The Streaming Instability in the Dead Zone of a Protoplanetary Disk
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- Meredith Cooper
- 5 years ago
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1 The Streaming Instability in the Dead Zone of a Protoplanetary Disk Chao-Chin Yang ( ) Department of Physics and Astronomy University of Nevada, Las Vegas Mordecai-Mark Mac Low (AMNH), Anders Johansen (Lund) ApJ, to be submitted
2 Driving the formation of planetesimals by The Streaming Instability in the Dead Zone of a Protoplanetary Disk Chao-Chin Yang ( ) Department of Physics and Astronomy University of Nevada, Las Vegas Mordecai-Mark Mac Low (AMNH), Anders Johansen (Lund) ApJ, to be submitted
3 Disk Magnetohydrodynamics & Turbulence Bai (16) Armitage (11)
4 Disk Magnetohydrodynamics & Turbulence Bai (16) Armitage (11) Dead zone is UNDEAD, still turbulent!!
5 Disk Magnetohydrodynamics & Turbulence Dominant forcing on Large objects: stochastic gravity Small particles: drag Dividing size ~ 1 m (Oishi, Mac Low, Menou 7; Nelson & Gressel 1) Yang, Mac Low, & Menou (9) In either case, random walks and diffusion in phase space result. Carballido, Fromang, & Papaloizou (6)
6 Stochastic Gravitational Forcing on Large Objects e = e > Yang, Mac Low, & Menou (9, 1)
7 Moving on to pebbles in MHD turbulence Bai (16) Armitage (11)
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9 <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">aaaconicdvbnt9taefhtkcgjccry6prjsqky+zdsw4ilhz5aeqkollgm3wyynrt7i6risv/iwt/glsvvxaaxjufwoajulvrj+3q6bzzcylmikmet5pp7l4eon5zxv6tr65y8btcthybnnentlspudyiwxarfyhq8k6mossr5nfr6htqx99wbusqvumk47ebkreggfakaxdbregvpyfwwm/qukdxcfvwiw1fnmrajkniqwswkfoiqursiwchdwdi++y5zhre65/n6jcertz1wojgznxdprud7z6msb87bh/rtlidcizngtnf3muwvofewyctqkbuearvbghctvzbwytmt5fm1x6ne61fqrptpzo4demekscrpkuzfbyq+53vzjju9qqgsr67yffccs4opnqzj+jzhnjictat7k6udcemhjbuqg3h96x/6s977zc/+kwfnyysgof7jcvzjf4pegoyrk5j3cyc35rr7jk3pnpdjpzsu8toiserbjx3be3wbc8lbi</latexit> Sedimentation of Small Particles in Turbulence Dead zone 3H αss(z) 1 Hp/Hg z/h g t = SS c s H g.5 Dead zone 3H 1 s = t/p H p H g 6= r SS s + SS Yang, Mac Low, & Johansen, in prep.
10 <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> Sedimentation of Small Particles in Turbulence Dead zone 3H 1 Dead zone 3H 1 Ideal MHD 16HIdeal 1 MHD 16H ρgu αss(z) z/ρc s 1 Hp/Hg z/h g t = SS c s H g.5 Dead zone 3H 1 s = t/p H p H g 6= r SS s + SS Yang, Mac Low, & Johansen, in prep.
