Relativistic Langevin Dynamics in Expanding Media - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2013

Relativistic Langevin Dynamics in Expanding Media

Min He
  • Function : Author
H. van Hees
  • Function : Author
Rainer J. Fries
  • Function : Author
R. Rapp
  • Function : Author

Abstract

We study the consequences of different realizations of diffusion processes in relativistic Langevin simulations. We elaborate on the Ito-Stratonovich dilemma by showing how microscopically calculated transport coefficients as obtained from a Boltzmann/Fokker-Planck equation can be implemented to lead to an unambiguous realization of the Langevin process. Pertinent examples within the pre-point (Ito) and post-point (Hänggi-Klimontovich) Langevin prescriptions are worked out explicitly. Deviations from this implementation are shown to generate variants of the Boltzmann distribution as the stationary (equilibrium) solutions. Finally, we explicitly verify how the Lorentz invariance of the Langevin process is maintained in the presence of an expanding medium, including the case of an "elliptic flow" transmitted to a Brownian test particle. This is particularly relevant for using heavy-flavor diffusion as a quantitative tool to diagnose transport properties of QCD matter as created in ultrarelativistic heavy-ion collisions.

Dates and versions

in2p3-00835777 , version 1 (19-06-2013)

Identifiers

Cite

Min He, H. van Hees, Pol-Bernard Gossiaux, Rainer J. Fries, R. Rapp. Relativistic Langevin Dynamics in Expanding Media. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2013, 88, pp.032138. ⟨10.1103/PhysRevE.88.032138⟩. ⟨in2p3-00835777⟩
29 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More