Rota1on!and!convec1on!in!cool!MS!stars! ! On!the!MS:! ! - - PowerPoint PPT Presentation

rota1on and convec1on in cool ms stars
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Rota1on!and!convec1on!in!cool!MS!stars! ! On!the!MS:! ! - - PowerPoint PPT Presentation

! What!do!numerical!simula1ons!tell!us! about!solar/stellar!dynamos?! ! ! Laurne!Jouve! IRAP>Toulouse>France! ! Cool$Stars$2016.Uppsala$ Rota1on!and!convec1on!in!cool!MS!stars! ! On!the!MS:! ! Fully!convec1ve!stars!below!M "


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SLIDE 1

!What!do!numerical!simula1ons!tell!us!

about!solar/stellar!dynamos?!

! ! Laurène!Jouve!

IRAP>Toulouse>France! ! Cool$Stars$2016.Uppsala$

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SLIDE 2

Rota1on!and!convec1on!in!cool!MS!stars!

! On!the!MS:!

! Fully!convec1ve!stars!below!M"!<!0.35! ! Convec1ve!envelope!for!0.35!<!!M"!<!1.4!

! Rela1vely!fast!rota1on! !!!!!!but!large!spread! McQuillan!et!al.!(2014)! Reiners!(2008),!Siess!et!al.!(2000)! ZAMS!

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SLIDE 3

Magne1c!fields!in!cool!MS!stars!

Dona1!(2011)! Morin,!Dona1!et!al.!(2008>2010)!

! Mostly!mul1polar!for!M"!>!0.35! ! Mostly!dipolar!for!M"!<!0.35! ! Bistability!for!M"!<!0.2! ! Field!strength!increases!with!rota1on! ! More!and!more!toroidal!with!rota1on! Pe1t!et!al.!2008,!S.!Marsden’s!talk!

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SLIDE 4

Observa1ons!of!magne1c!cycles?!

Dona1!et!al!2008,!Fares!et!al!2009,!Mengel!et!al!2016:!τ!boo:!2!years! Pe1t!et!al!2009,!Morgenthaler!et!al!2011:!HD!190771!(complex!variability)! Garcia!et!al!2010:!HD!49933:!120!days?!

Chromospheric!ac1vity!(Mount! Wilson!data,!Ca!II!HK!lines): Pcyc=(1/Ro)1.28+/>0.48!

!

where!the!Rossby!number! Ro=Prot/τ! "

Noyes!et!al.!1984! Boro>Saika!et!al!2016:!HD!201091:!14!years!

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SLIDE 5

Poloidal Toroidal Toroidal Poloidal

# Babcock-Leighton effect # α effect # Ω effect Dynamo mechanism: process through which motions of a conducting fluid can permanently regenerate and maintain a magnetic field against its ohmic dissipation

It consists of the regeneration of both poloidal and toroidal fields

Main!physical!ingredients!to!the ! genera1on!and!transport!of!magne1c!fields

!

Transport!of!magne1c!field!

# !Large>scale!flows!! (meridional!! circula1on)!! # !Downward!pumping!by!! penetra1ve!convec1on!! # !Transport!from!the!base!of!the!! convec1on!zone!to!the!surface! (magne1c!buoyancy)!!

Sources!of!magne1c!field!

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SLIDE 6

1:!magne1c!field!genera1on,!self>induc1on! 2:!pumping!of!mag.!field!!

  • r!!

2’:!transport!by!meridional!flow! 3:!stretching!of!field!lines!through!Ω>effect!! ! 4:!Parker!instability! 5:!emergence+rota1on! 6:!recycling!through!α-effect!or! 7:!emergence!of!twisted!bipolar! structures!at!the!surface!

Schema1c!theore1cal!view!!

  • f!the!magne1c!cycle!in!solar>like!stars
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SLIDE 7

! Organize!field!at!large!scales!

Solar>like!stars:!role!of!the!the!tachocline?!

Browning!et!al.!(2006)! Ghizaru!et!al.!(2010)! ! From these concentrations of toroidal field, buoyant loops can emerge" ! They do not rise to the surface to create well defined spots yet, this has to be modeled independently" Nelson!et!al.!(2014)!

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SLIDE 8

8!

Solar>like!stars:!buoyant!loops!rise!