11 <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="uyz9fr1nzhzrm494sazrbshlxm=">aaaccxicdvbns8naen34wetx1kox1sj4cklraxsqil56rntyqlpczrttl4yxcjlnczf/+kfw8qxvh3vw3btokkvpg4pheddpzgphrqwz7w1haxlldw89t5de3tndzb39gxklahmxrywsnqbjwignrqkkku4scaodrtrb+dlz7desbrxazwjss9eq4hfcoljd888njik3gopctiefk9ekmrcnnwa4p9crv+dcltuuuk5wyarvqtvyqu5sutv6fjdawwqnm3371+hjoqciuzkrlrlhqpugoihmz5r1ekhjhmrqsrqychuttkru3iilt4creixv3cmfp9iusjljaxz3ap/o1l4l9en1gdai+lpe4u4xi+ajawqcky5ql7vbcseqthaxvti8qgjhpdpl6xc+pox/e7do1szn6qxqv1ikkqoh4bicagduqbqbo4aim78acewlnxbzwal8brvhxjwmwcgb8w3j4bhkazg==</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> <latexit sha1_base64="n/tdtv1etf/4haj6kqrhr3kqq=">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</latexit> Sedimentation of Small Particles in Turbulence Dead zone 3H 1 Dead zone 3H 1 Ideal MHD 16HIdeal 1 MHD 16H ρgu αss(z) z/ρc s 1 Hp/Hg z/h g t = SS c s H g.5 Dead zone 3H 1 s = t/p H p H g 6= r SS s + SS The α accretion (shear stress) is not equivalent to vertical mixing of solids. Yang, Mac Low, & Johansen, in prep.
12 Sedimentation of Small Particles in Turbulence αg,i(z) =Dg,i(z)/csHg α g,x α g,y α g,z g g Dead zone 3H 1 g 4 4 z/h g Hp/Hg Dead zone 3H 1 s = t/p Yang, Mac Low, & Johansen, in prep.
13 Sedimentation of Small Particles in Turbulence αg,i(z) =Dg,i(z)/csHg α g,x α g,y α g,z g g Dead zone 3H 1 g 4 4 z/h g Hp/Hg Dead zone 3H 1 s = t/p H p H g ' r g,z s + g,z Yang, Mac Low, & Johansen, in prep.
14 <latexit sha1_base64="kdujhcuyttpgmmqdd4qtxjd+s=">aaacdnicdzdnssnafiun/tb4f3xpzrbyxehjrkguhnjuxfywttcemjloqgtszizccxddz4km5cqlh17c63cdpgubexbg7fuzc794qpo1lz9oexslivljawjpxnza3tqd3ruzzaitfycsezqscioj66iipfokgikqba4ba58du3reia8gs1sokfoz6necviarryfu+hlmjlcwmmkxfqrto1zzo/yloatcaqatajkryqcovmc9e7ezzhhcjmkzdexu+xnscikgrmbxizjivaq9ulxs45iiv18es8yhmrsg1ei9omktunpirzfuo7iuhfgsa3kx8c//o6myro/jzynfoe49mikgnqjxasduxrqbbiiyqflt/feibeggrhagpq5h/+7dwt6rnvefqtfxvfgmuwd44aefaatvqb5egbvyawr14ae/gbg3hox43xwumaum3vgvxlvnyurmrw=</latexit> <latexit sha1_base64="kdujhcuyttpgmmqdd4qtxjd+s=">aaacdnicdzdnssnafiun/tb4f3xpzrbyxehjrkguhnjuxfywttcemjloqgtszizccxddz4km5cqlh17c63cdpgubexbg7fuzc794qpo1lz9oexslivljawjpxnza3tqd3ruzzaitfycsezqscioj66iipfokgikqba4ba58du3reia8gs1sokfoz6necviarryfu+hlmjlcwmmkxfqrto1zzo/yloatcaqatajkryqcovmc9e7ezzhhcjmkzdexu+xnscikgrmbxizjivaq9ulxs45iiv18es8yhmrsg1ei9omktunpirzfuo7iuhfgsa3kx8c//o6myro/jzynfoe49mikgnqjxasduxrqbbiiyqflt/feibeggrhagpq5h/+7dwt6rnvefqtfxvfgmuwd44aefaatvqb5egbvyawr14ae/gbg3hox43xwumaum3vgvxlvnyurmrw=</latexit> <latexit