQ {IpWsP¢+¯ªpQ sP. -. Q}pËjlkgpb scb Rg{ b¦RZsPkepW¢Qvb cjg{Icp_ÏÁ c~. sPgasPk« ~ g wEQvskeQvs^pN~vwxsebQ kh gLgnQ sptPQ khsLbQ kh gªrtQvsPk _ÏÁ c~¢Pg¦ Q ~vQvsW %K YLp]Q b¸sk3oWpQvbjpW%r]ªsc%L¢ PQ ghRQ}jL gb R jgb RQ sPQvgb pK »etPcpW~vs^pL³u§©¤«%^p p]¯·gs Q bcRIwxgenÂ'ÄO
(47) Icb R5Ç. ZpWkgcrtb+gb Q
(48). ³Cwxgtn Ç'c~v~ sPkLpW¢Qvb pQvbIskeQvbQ sPQ}c~ jgb¥ sQvgb+cPLQ bI3RQ bhs]pWscsPhgbzj b sc%nwxgL¹ {I¢~ °Â - ·^Kª¦gNskgsPspe{IghR~ pNwxgLskoWpWQvb|jOp sk +Q b RQSj s sPk¦ sz§©°Rhcj p~vQ %ª ¢ gcr]Ot~}r#cb R¸gtcpWsPQv{® sP_pÔwxgesPknO¹¢ gbbseºcP%É º ` ½¿\Ä º ½¿×Àc .
(49) º T ½¿ º . ½
(50) ¿Å. NOP3 Qvb8sPk3~vg ~vga¢~vgsNQv«%cptps Q khsN~ QvbLwxgNsQv{Icp¯'ÄKNQvb j3§ © RcjcpWcp pz Q b jP_p_p sPk3b{ tg wEpW¢Qvb pertkQ}jk+k «%ªb«%O¬ Q ¢¢ cR¸ cjg{IcptpWg8p{|c~v~u%wxg sPkLpW pWsP{0pWQv¡esPk cs]rLjgb pQSRcR%sPk cssPkªR s3 LbgQSp %KËYLpwxgsPkzoWpQvbjper] cpWsPQv{® sPegNPgt esPg Zc gs¿ÅK 7pWsPk csLsPk¹h¢ gbbhsªº|pO{|ptsPgI« rtQvsk¨KÈ]kQSpLQ}pN{IQvbQ}pPjbsg wErtk s r]3c~vP_R Uwxgb R|Qvb|sPk3pWQv{I¢~ Ng{asPQ}jc~ PgcrtsPk8{IghR~Îg wËPwxOPb jÓ
(51) Ortk3º rtp«cP hQvbZwxg{¿
(52) ÀcÄÁÀ_ÄÒ¿ ¿v¿sg|
(53) nrtkb8jlk cb_p±wxPg{. sg¸Ç'K. 7¼RQ}RUbgs]¥ b RaZrt UgcwËj ~Sj~S sPQ bZskL¹h¢ gbObsEº¼wxgtb^ ~Ϋc~v_p±g wËhKÈ]k jpªn Ç. jcbIkgcr]«%O± L_pQ ~v b¦RpWsPg%ghRIwxPg{03pQ {I¢~veRhg{|cQvbrt ~ ~Î P{IbhsK. !kb²/Â. Ç'tgb jcb/sPkQvbHg w¼sPkRg{|cQvbrt ~ ~}pp Qvb?¢ sPQ}j~vcpZgb!sPk8~vQvb. ¢ wxgP{IQ b3ZJ]g rtbQ} b{IgsPQvgbUrtQ sPksPkeP_jsQvgbaP~ tsPk cs]rtkbasrgª¢ sPQ}j~vcp°{IOs sPk 7{aPQvbhsPg+gb|¢ sPQSj~v%É. # =Æ. ZK Yeb Qv«%b?pQ sP|Rg%_pZbgsZ¬ Q ¢ sWr]Ob . sPQ {It3 b RIsQv{I¯°QÓwC b RIgb~v QÓw Qvsk p± bI«hQ}pWQvscRZ bQvsksPkt¥ ^ps]¢¦ PsQ}j~ NgbIQvs^p PQ khs]bgtsPkL¥ ^ps¢ sPQ}j~vLgb¸Q sp~vwxsOK°oustQ}pZr]~ ~ hbgcrtbIw jstgcw¤cb Rg{ sPk¦ ssPk|¢g cQv~ QvsW h©Nsk sa¨pQvsIQ}pZbgs«QSpQvscR7h H b¦Rg{. rE ~vsPkg. rE ~ %csUQ spZPQ khs. RcjO_ pt~vQv%
