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They found that Jupiter models (hat used EOSs consistent with the 6-Iold limiting deuterium compression data of Collinsetal.(1998). lead to core sizes of 0-10AZ... with total heavy element abundances (envelope plus core) of 10-25. | They found that Jupiter models that used EOSs consistent with the 6-fold limiting deuterium compression data of \citet{Collins98} lead to core sizes of 0-10, with total heavy element abundances (envelope plus core) of 10-25. |
. Models computed using EOSs consistent with the harder 4.3-Fold limiting compression ol Ixnudsonetal.(2001.2004) ancl Boriskovetal.(2005). led to smaller cores sizes (0-3 )) but larger heavy elements abundances (25-35 )). | Models computed using EOSs consistent with the harder 4.3-fold limiting compression of \citet{Knudson01,Knudson04} and \citet{Boriskov05} led to smaller cores sizes (0-3 ) but larger heavy elements abundances (25-35 ). |
Since other experiments have nol been able to replicate the soft Collinsetal.(1998) data. ancl (he data of Ixnudson et al. | Since other experiments have not been able to replicate the soft \citet{Collins98} data, and the data of Knudson et al. |
and Doriskov οἱ al. | and Boriskov et al. |
agree quite well while using different experimental setups. these harder EOS data sets are currently viewed by many as the most reliable. (For 2006). | agree quite well while using different experimental setups, these harder EOS data sets are currently viewed by many as the most reliable. \citep[For recent reviews, see][]{Nellis05,Nellis06}. |
. Tests of the hvdrogen or deuterium EOS olf of the single-shock Hugoniot. perhaps at pressures of up to a lew Mbar. but temperatures below 107 IX. would be most valuable. | Tests of the hydrogen or deuterium EOS off of the single-shock Hugoniot, perhaps at pressures of up to a few Mbar, but temperatures below $^4$ K, would be most valuable. |
For helium. our second most important constituent. new EOS data are sorely needed. | For helium, our second most important constituent, new EOS data are sorely needed. |
No helium EOS data have been published since Nellisetal.(LO84).. and this data set only reached a maximum pressure of 560 kbar (56 Gpa). | No helium EOS data have been published since \citet{Nellis84}, and this data set only reached a maximum pressure of 560 kbar (56 Gpa). |
In we show schematic interior structures of Jupiter and Saturn. | In we show schematic interior structures of Jupiter and Saturn. |
We show pressures and (temperatures al (ree locations: the visible atmosphere (1 bar). near the molecular-to-metallic transition of hydrogen (2 Mbar). aud at the top of the heavy. element core of each planet. | We show pressures and temperatures at three locations: the visible atmosphere (1 bar), near the molecular-to-metallic transition of hydrogen (2 Mbar), and at the top of the heavy element core of each planet. |
Atmospheric elemental abundances. as determined by the for Jupiter and by spectroscopy for Saturn. are shown within a grev box 2003).. | Atmospheric elemental abundances, as determined by the for Jupiter and by spectroscopy for Saturn, are shown within a grey box \citep{Atreya03}. . |
These abundances should at least be representative of the entire molecular Ls reeion. | These abundances should at least be representative of the entire molecular $_2$ region. |
If a PPT does not exist. these abundances should be representative of (he entire 11/16 envelope. | If a PPT does not exist, these abundances should be representative of the entire H/He envelope. |
In both planets. (he molecular IH» region is depleted in helium relative to protosolar abundances (vonZahnetal.1993;Conrath&Gautier2000) indicating sedimentation of helium into metallie II Iavers. | In both planets, the molecular $_2$ region is depleted in helium relative to protosolar abundances \citep{vonzahn98,CG00} indicating sedimentation of helium into metallic H layers. |
Recent evolutionary models for Saturn indicate this helium may rain through the metallic Hl region and form a laver on top of the core 2003). | Recent evolutionary models for Saturn indicate this helium may rain through the metallic H region and form a layer on top of the core \citep{FH03}. |
. While the interior pressure-densitv. relation sets the structure of the planet. it is the pressure-Ltemperature relation that determines the thermal evolution. | While the interior pressure-density relation sets the structure of the planet, it is the pressure-temperature relation that determines the thermal evolution. |