! Toroidal!flux!tube!introduced!at!the!base!of!the!convec1on!zone! ! Influence!of!the!Coriolis!force!and!! convec1on!introduce!asymetries!and!! modula1on!in!longitude! ! ! ! ! ! ! Bipolar!magne1c!regions!emerge,!with!proper1es!close!to!the!observed!ones!

Jouve!et!al.!2013!

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SLIDE 9
  • !Mean>field!induc1on!equa1on!only!
  • !2!coupled!PDEs!

Standard!model:!! single>celled!! meridional!! circula1on! Is!this!solar!model! applicable!for! rapidly>rota1ng! solar>like!stars?!

Solar>like!stars:!magne1c!cycles,!2D!models!

  • !Babcock>Leighton!dynamo!model!

Cyclic!field! Bumerfly!diagram!close!to!observa1ons!

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SLIDE 10

Scaling!of!MC!deduced!from! Brown!et!al.!2008:!Vp!α!Ω>0.9! Dikpa1!et!al.!2001!assumed!Vp!~Ω" Charbonneau!&!Saar!2001! assumed!Vp!α!Ω!or!log(Ω)! ΔΩ " increases!with!Ω!!

Solar>like!stars:!prescrip1ons!from!3D!models!

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SLIDE 11

0.5!Ωsol! 5!Ωsol! Slower!cycle!when!! !!!!!Ω!increased! Pcyc!=!20!yr! Jouve,!Brown,!Brun!2010! !!!!Stronger!Btor! compared!to!Bpol! 1me! 1me!

Solar>like!stars:!applying!solar!models!to!other!stars!

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SLIDE 12

!Mul1cell!! meridional! !!!!flow! 5!Ωsol,!Pcyc!=!5.2!yr,!bemer!agreement! Can!we!reconcile!this!model!with!stellar!! !!!!!!data!using!a!more!complex!MC?! 1me!

Solar>like!stars:!applying!solar!models!to!other!stars!

Jouve,!Brown,!Brun!2010!

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SLIDE 13

Models!of!fully!convec1ve!stars!

! Weakly!stra1fied!(Dobler!2005)! ! More!strongly!stra1fied!(Browning!2008)! ! Systema1c!study!(Gas1ne!et!al.!2012)!

Aspect!ra1o,! density!contrast! and!influence!of! rota1on!(Rossby! number)!varied! !

Dipolar! Mul1polar! ! Most!recent!(Yadav!et!al.!2015)! Small!and!large!! !!scales!coexist!

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SLIDE 14

! Change!in!Rossby! !!!!!(also!seen!in!planetary!dynamos)! !

!

Ordering!role!of!Coriolis=dipolar!

!

Iner1a!becomes!dominant=mul1polar! ! ! ! Two!regimes!for!low!Rossby!numbers! !!!!!(also!seen!in!planetary!dynamos)! !

!

Strong!ini1al!field=no!shear! (no!role!of!shear!in!dynamo)!

!

Weak!ini1al!field=shear! (shear!plays!a!role:!Parker!waves?)! ! ! ! Strong!stra1fica1on!leads!to!! !!!!!mul1polar!fields!

Christensen!&!Aubert!(2006)! Schrinner!et!al.!(2012)!

Fully!convec1ve!stars:!Rossby!and!bistability!

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SLIDE 15

Fully!convec1ve!stars:!comparison!to!

  • bserva1ons!

! Dipolarity!lost!for!Ro!>!0.1! ! Bistability!for!low!Ro! ! Variability!for!very!low!Ro:!! compa1ble!with!Parker!waves?! Gas1ne!et!al.!(2013)! Yadav!et!al.!(2015)! ! ZDI!reconstruc1on:!! > Field!geometry!recovered!(large>scale!only)! > Field!strength!underes1mated!

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SLIDE 16

Conclusions!

! Dynamo!models!of!solar>like!stars:! ! !>!Role!of!the!tachocline:!building!organised!field! !>!Is!a!tachocline!necessary!for!buoyant!loops!genera1on?! !>!What!is!missing!in!3D!models!to!actually!produce!spots?! !>!Models!commonly!applied!to!the!Sun!are!challenged!by!other!stars! ! ! ! ! Dynamo!models!of!fully!convec1ve!stars:! ! !>!Change!of!geometry!with!Rossby!number!(or!with!internal!structure?)! !>!Bistable!regime!for!late!M! !>!Temporal!variability!for!mul1polar!fields?! !>!Can!dipoles!(and!thus!bistability)!resist!strong!stra1fica1ons?!

!