(54) h©]´Í¯µTWXKªÈ]kb QÓwr]3rtcbsªapQvssPgI «hQ}pWQvsP_R¸bQ sPkONh |sPk¢ cPsQ}j~ szQvsptPQ khsLbgL |skZ¢ cPsQ}j~ szQvspt~vwxs gb3s^pL§©Â ©X cb R+sPkQSpN~v_RptsPg|ºIÂ
(55) K NbwxgPsb s~v QvstQ}p]bgsecpW ¸sgUO¹sb RIsPkQSp]Q}R_ZsPgbO ~ËZ cjc p3R¢ b¦RQvbgb sPkegsspps^ sP_p±g wCRg{® Qvb¦pgbtk pQvsk. #ÑÆ. Lg. # Æ. !cb RsPkQSpÔ{ac b p . sPk¦ sepg{IsQv{Icp¤sPkªj~vg%pWcps¢ sPQSj~vªcstsPkzPQvksª³xgecstsPkL~ wxs·Ëg wÔZQ «%bIpWQvsL{IQvks RQSpP ¢¢ _ e wxgPªQ stPcjlk_p]sPk csLpWQvsPK »ebIjO b¨{IcpWP3sPkbh{U eg wp¢Q b pLrtkQ}jk+¬ Q ¢¢ cR5gb~v gb j sWr]b sQv{I3 b¦R+sPQv{an¯KzQvPIpkgcrepNwxgzsPka
(56) lR7oWpQ b{IghR~ËU~vg ~vgI¢~vgsLg wskRb pWQvsW Igcw p¢Qvb pªrtkQ}jk¨RQ}R bgsn¬ Q ¢cb R7g weskaRb pWQvsW +gcwzp¢Q b pLrtkQ}jk5¬¦Qv¢¢ cR gb~ gb j%K|È]k P_p~ sptQvb RQSj sZsk sLskZ¢ gcr]ON~S_rÃR_j IQ}pNskp {ILwxgLsPk3sWr]g|Ï% bhsPQ sPQ cpt b R+Q s Q}pePcpgb¦ ~ sPg|¹h¢ _jsNsk szsPkROb pQ s |gcwtpW¢Qvb¦p¼rtkQ}jk¸¬ Q ¢ ¹jsP~ sPQ {Icp]rtQvsk .
(57) ¥ ¹hcR|pt¯±Æ. Ç. rg~SR|Rcj IrtQ sPk|sPk3p {ILO¹¢ gbbsOK. »eb jcb' ~SpgsP HsPg¢ c sasPk gc«%¨j ~Sj~}csPQ gb pQvbkQvkaRQv{IOb pQ gb pK ¨ ¢cpbhsªQvbH¤QvPa¸sPkIPcpW~vs^pLgs^ QvbcR5wxgska_R-oWpWQvb|{IghRO~uK|oubHRQ {Ib pWQvgb¨h r]3 p_R+IpW pWsP{. gcwEXªpQvscpe b R|sPk3 bg wÔsPQv{aLrtpLUsPg8
(58) K. ¨Zg pOP«%. Q b+ª¢ g r]~Sr!RcjO_ gcw¤sPk¼Rb pWQvsW §©gcwËp¢Q b p±rtkQ}jkUk «%eb«%°¬ Q ¢¢ cRhrtQvsPka b ¹h¢ gbbhsºZ½¿\ 8 ¿ÅKËÈ]kQ}p_psPQ {| sQ}p¤Rgbtgc«%¤sPkt beÄ. ¯. .