The temperature of the deep interior sets the heat content of the planet. | The temperature of the deep interior sets the heat content of the planet. |
The hieher the temperatures in the planet's interior. the longer it will take to cool to agiven luminosity. | The higher the temperatures in the planet's interior, the longer it will take to cool to agiven luminosity. |
This has been investigated recently by Sammon&Guillot(2004) for Jupiter. | This has been investigated recently by \citet{Saumon04} for Jupiter. |
Thev computed. evolution models of | They computed evolution models of |
The concatenated spectra of 5 such classes reveal several clusters of ir lunes. listed in Sec. | The concatenated spectra of 5 such classes reveal several clusters of ir lines, listed in Sec. |
3.H which are characterized by their vibrational mode. ic. the atomic elements or functional eroups involved iu the motion. or the type of coherent motion of the atoms. | 3, which are characterized by their vibrational mode, i.e. the atomic elements or functional groups involved in the motion, or the type of coherent motion of the atoms. |
Each cluster is found to coincide reasonably well with one or the other of the tabulated UIBs. | Each cluster is found to coincide reasonably well with one or the other of the tabulated UIBs. |
But the «enusitv of lines in cach cluster is still iusufficieut for the svuthesized spectruni to approach observed spectra. | But the density of lines in each cluster is still insufficient for the synthesized spectrum to approach observed spectra. |
Section | therefore discusses the effects of inking together two or more of the selected elementary structures to GIVE so-caled composite structures. | Section 4 therefore discusses the effects of linking together two or more of the selected elementary structures to give so-called composite structures. |
This. too. “deusifies” the lue clusters. aud so helps 1nulding up the spectral bands. | This, too, “densifies" the line clusters, and so helps building up the spectral bands. |
It also gives rise to new "elobal. or bulk. 1oes, farther aud farther in the red. which coutribute to the uuderlvius contiuuuni. | It also gives rise to new “global", or bulk, modes, farther and farther in the red, which contribute to the underlying continuum. |
It turus out that at least a few thousand atoms are required for the svuthesized spectruui ο compare with observed spectra; | It turns out that at least a few thousand atoms are required for the synthesized spectrum to compare with observed spectra. |
Other cousideratious (scatteriue cross-secticn. resilieuce. ete.) | Other considerations (scattering cross-section, resilience, etc.) |
also poiut to much larger dust erain sizes (~O lina). | also point to much larger dust grain sizes $\sim0.1 \mu$ m). |
Based on the above. Sec. | Based on the above, Sec. |
5 displavs the concatenated spectruuu of a large family of clementary and composite structures. iu adequate relative numbers so as to best fit a typical UID spectruu. | 5 displays the concatenated spectrum of a large family of elementary and composite structures, in adequate relative numbers so as to best fit a typical UIB spectrum. |
The corresponudiug dust conrposition and strucures are eiveu iu Sec. | The corresponding dust composition and structures are given in Sec. |
6. | 6. |
Finally. excitation aud subsequenut ir ο]ΙΟn are discussed in Sec. | Finally, excitation and subsequent ir emission are discussed in Sec. |
7. | 7. |
This section describes the clemeutary structures that were used to build up a colpcucdinu whose ir spectru looks like a generic UID. spectra. | This section describes the elementary structures that were used to build up a compendium whose ir spectrum looks like a generic UIB spectrum. |
They were selected for their atomic composition to be compatible with cosmic albmucdauc‘os GQuainly hydrocarbons). for their siuicity aud for their spectra to clisplas OL or more lines within oue or more UID. but noue outside. | They were selected for their atomic composition to be compatible with cosmic abundances (mainly hydrocarbons), for their simplicity and for their spectrum to display one or more lines within one or more UIB, but none outside. |
Clues were also found in the sketches of ποιο kerogoe restructures (see Behar aud Vandenbroucke (1986).. aud coal structures (see Speight (1991))). | Clues were also found in the sketches of “young" kerogen structures (see Behar and Vandenbroucke \cite{beh}, and coal structures (see Speight \cite{spe}) ). |
The latter include not ouly small PAITs. but :so colcaterated G- and 5- membered rings. | The latter include not only small PAH's, but also concatenated 6- and 5- membered rings. |
