A Relativistic Diffusion Model (RDM) for high-energy heavy-ion collisions is outlined and used to investigate stopping and particle production. With three sources for particle production, the energy-and centrality dependence of rapidity distributions of net protons, and pseudorapidity distributions
Nonlinear diffusion and particle production in relativistic systems
β Scribed by Georg Wolschin
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 188 KB
- Volume
- 820
- Category
- Article
- ISSN
- 0375-9474
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β¦ Synopsis
The short parton production phase in high-energy heavy-ion collisions is treated analytically as a nonlinear diffusion process. The initial buildup of the rapidity density distributions of produced charged hadrons within Οp 0.25 fm/c occurs in three sources during the colored partonic phase. In a two-step approach, the subsequent diffusion in pseudorapidity space during the interaction time of Οint 7-10 fm/c (mean duration of the collision) is essentially linear as expressed in the Relativistic Diffusion Model (RDM) which yields excellent agreement with the data at RHIC energies, and allows for predictions at LHC energies. Results for d+Au are discussed in detail.
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Diffusion problem with variable diffusion coefficient in a spherical biological system is investigated. Also included in this study is the biological reaction of the Michaelis-Menten type. The problem formulated consists of a highly nonlinear differential equation which, however, can be efficiently