(59) hK]YLp pW ~. sPkepkgPssPQ {IPcpW~vs^p°pkg~}R t~vQ {IQvb¦ sP_RN cj ¦pesPk tbgb bQ «%p ~ K°YN~Spgr] ~vQ «%tsPk¦ s]skL~S sPesPQ {IeRcs Lbgs]sPg%g~vQS ~ N cjO pWLsPk¼jlk cjsPQ}pWsPQ}j]~ bsPk g wÎskeRg{® Qvb¦p°ps^ Ps^psPgª ejg{I¢ ^ ~ ]sgLsPkepW pWsP{. pQ ¡%K°»ebejg~}RZsP ZsgL{Icp. sPkN¹h¢ gbObsEºnQvbkQ kERQv{ab pQ gbs]r]e¹h¢ cjs°¥ bQ sPpQ ¡t c js^p±sPg3 cjg{at{Ig b¦RZ{IgtpOPQvg p¤p°sPkERQv{ab pQ gbªQvb¦jPcpcpK¤È]kQ}pQSp° Q b _j pWtsPkEjlk¦ jsPOPQ}pWsPQSj ~vObsk+g wERg{| Q b ptQvb jcpWcpepN¯TWXQ b¨ ~v~ËRQ {Ib pWQvgb¦prtkcptsPk~vQvbc eRQ {Ib pWQvgb g w¤skªpW pWsP{0gb¼j b|pWQv{~}csPtg«hQvg p~ IR_jPcpcp°rtQ sPk|RQ {Ib pWQvgbK°%gsPkz bLgcw sPQ {Icp°rtkQSjlk8 ªbgsz c jscRI ¥ bQvsªpQ ¡ª c js^ptRcjcpWcp]rtQvsk+RhQv{Ib¦pQvgbK oubnskQ}p~vOsPsPOr]k «%¢cpbhsP_RNb{IPQSj ~ccp~ spQ b RQ}jO sPQ btsPk¦ swxg¤sPke
(60) lRoWpQ b b¦R gsspN{IghRh~}psPkROb pQ s ag wEp¢Q b pNrtkQSjlk8k «%ZbO«%]¬ Qv¢¢ _R+k pLcb QvbhsPcpsQvb ¢ gcr]ª~}rÃRcjO_ 8rtQvsk7sQv{I3 b¦R7sPkO¹¢ gbbs^pªp{£sPg| Ubgb sPQv«hQ} ~ Koub sPkajp IÂÇ'IpQ {I¢~ ZcP{IbhsN¢Pgc«%cpNsk sªsPk¹¢ gbbhsªºUQ}pecÏÁ¦ ~¤sPg¨
(61) Qvb¨c{Ibhs rtQvsk|sPkªbh{IQ}jc~R shK !kbgbIskQvbpngcwesPkaR hb {aQ}jpLp+J]g rtbQ} b?{IgsQvgb¨g wesk|Rg{| Q b7rE ~ ~}p gbtPcc~vQv¡OcpCsk sskt¢Pg~vO{ÍQ}pËj~vgp~ n~}csPcRªsPgªP_jsQvgbRhQ pQ gb{IghR~Sp×
(62) u uK g¹ {a¢~vIsk8oWpQvb¨jpW+jgPcp¢ gb RpUsg¨ b/Q bQvsQ}c~tpQ sP csPQ gb/rtkP8 ~ ~epQ sPcpcP ghjj¢QvcR ¢ cPsQ}j~ cp b RUrtkPLskªRg{| Q bUrE ~ ~}p LP¢PcpWbscR Ñ ¢¦ PsQ}j~ cpK È]k|Rh b c{IQ}jOp¼QSpLsPk cssPkI¢¦ PsQ}j~ cp bgs{Igc«%%rtQvsPkHskIP_jsQvgb¦p. #)Æ . . #. . # . cPI^ b Rhg{ . Æ. rE ~v%OpLrtkcpª¢ sPQ}j~vcp. Rg. ³ sk| bbQvkQ ~}csPQvgbHg w¼Rg{|cQvbrE ~ ~}pl·¼ b R. pZsPk¸bgb {Igc«Q b8pQ sPcpRQSpPc¢¢ c rtkOb«%ªsPk cP|«hQ}pQ sPcR h. Rg{| Q b rt ~ ~}pKUÈ]kIjpg wEsPkgsPs^pn{IghRO~°jgPcp¢ gb¦Rpnsg+k «hQvbIQ bRRQ sPQvgb7sk ¢ g%ppQvQv~vQ sW /sPk¦ s . # . Æ. ZK0Y . Pccs R_ ~ªg wr]g!k p| bRgb¨PcjObs~v HsPg. .