Οἱ resis only an example of relevant selec‘tion. and does not. in auv way. nupv that it is the best. nor that it is exhaustive. | Our's is only an example of relevant selection, and does not, in any way, imply that it is the best, nor that it is exhaustive. |
The chemical computations were performed by means of UwperChem 7. a software xickaee commercialized by Hyperceube. Inc. The seui-ecuipirical. PMROE coluputaion πολλους was preferred because if was specifically optimized for lhivdrocarvon. structures and gives sufficiently accurate ir freqeneies (better than about 5 54) within reasonable computation times. | The chemical computations were performed by means of HyperChem 7, a software package commercialized by Hypercube, Inc. The semi-empirical, PM3/RHF computation method was preferred because it was specifically optimized for hydrocarbon structures and gives sufficiently accurate ir freqencies (better than about 5 $\%$ ) within reasonable computation times. |
Molecular Mechanics | Molecular Mechanics |
local solutions as I do here. in relsec;socakl showlhatintheisolhermalC ντο οεί. forthestellarparamelersusedbyC Aly | local solutions as I do here, in \\ref{sec_isocak} I show that in the isothermal CAK75 model, for the stellar parameters used by CAK75, the points that allow local solutions extend from the photospheric radius to beyond 100 times the photospheric radius. |
75. (hepointsl. | In the original CAK75 model the iterative process was done over a range of a few integers of the photospheric radius. |
Thus. the requirements for the existence of a global steady solution are (in addition to (he requirements of existence of a local steady solution) that a critical point exists such that upon integration of the equation of motion. these following (wo conditions hold: where q. denotes sonic point. ancl Lor (he points in the supersonic regions where h(q)«0 (other than the critical point q..) It is well known that when a Sobolev ireatient is used for the line radiation force. a steady. wind solution for earlv-tvpe stars is obtained (e.g.Owocki&Puls1999). | Thus, the requirements for the existence of a global steady solution are (in addition to the requirements of existence of a local steady solution) that a critical point exists such that upon integration of the equation of motion, these following two conditions hold: where $q_s$ denotes sonic point, and for the points in the supersonic regions where $h(q) < 0$ (other than the critical point $q_c$ ) It is well known that when a Sobolev treatment is used for the line radiation force, a steady wind solution for early-type stars is obtained \citep[e.g.,][]{owo99}. |
. In Paper L we illustrated. concepts and. notations by applying them (o the well-known CANK75 stellar wind. neglecting effects of gas pressure. | In Paper I we illustrated concepts and notations by applying them to the well-known well-studied CAK75 stellar wind, neglecting effects of gas pressure. |
Here I apply the concepts and notations that 1. present in this second paper. but now including gas pressure elfects under the assumption of an isothermal wind. | Here I apply the concepts and notations that I present in this second paper, but now including gas pressure effects under the assumption of an isothermal wind. |
The purpose of this section in not to shed new light on the CAIN75 model. which is already a well-studied model. but rather to illustrate the new concepts introduced in this paper bv applving them to a problem familiar to the ApJ reader. | The purpose of this section in not to shed new light on the CAK75 model, which is already a well-studied model, but rather to illustrate the new concepts introduced in this paper by applying them to a problem familiar to the ApJ reader. |
However. à new result is presented. that of the proof of existence of a local solution by analytical means rather (han by nunerical means. | However, a new result is presented, that of the proof of existence of a local solution by analytical means rather than by numerical means. |
This is signilicant. because the critical point. bv definition. is in the boundary between a solution region and a non-solution region. and therefore numerical methods which tvpicallv average parameter values in (he vicinitv of a point to extrapolate a function will present difficiles around (he critical point and will have to be adapted (αἱ (he critical point) to (he specilic case of line-criven winds. | This is significant because the critical point, by definition, is in the boundary between a solution region and a non-solution region, and therefore numerical methods which typically average parameter values in the vicinity of a point to extrapolate a function will present difficulties around the critical point and will have to be adapted (at the critical point) to the specific case of line-driven winds. |
