弱背景电磁场存在下相对论耗散多组分流体的通用一阶本构方程
General first-order constitutive equations for a relativistic dissipative multi-component fluid in the presence of a weak background electromagnetic field
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中文总结 AI 辅助
本文为弱电磁场中的相对论多组分等离子体建立通用一阶本构方程，考虑电磁力为耗散驱动力，满足昂萨格关系与热力学第二定律，并推导二元混合物在任意时空背景下的演化方程。
中文摘要 AI 辅助
在这项工作中，我们为相对论等离子体建立了通用的本构方程，该等离子体由任意数量的经典、带电且化学上不发生反应的组分组成，并处于背景电磁场中。假设作用于任一组分的电磁力强度与状态变量的梯度相当，因此在梯度展开中将其视为一阶耗散驱动力。假设各组分在平衡时具有相同的温度和速度流，我们确定了熵产生，并基于一阶框架不变量的量建立了本构方程。给出了相应输运系数的条件，以满足昂萨格倒易关系及热力学第二定律。特别地，我们讨论了二元混合物中可能对天体物理和宇宙学应用相关的交叉效应。最后，我们推导了一组完整的演化方程，用于描述在任意时空背景上传播的二元混合物的动力学。
英文摘要
In this work we establish general constitutive equations for a relativistic plasma composed of an arbitrary number of classical, charged, and chemically non-reacting species in the presence of a background electromagnetic field. The intensity of the electromagnetic force acting on either species is assumed to be comparable with the gradients of the state variables and is thus considered as a first-order driving force for dissipation within the gradient expansion. Assuming that the species share the same temperature and velocity flow when in equilibrium, we determine the entropy production and establish constitutive equations in terms of first-order frame invariant quantities. Conditions on the corresponding transport coefficients are given in order to comply with Onsager's reciprocal relations and the second law of thermodynamics. In particular, we discuss cross effects for the binary mixture which may be relevant for astrophysical and cosmological applications. Finally, we derive a complete set of evolution equations governing the dynamics of a binary mixture propagating on an arbitrary spacetime background.
发表机构
- Universidad Autónoma Metropolitana-Cuajimalpa（墨西哥自治大学夸希马尔帕分校）
- Universidad Michoacana de San Nicolás de Hidalgo（米却肯圣尼古拉斯自治大学）
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