(63) b RhpWs b¦R+sPkjPQ sPQ}jO ~O¹¢ gbbs^prtkQ}jk+jk cjsPQv¡ªsPkn~ gbasPQv{aL k «Q geg wsk Rb¦pQvsW |Qvb8sPk_pZcjsPQvgb¨RQ pWQvgb {IghR~Sp ×
(64) u u u Ä u
(65) ° cb R+Qvszr]g~}R IQvbhsPOPcpWsPQvb¸sg+hbgcrrtkskZsk{IsPkghRp u ÄrtkQ}jkk «% b R«%O~vg¢¢ _RawxgNskcpWZpW pWsP{®p]jg~}R| 3 p_R¸sPg¢cRQ}js]sPkZ« ~ cp]g w±º sk ser]ªk «% {IcpcR®wxg{gªRcs+pWkgcrtb7Q b+¥ P8
(66) KÈ]kkQvk3RQv{IOb pQ gb c~¤jpWcpLkgcr]«% r]g~}R|PcÏ%Q PaRQ bsec¢¢g%jk¨pesPkRg{| Q b|rt ~ ~}pe ¹sb R_R®gPcjs^pZ³ ~ Qvbcp gzpw jcpl·^ sPktsPk cb+¢ gQ bs^pK YLpZsPk jp8¾Â)Ç. Q}pZb RhpWsPg%ghRtgb jg~}RsP sPg?jc~}j~S sIsPk|¹h¢ gbObsaº. pWQvb?7~}cP +¹h¢ b¦pQvgbK!YNbgsPkUQ bsP_psPQ b¨Ï%cpsQvgb-rg~SR- +sg¹hsPb¦R¾sk bgsPQvgb|g wËbgb {Igc«hQvbp¢Q b p]sPgbgb ¡Pgs{I¢ ^ sPP%KËYsbgb ¡gsP{a¢ O sPÁsk bh{U gcw°bgb {Igc«Q bpW¢Qvb ptRhcj p¹h¢ gbbhsPQS ~v~ Qvb|c~v~ RQv{IOb pQ gb pK°Ngcr]O«%rtkb sPkIjk ^jsPQSpsQ}jpQ ¡g wzRhg{|cQvb pL cjg{IcpN~S PªsPk cbsPkUcÏ%Q ~vQvPQv{. jgP~}csPQ gb. ~vObskgbej bappghjQS sPesPgzcjkpQ sP]Q bsPkepW pWsP{skt¢k peQvs¤Q}pQ b|³ ¹j¢s¤¢ Pk¦ ¢ p wxgsPkzpQ sPcp°sg%gj~ g%pesPgZRg{| Q b gb R P · b¦RUgb¼j bajgbssPkNbh{ O°g w¤sQv{I ps¢ ptpQ sP3p¢ b RpQ b+ZQv«%b|¢k¦pK.
