2007
DOI: 10.1103/physrevlett.99.170601
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Abstract: There is an intense debate in the recent literature about the correct generalization of Maxwell's velocity distribution in special relativity. The most frequently discussed candidate distributions include the Jüttner function as well as modifications thereof. Here we report results from fully relativistic one-dimensional molecular dynamics simulations that resolve the ambiguity. The numerical evidence unequivocally favors the Jüttner distribution. Moreover, our simulations illustrate that the concept of ''ther… Show more

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Cited by 116 publications
(233 citation statements)
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“…Within a collisional environment, a Maxwell-Jüttner would seem legitimate since collisions are to relax any distribution to this one. 124 In a magnetized plasma, the use of gyrotropic distributions that only depend on two momentum coordinates may also be justified. However, in the unmagnetized collisionless regime addressed in …”
Section: A About the Model Distribution Functionsmentioning
confidence: 99%
See 1 more Smart Citation
“…Within a collisional environment, a Maxwell-Jüttner would seem legitimate since collisions are to relax any distribution to this one. 124 In a magnetized plasma, the use of gyrotropic distributions that only depend on two momentum coordinates may also be justified. However, in the unmagnetized collisionless regime addressed in …”
Section: A About the Model Distribution Functionsmentioning
confidence: 99%
“…These doubts were recently ruled out by molecular dynamics simulations. 124,138 For a beam drifting along the y direction, the so-called Maxwell-Jüttner distribution function in momentum space reads…”
Section: E Maxwell-jüttner Calculationsmentioning
confidence: 99%
“…(12) and (13) over v y (v x ). We have also used the fact that the temperature parameters in the moving frame are the same as that of the rest frame [14,15]. As clearly seen from numerical results, our two dimensional model shows that t-averaged PDF (+) is fitted to the expected x(y) component of Jüttner function (dotted red line).…”
mentioning
confidence: 93%
“…Figure 2 shows simulation results for a system described in Fig.1 with u = 0.1. Here, t-averaged PDF is obtained by measuring velocities simultaneously with respect to the moving observer as described in [14,15]. Considering the Lorentz invariance of proper-time it is not difficult to find the τ -averaged PDF in the moving frame.…”
mentioning
confidence: 99%
“…One of the methods to study the relativistic equilibrium DF of particles is to perform fully relativistic molecular dynamics simulations (see Cubero et al 2007, for the 1D case; Montakhab et al 2009, for the 2D case; and Peano et al 2009, for the 3D case). However, to justify the use of the relativistic equilibrium DF in astrophysics, an observational confirmation is required.…”
Section: Introductionmentioning
confidence: 99%