sha1_base64="kdujhcuyttpgmmqdd4qtxjd+s=">aaacdnicdzdnssnafiun/tb4f3xpzrbyxehjrkguhnjuxfywttcemjloqgtszizccxddz4km5cqlh17c63cdpgubexbg7fuzc794qpo1lz9oexslivljawjpxnza3tqd3ruzzaitfycsezqscioj66iipfokgikqba4ba58du3reia8gs1sokfoz6necviarryfu+hlmjlcwmmkxfqrto1zzo/yloatcaqatajkryqcovmc9e7ezzhhcjmkzdexu+xnscikgrmbxizjivaq9ulxs45iiv18es8yhmrsg1ei9omktunpirzfuo7iuhfgsa3kx8c//o6myro/jzynfoe49mikgnqjxasduxrqbbiiyqflt/feibeggrhagpq5h/+7dwt6rnvefqtfxvfgmuwd44aefaatvqb5egbvyawr14ae/gbg3hox43xwumaum3vgvxlvnyurmrw=</latexit> <latexit sha1_base64="kdujhcuyttpgmmqdd4qtxjd+s=">aaacdnicdzdnssnafiun/tb4f3xpzrbyxehjrkguhnjuxfywttcemjloqgtszizccxddz4km5cqlh17c63cdpgubexbg7fuzc794qpo1lz9oexslivljawjpxnza3tqd3ruzzaitfycsezqscioj66iipfokgikqba4ba58du3reia8gs1sokfoz6necviarryfu+hlmjlcwmmkxfqrto1zzo/yloatcaqatajkryqcovmc9e7ezzhhcjmkzdexu+xnscikgrmbxizjivaq9ulxs45iiv18es8yhmrsg1ei9omktunpirzfuo7iuhfgsa3kx8c//o6myro/jzynfoe49mikgnqjxasduxrqbbiiyqflt/feibeggrhagpq5h/+7dwt6rnvefqtfxvfgmuwd44aefaatvqb5egbvyawr14ae/gbg3hox43xwumaum3vgvxlvnyurmrw=</latexit> How about disk-wind models? Bai (15) s,b =.7 s,c =.7 Zhu et al. (15)
15 The Streaming Instability (Youdin & Goodman 5; Johansen & Youdin 7) Headwind: Weaker Stronger φ Radial drift: Slower Faster Drag force: Weaker Stronger R
16 Radial Particle Concentration in Turbulence 1 Particle Dynamics in Stratified Magneto-rotational Turbulence 4H g 8H g 8H g 16 Hg 1 = 1 4 =.5 s =.1 no back reaction Z =.1 Z =. Z =.4 Z =.8 t/p h pi/z g, Yang, Mac Low, & Johansen, in prep. x/h g x/h g x/h g x/h g x/h g s =.1
17 Radial Particle Concentration in Turbulence Particle Dynamics ParticleinDynamics StratifiedinMagneto-rotational Ohmic Dead Zone Turbulence 1 H 1= = 4Hg 4H 8Hgg 8H 8Hgg 8H 16g H Re.5 =.5 s =.1 s =.1 M 1= g 16 g 1 = no back reaction Z =.1 Z =. Z =.4 Z = h p i/z g, t/p x/hg x/hg x/hg x/hg x/hg 1 s =.1 Yang, Mac Low, & Johansen, in prep. 1
18 Radial Particle Concentration in Turbulence Particle Dynamics ParticleinDynamics StratifiedinMagneto-rotational Ohmic Dead Zone Turbulence 1 H 1= = 4Hg 4H 8Hgg 8H 8Hgg 8H 16g H 3 Re.5 =.5 s =.1 s =.1 M 1= g 16 g 1 = no back reaction Z =.1 Z =. Z =.4 Z = h p i/z g, t/p x/hg x/hg x/hg x/hg x/hg 1 s =.1 Yang, Mac Low, & Johansen, in prep. 1
19 Critical solid abundance For laminar disks Hp(laminar) Hp(MHD) Hp/Hg Yang, Johansen, & Carrera (17) For τs =.1 in MHD turbulence Z %.5. Dead zone 3H 1 Laminar t/p Yang, Mac Low, & Johansen, in prep.
20 Summary Shear stress vs. turbulent diffusion Ideal MHD: αss ~ αg,x ~ αg,y ~ αg,z Dead zone: αss < αg,x ~ αg,y < αg,z Conditions for strong concentration of solids Not sensitive to sedimentation Sensitive to solid abundance and radial diffusion
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Anders Johansen (Max-Planck-Institut für Astronomie) From Stars to Planets Gainesville, April 2007
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