(67)
(68)
(69)
(70)
(71) . 7|sPk¦ bHsPk oWpPj+qertsPgb/oub pWsPQ sPs%dc{UPQ}Rh%L. rtkIsPkQ}pnrgrtpZjcPPQ cR7gsK ¨Ik R pWwx~ERQ}pj pPpWQvgb pZrtQvskH[KÓ̤Kd Rh %yK MNg¡%KL hQv{I[K LPscÐ p¡tKÅ ªK%¢ ecb R+[KKsPQ×wK ! " $#&%'$(. ×
(72) ʤK 8Ð j¡%°k pK t«ÎK. Ì ssK*)+)Î
(73) Àc%À|³P
(74) OÒÄÁ·. 3 ªKhjkg%gbgc«%eMZKtJ]ObWYe«^ k c{ ¦K]L«h~vQ bt ªK]Lg¢ ~ {| bcb R °k pQSjY-,.*, |³P
(75) ÒÒ
(76) c·. 3]KÌ h«h ¡3cb R5 K tcRbÔkh pK t«K Ì sPsOK+/+/C
(77) +³
(78) ÒÒh
(79) · 3]KÌ h«h ¡3cb R5 K tcRbÔkh pK t«K10+/
(80) +³P
(81) OÒÒÁ· Ä. f3K\ZK°7OQ}pPp.
(82) Ä KdgPb~ ~uyK MNPg¡Zcb R+JLKdkg¢ cRΰk pQSjY KdgPb~ ~uyK MNPg¡% °k pK t«ÎK. , +³
(83) ÒÒÁ·. Ì ssK*. c+³
(84) ÒÒÁ·. ÅÀ ªÕK g{Icch[K Ôkh pK ,̤
(85) Ò+³P
(86) OÒ%· 3 ªK yK. Ê Q cb R|tK MZK y j feR % y jPg{ag~v_j~v_p , Äh
(87) +³
(88) Ò Á·. Ò3[KŤK%kr]g%ghRÎ[K °k pK ÁÀa³P
(89) OÒÒÁ· Ó
(90) Of3K Èc P pe b¦R+KzQvgsO°kh pK «ÎK. Ì OsPsK+/*.Î
(91) %ÀcÄ+³
(92) ÒÒ
(93) ·. Ó
(94)
(95) 3K̤K L^ ¢Q «pW % [K %scsKΰk pK /
(96) OÄ+³
(97) ÒÒÁ· Ó
(98) O3YZK\[KJ]^_ JLKcMNOPPQSRLcb RUdeKÁfeghROci jk%¢¢Qvbhs°ÒcÉ]Ö\qNgbhsPQv«hQ}c~% ~ QSj]R_j Qvb8pg~v~ ª{IghR~Îg wÔjg%cpObQvbÖ. Ó
(99) O K\]K RrtcRp MZK!Qv~ Q b pgb°PghjK tgc %K Ó
(100) 3yK ª ^R OfZK Ë PQSpQ ÕK. %ghjK , ¤
(101) Àa³P
(102) OÒ%·. Ê k cbΰk pK O«K Ì sPsOK*)/ Ò+³
(103) Ò Á·. Ó
(104) OÄ3 ªKÅ[Kfe~}c [gPbK y csPkK °kh pK+0 Ò 8³P
(105) OÒ Á· Ó
(106) 3 ªK MNPsPsecb R+[K\tK%sPQ×wYNbb ~Sp]g wÔÔg cQv~ QvsW
(107) , ¸³
(108) ÒÒÁ· Ó
(109) cÀ 3YZK\[KJ] %[K °k pK Ì ÁÀ®³P
(110) ÒÒ%· Ó
(111) 3]K {aQv~v cb R+[K×f3KYN{|c[K%scsK °k pK Ó
(112) OÒ3yKMePg¡[Kªc{I¢kgpseÌ c ~ , % À%
(113) I³
(114) Ò Á ·. /*)
(115) OÄ+³P
(116) OÒÒ
(117) c·. RU%Q ~v«YZKhy ~}p¢Q b ptcb R|[K%Õ±Og{|cb ph[K°kh pK. 3JLK MNPQSR deKfNghRhci jk% oKÕhsQv~ Quh°k pK «ÎKY. 0+0 c
(118) I³
(119) ÒÒh
(120) ·. h
(121) 3MZK Èg ppPcQvbhsÎ]K!Qv~Sj¡Î%[Kdk{K°k pK+. . +³P
(122) OÒ%· 3yK J]c{|pgb| b¦R+[KÓ̤KÌ O. gcrtQ sP¡% [K%s^ sOK Ôkh pK+/ Î ÒÁÀa³P
(123) OÒÒh
(124) ·. 3yK MNgQu [K °k pK
(125) hÀcÒ+³
(126) ÒÁÀ Á·.