In other words. subtle numerical methods have to be correctlv and consistently introduced eeared specifically to the case of line-clriven accretion winds. in order to integrate the equation of motion Irom the critical point. | In other words, subtle numerical methods have to be correctly and consistently introduced geared specifically to the case of line-driven accretion winds, in order to integrate the equation of motion from the critical point. |
Since the purpose of (his series of papers is (o analyze the steady nature of line-driven disk winds in a form independent of previous numerical efforts. | Since the purpose of this series of papers is to analyze the steady nature of line-driven disk winds in a form independent of previous numerical efforts, |
it has one of the better combinations of proximity and youth for a successful brown dwarf search. | it has one of the better combinations of proximity and youth for a successful brown dwarf search. |
UpSco is spread over approximately 250ddeg? of the sky but wide-field surveys now cover a significant portion of this area. | UpSco is spread over approximately $^2$ of the sky but wide-field surveys now cover a significant portion of this area. |
This paper analyses an infra-red 12ddeg? survey of part of UpSco, which lies roughly within 115h 40m to 16h 20m and Dec. -30 to -27 and is generally free of extinction with Av«2.0 (Ardilaetal.2000). | This paper analyses an infra-red $^2$ survey of part of UpSco, which lies roughly within 15h 40m to 16h 20m and Dec. -30 to -27 and is generally free of extinction with $A_{\rm V} < 2.0$ \citep{ard00}. |
. Despite its youth (stars later than F type have yet to reach the main sequence) star formation appears to have finished in the association within 1 Myr of commencing (Preibisch&Mamajek2008;deZeeuwetal.1999) so all members of the association are coeval. | Despite its youth (stars later than F type have yet to reach the main sequence) star formation appears to have finished in the association within 1 Myr of commencing \citep{pre08,dez99} so all members of the association are coeval. |
In Section 2 details of the survey and the data obtained are presented. | In Section 2 details of the survey and the data obtained are presented. |
Section 3 describes the selection of young brown dwarf candidates from photometric and proper motion analysis. | Section 3 describes the selection of young brown dwarf candidates from photometric and proper motion analysis. |
The results of this selection are used to analyse the IMF of Upper Scorpius in Section 4. | The results of this selection are used to analyse the IMF of Upper Scorpius in Section 4. |
Finally, in Section 5, our conclusions are drawn. | Finally, in Section 5, our conclusions are drawn. |
The United Kingdom Infra-Red Telescope (UKIRT) is currently conducting the United Kingdom Infra-red Deep Sky Survey (UKIDSS) - the results of which are being made available in a series of releases. | The United Kingdom Infra-Red Telescope (UKIRT) is currently conducting the United Kingdom Infra-red Deep Sky Survey (UKIDSS) - the results of which are being made available in a series of releases. |
This work used the 8th Data Release (DR8Plus). | This work used the 8th Data Release (DR8Plus). |
UKIDSS is made up of several components but the one of interest here is the Galactic Cluster Survey (GCS). | UKIDSS is made up of several components but the one of interest here is the Galactic Cluster Survey (GCS). |
Described in detail in Lawrenceetal.(2007) the GCS is a survey of ten large open star clusters and star forming regions, including UpSco. | Described in detail in \citet{lawrence07} the GCS is a survey of ten large open star clusters and star forming regions, including UpSco. |
One of the primary goals of the GCS is to conduct a census of very low mass brown dwarfs in order to investigate the form of the sub-stellar IMF. | One of the primary goals of the GCS is to conduct a census of very low mass brown dwarfs in order to investigate the form of the sub-stellar IMF. |
The GCS takes infra-red images via five passband filters - Z, Y, J, H and K with effective wavelengths of 0.88um, 1.03um, 1.25um, 1.63um, and 2.20μπι respectively, and magnitude limits of Z=20.4, Y=20.3, J= 19.5, H=18.6 and K=18.6. | The GCS takes infra-red images via five passband filters - Z, Y, J, H and K with effective wavelengths of $0.88\mu$ m, $1.03\mu$ m, $1.25\mu$ m, $1.63\mu$ m, and $2.20\mu$ m respectively, and magnitude limits of Z=20.4, Y=20.3, J= 19.5, H=18.6 and K=18.6. |
