论文标题
Lorentz侵略理论中的Boltzmann方程和平衡热力学
The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories
论文作者
论文摘要
在这项工作中，我们将相对论动力学理论和玻尔兹曼方程的基础适应具有洛伦兹侵入性分散关系的颗粒。后者被视为与最小标准模型扩展中通常考虑的两组系数相关的那些。我们同时处理经典（Maxwell-Boltzmann）和量子（Fermi-Dirac和Bose-Einstein）统计案例。结果表明，有了熵电流的适当定义，Boltzmann的H Theorem继续保持。我们得出平衡溶液，然后确定各种热力学变量的洛伦兹侵略效应，以及bose-内的凝结。最后，考虑了与化学或核反应相对应的多种颗粒之间的非弹性碰撞的情况。
In this work we adapt the foundations of relativistic kinetic theory and the Boltzmann equation to particles with Lorentz-violating dispersion relations. The latter are taken to be those associated to two commonly considered sets of coefficients in the minimal Standard-Model Extension. We treat both the cases of classical (Maxwell-Boltzmann) and quantum (Fermi-Dirac and Bose-Einstein) statistics. It is shown that with the appropriate definition of the entropy current, Boltzmann's H-theorem continues to hold. We derive the equilibrium solutions and then identify the Lorentz-violating effects for various thermodynamic variables, as well as for Bose-Einstein condensation. Finally, a scenario with non-elastic collisions between multiple species of particles corresponding to chemical or nuclear reactions is considered.