(127) c̤KÎ~vQ sPQ %[K °k pQSÏÁ. 0+/
(128) Ò8³P
(129) Ò Ä%·. Ä3JLK¤KÌ %»e¹%wxg^R5¢¢QvbhsLÒÉÖÅ tbg{| ~ Qv¡ccsPQ gb|g¢?j ~Sj~S sPQ gb+wxgnskP. . jsPQvgb. ÑÆ6Ö . À.
(130) > . <
(131) .
(132) KeQ ª
(133) É°~ g ~vgª¢~vgs±gcwskeRb pWQvsW §©g wCp¢Q b p°rtkQ}jkk «%tb«%OC¬ Q ¢¢ cR«%pW p sQv{Iwxgp«%O ~gbzRQv{ab pQ gb c~¤gsPs^p°{IghR~Sp]³ gcw¤jgpW%hnÂ'ªjgPcpW¢ gb RpsPg skLoWpWQvbª{IghRO~ ·K¤gc~v~ÎjlkgQ}jcpg wC%sPktb{ °gcw¤ps^ scp±gcwsPkLgsPs^pÔ{aghR~u §©Ëk pL¢ gcr ~}rR_j ¸rtQ sPk b+O¹¢ gbbsertkQSjlkR¢ b Rpegb hKe¦gN~S skª~} ª¯tR s cjg{ILbgQ}p a _j pWZsk3p psPO{. pWQv¡ªQ}p]bgseQvbgkK. KeQ hÉ]~vg ~vg|¢~ gseg wsPkRb¦pQvsW Igcwp¢Qvb pNrtkQ}jk+k «%ªb«%]¬¦Qv¢¢ cR8 b R+gcw skRb pWQvsW +gcwepW¢Qvb pLrtkQSjlk+¬¦Qv¢¢ cR gb~ +gb j%wxgªsk|
(134) lRoWpQ bI{IghRO~uKÈ]k_p sWr]gRhb pQ sPQ cp]pW{. sgUk «%Lsk3pPc{IL¢ gcr]t~S_r Rcj Qvb|sPkª~ gbsPQ {IN~ Qv{IQ sK. KeQ |ÉsPk8ROb pQ s ¨§©NgcwªpW¢Qvb pªrtkQ}jkk «%Ib«%n¬¦Qv¢¢ cR5wxgsPk®_R/oWpQ b {IghRh~uK. .
(135)
Documents relatifs
To test whether the vesicular pool of Atat1 promotes the acetyl- ation of -tubulin in MTs, we isolated subcellular fractions from newborn mouse cortices and then assessed
Néanmoins, la dualité des acides (Lewis et Bronsted) est un système dispendieux, dont le recyclage est une opération complexe et par conséquent difficilement applicable à
Cette mutation familiale du gène MME est une substitution d’une base guanine par une base adenine sur le chromosome 3q25.2, ce qui induit un remplacement d’un acide aminé cystéine
En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages
Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur
A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated
The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide
Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to