The instrument used to take the images is the Wide Field Camera (WFCAM). | The instrument used to take the images is the Wide Field Camera (WFCAM). |
Data collected by the WFCAM is subject to an automated process that detects and parameterises objects and performs photometric and astrometric calibrations. | Data collected by the WFCAM is subject to an automated process that detects and parameterises objects and performs photometric and astrometric calibrations. |
The resulting reduced image frames and catalogues are then placed in the WFCAM Science Archive (WSA). | The resulting reduced image frames and catalogues are then placed in the WFCAM Science Archive (WSA). |
The WSA can be interrogated using Structured Query Language (SQL). | The WSA can be interrogated using Structured Query Language (SQL). |
A set of five papers provide the reference technical documentation for UKIDSS. | A set of five papers provide the reference technical documentation for UKIDSS. |
Casalietal.(2007) presents technical details of the WFCAM, Hodgkinetal.(2009) describes the WFCAM photometric system, Hamblyetal.(2008) describes the WSA and offers instruction on how to extract information from it using SQL. | \citet{cas07} presents technical details of the WFCAM, \citet{hod09} describes the WFCAM photometric system, \citet{ham08} describes the WSA and offers instruction on how to extract information from it using SQL. |
As previously mentioned Lawrenceetal.(2007) presents the details of the different UKIDSS surveys, including the GCS. | As previously mentioned \citet{lawrence07} presents the details of the different UKIDSS surveys, including the GCS. |
The fifth paper (Irwinetal.inpreparation) will describe the details of the data reduction pipeline which is run by the Cambridge University Astronomical Survey Unit (CASU), but sufficient information for an overview of the data reduction pipeline can be gleaned from the other four papers and by referring to Dyeetal.(2006) and Warrenetal.(2007)footnotemark|1]. | The fifth paper \citep{irw09} will describe the details of the data reduction pipeline which is run by the Cambridge University Astronomical Survey Unit (CASU), but sufficient information for an overview of the data reduction pipeline can be gleaned from the other four papers and by referring to \citet{dye06} and \citet{war07}. |
. As shown in figure 1, the area in UpSco investigated here and surveyed for DR8Plus covers ddeg?. | As shown in figure 1, the area in UpSco investigated here and surveyed for DR8Plus covers $^2$. |
The data for objects in the target area were obtained via an SQL query (see Appendix A for a typical query) to the UKIDSS GCS database. | The data for objects in the target area were obtained via an SQL query (see Appendix A for a typical query) to the UKIDSS GCS database. |
All queries were structured to include only point source objects in order to avoid contamination by extended sources (e.g. relatively nearby galaxies). | All queries were structured to include only point source objects in order to avoid contamination by extended sources (e.g. relatively nearby galaxies). |
Objects in the WSA are given what is known as a discrete image classification, with point sources having values between -2 and -1. | Objects in the WSA are given what is known as a discrete image classification, with point sources having values between -2 and -1. |
The lines in the query that refer to “passband”class, e.g. zclass, values of between -2 and -1, are designed to filter out extended sources. | The lines in the query that refer to “passband”class, e.g. zclass, values of between -2 and -1, are designed to filter out extended sources. |
Note that requiring this value to be between -2 and -1 in every passband may exclude some sources with very low signal to noise ratios. | Note that requiring this value to be between -2 and -1 in every passband may exclude some sources with very low signal to noise ratios. |
As every object with photometric characteristics consistent with a brown dwarf had its proper motion assessed, in order to check whether it is likely a member of UpSco, each query submitted also correlated all objects found in the UKIRT GCS databases with those found in 2MASS databases (Skrutskieetal.2006). | As every object with photometric characteristics consistent with a brown dwarf had its proper motion assessed, in order to check whether it is likely a member of UpSco, each query submitted also correlated all objects found in the UKIRT GCS databases with those found in 2MASS databases \citep{skrutskie06}. |
