arXiv 0709.36772007-09-24nucl-th

相对论性理想流体动力学加速简单解的详细描述

Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics

M. I. Nagy, T. Csorgo, M. Csanad

备注：: 34 pages, 8 figures, detailed write-up of http://arxiv.org/abs/nucl-th/0605070/
发表信息：: Phys.Rev.C77:024908,2008
DOI：: 10.1103/PhysRevC.77.024908

摘要：

在本文中，我们全面详细地描述了最近发现的相对论性，完美的流体动力学的精确解的一个新的家庭。通过一个推广了著名的Hwa-Bjorken解的计算器，我们得到了一类新的精确、显式和简单的解，与目前已知的精确和显式解相比，它们有一个显著的优点：它们不缺乏加速度。它们可以用来描述高能重离子碰撞中产生的物质的演化。由于这些解正在加速，它们提供了比著名的Hwa-Bjorken解更真实的画面，并提供了对物质动力学的更多见解。我们利用这一点，给出了一个先进的简单的估计的初始能量密度的产生的物质在高能碰撞，其中考虑到加速效应（即所做的工作的压力和修改后的体积元素的变化）。我们也给出了一个先进的估计的反应寿命。我们的新解决方案也可以用来测试数值流体动力学代码可靠。最后，我们也给出了一个精确的，1+1维，相对论流体动力学解，其中的初始压力和速度的轮廓是任意的，我们表明，这个一般的解决方案是稳定的扰动。

英文摘要：

In this paper we describe in full details a new family of recently found exact solutions of relativistic, perfect fluid dynamics. With an ansatz, which generalizes the well-known Hwa-Bjorken solution, we obtain a wide class of new exact, explicit and simple solutions, which have a remarkable advantage as compared to presently known exact and explicit solutions: they do not lack acceleration. They can be utilized for the description of the evolution of the matter created in high energy heavy ion collisions. Because these solutions are accelerating, they provide a more realistic picture than the well-known Hwa-Bjorken solution, and give more insight into the dynamics of the matter. We exploit this by giving an advanced simple estimation of the initial energy density of the produced matter in high energy collisions, which takes acceleration effects (i.e. the work done by the pressure and the modified change of the volume elements) into account. We also give an advanced estimation of the life-time of the reaction. Our new solutions can also be used to test numerical hydrodynamical codes reliably. In the end, we also give an exact, 1+1 dimensional, relativistic hydrodynamical solution, where the initial pressure and velocity profile is arbitrary, and we show that this general solution is stable for perturbations.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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