New Improvements in the Atmospheric Depth Profile JUAN CRUZ MORENO Universidad Nacional de La Plata Instituto de Física La Plata
Pierre Auger Collaboration Meeting Malargüe, 14th – 20th November 2009
Pierre Auger Collaboration Meeting
The Model
Air as an Ideal Gas and Pressure Hydrostatic behaviour. Temperature constant in the layer. Isothermic Models
X(h) = al + bl e
h cl
Linear Variation of Temperature with altitude (T(h) = T0 + ∆(h-h0) ). Non Isothermic Model X(h) =
ρlTl R Δ(h hl ) 1 gM Tl
New Improvements in the Atmospheric Depth Profile
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gM RΔ
Juan Cruz Moreno
November 14th 2009
Pierre Auger Collaboration Meeting
The Fit
Dataset: 278 Balloons launched in the period Feb 03 – Dic 08. 34 Balloons discarded. 244 Balloons.
Grouped in 6 bins according Temperature at ground Bin
1
2
3
4
5
6
T[K]
268-275
275-280
280-285
285-290
290-295
295-302
N
6
28
51
60
59
40
Function: 5 layers (l=1, 2, 3, 4, 5)
X(h) = al (1 bl (h hl ))cl
X(h), ρ(h) continuous between layers
X(h) and ρ(h) match with the Linsley value at the end of the last layer.
Free Parameters: Fit the data and obtain bl (l=1, 2, 3, 4, 5)
New Improvements in the Atmospheric Depth Profile
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Juan Cruz Moreno
November 14th 2009
Pierre Auger Collaboration Meeting
The Outcomes 
Excellent Fit of the Experimental data. It is better than Linsley as expected by the previous studies.
New Improvements in the Atmospheric Depth Profile
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Juan Cruz Moreno
November 14th 2009
Pierre Auger Collaboration Meeting
The Outcomes 
With the parameters bl obtained from the fit. We obtain the expression bl (Tground).
New Improvements in the Atmospheric Depth Profile
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Juan Cruz Moreno
November 14th 2009
Pierre Auger Collaboration Meeting
The Comparison 
Difference between the experimental data and the model prediction (Complete set of balloons): Similar to New Monthly Model.
Non Isothermic Model New Improvements in the Atmospheric Depth Profile
New Monthly Model –
Juan Cruz Moreno
November 14th 2009
Pierre Auger Collaboration Meeting
The Comparison
Hot Day in Winter and Cold Day in Summer : Predictions of the Models.
February 7, 2009 – Tground = 284.98K
December 5, 2005 – Tground = 286.7K
Cold Day in Summer: Difference between the experimental data and the model prediction (Red = NMM . Blue = NonIsothermic) New Improvements in the Atmospheric Depth Profile
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Juan Cruz Moreno
November 14th 2009
Pierre Auger Collaboration Meeting
The Comparison
Hot Day in Winter and Cold Day in Summer : Predictions of the Models.
June 27, 2008 – Tground = 288.11K
July 31, 2003 – Tground = 291.69 K
Hot Day in Winter: Difference between the experimental data and the model prediction (Red = NMM . Blue = NonIsothermic) New Improvements in the Atmospheric Depth Profile
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Juan Cruz Moreno
November 14th 2009
Pierre Auger Collaboration Meeting
The Summary
Non Isothermic Model: A New Model to describe the Atmospheric Depth Profile based in Temperature Gradient in the layers and Temperature at ground to characterize the profile.
Excellent fit of the experimental data in the Auger South site.
The Atmospheric depth profile could be descripted in equivalent way by the NMM or the Non Isothermic Model.
This model and the NMM will be available in the next AIRES version. The user choose the Atmospheric Model.
New Improvements in the Atmospheric Depth Profile
–
Juan Cruz Moreno
November 14th - 2009
Pierre Auger Collaboration Meeting
The Outcomes 
With the parameters cl obtained from the fit. We obtain the expression cl (Tground).
New Improvements in the Atmospheric Depth Profile
–
Juan Cruz Moreno
November 14th 2009