. The 2MASS data is used as a first epoch for the purposes of proper motion calculation. | The 2MASS data is used as a first epoch for the purposes of proper motion calculation. |
'The query shown in Appendix A was submitted to the WSA. | The query shown in Appendix A was submitted to the WSA. |
The query returned 282,938 objects and the colour magnitude diagrams shown in figure 2 were plotted. | The query returned 282,938 objects and the colour magnitude diagrams shown in figure 2 were plotted. |
Known brown dwarfs from other studies (Martinetal.2004;Slesnick are shown as open | Known brown dwarfs from other studies \citep{mar04,sle06,lodieu08,lodieu11} are shown as open |
turbulence have. been proposed. for other types of stars. | turbulence have been proposed for other types of stars. |
‘Talonetal.(2006) have investigated to what extent. these are consistent with the anomalies. observed. on Am/Pm stars. | \cite{talon06} have investigated to what extent these are consistent with the anomalies observed on Am/Fm stars. |
They find that the precision of current abundances is insullicient to distinguish between mocels. | They find that the precision of current abundances is insufficient to distinguish between models. |
More recently. Michaudοἱal.(2011). have studied the abundance anomalies of the mild. Am star Sirius A. They. fined that except for D. N and Na. there is σους agreement with the preclieted anomalies but turbulent mixing or mass loss is required. | More recently, \citet{michaud11} have studied the abundance anomalies of the mild Am star Sirius A. They find that except for B, N and Na, there is good agreement with the predicted anomalies but turbulent mixing or mass loss is required. |
]t is not clear whether it is turbulence or mass loss which competes with cilfusion to lower the abundance anomalies. | It is not clear whether it is turbulence or mass loss which competes with diffusion to lower the abundance anomalies. |
For example. Vicketal.(2011). find that. dillusion. in the presence of weak mass loss can explain the observed abundance anomalies of pre-main-sequence stars. | For example, \citet{vick11} find that diffusion in the presence of weak mass loss can explain the observed abundance anomalies of pre-main-sequence stars. |
This i5 in contrast to turbulence models which do not allow for abundance anomalies to develop on the pre-main-sequence. | This is in contrast to turbulence models which do not allow for abundance anomalies to develop on the pre-main-sequence. |
Alost of the pulsational driving in 0 Scuti stars is caused by the # mechanism operating in the ionization zone. | Most of the pulsational driving in $\delta$ Scuti stars is caused by the $\kappa$ mechanism operating in the ionization zone. |
Dilfusion tends to drain He from this zone and therefore pulsational driving may be expected to be weaker or absent in Am/Em stars (Baglin1972). | Diffusion tends to drain He from this zone and therefore pulsational driving may be expected to be weaker or absent in Am/Fm stars \citep{baglin72}. |
. In fact. for many vears it was thought that classical μιΕπι stars did not. pulsate. though claims were mace for some stars(ναί1989). | In fact, for many years it was thought that classical Am/Fm stars did not pulsate, though claims were made for some stars\citep{kurtz89}. |
. ltecently. intensive ground-based. observations bx. SUPER-WASP (Smalleyctal.2011).. and also from the Nepler mission (Balonaetal.2011) have shown that many Am/bm stars do pulsate. Smalleyctal.(2011). | Recently, intensive ground-based observations by SUPER-WASP \citep{smalley11}, and also from the mission \citep{balona11} have shown that many Am/Fm stars do pulsate. \citet{smalley11}, |
. for example. found that about 200 Am/Fm stars out of a total of 1600 (12.5 percent) show 9 Set pulsations. but with generally lower amplitudes. | for example, found that about 200 Am/Fm stars out of a total of 1600 (12.5 percent) show $\delta$ Sct pulsations, but with generally lower amplitudes. |
They. found that the pulsating Am/Pn stars are confined between the red ancl blue racial fundamental edges. in agreement with Balonaetal.(2011). | They found that the pulsating Am/Fm stars are confined between the red and blue radial fundamental edges, in agreement with \citet{balona11}. |
. While there are many o Set stars hotter than the fundamental blue edge. this does not seem to be the case for pulsating anEm stars. | While there are many $\delta$ Sct stars hotter than the fundamental blue edge, this does not seem to be the case for pulsating Am/Fm stars. |
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