A potential including Heaviside function in 1+1 dimensional Landau hydrodynamics Takuya Mizoguchi* *Toba National College of Maritime Techn ology, Japan Contents Introduction Landau model and three solutions Data analyses of hadrons (RHIC , K) Explanation of net-proton Summary H. Miyazawa**, M. Biyajima**, M. Ide** **Shinshu Un iversity, Japan
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A potential including Heaviside function in 1+1 dimensional Landau hydrodynamics
A potential including Heaviside function in 1+1 dimensional Landau hydrodynamics. Takuya Mizoguchi* *Toba National College of Maritime Technology, Japan. Contents Introduction Landau model and three solutions Data analyses of hadrons (RHIC p , K) Explanation of net-proton Summary. - PowerPoint PPT Presentation
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A potential including Heaviside function in 1+1 dimensional
Landau hydrodynamicsTakuya Mizoguchi*
*Toba National College of Maritime Technology, Japan
ContentsIntroductionLandau model and three solutionsData analyses of hadrons (RHIC , K)Explanation of net-protonSummary
H. Miyazawa**, M. Biyajima**, M. Ide** **Shinshu University, Japan
Introduction• 1+1 dimensional hydrodynamics proposed by
Landau– Landau’s solution (1953)– A boost non-invariant solution by Srivastava et al.
(1993)– Our solution including Heviside function (2008, 9)
• Three solutions cannot explain the net-proton at RHIC– New approach (2009)– Preliminary results on net-proton
Perfect fluid
(1+1) dimension
Landau's solutionL. D. Landau, Izv. Akad. Nauk Ser. Fiz. 17, 51 (1953)
Solution by Srivastava et al.D. K. Srivastava et al., Annals Phys. 228, 104 (1993)
Bessel function
ycs
y
c
s
ycs
Our analytical solution with the Heaviside functionMizoguchi, Miyazawa, Biyajima, Eur. Phys. J. A 40, 99 (2009)
(Cf. D. G. Duffy, “Green‘s functions with applications”, Ivar Stakgold, "Boundary Value Problems of Mathematical Physics“)
= 3 520
Competition!!
• T. Mizoguchi and M. Biyajima, Genshikaku Kenkyu (in Japanese), Vol. 52 Suppl. 3 (Feb. 2008) 61.
• Our talk in Annual Meeting for Physical Society of Japan (Mar. 2008, Kinki Univ. (Osaka))
The same expression as our solutionBeuf, Peschanski, Saridakis, Phys.Rev.C78 (2008) 064909