论文标题
非线性扩散和玻色子的扩散
Nonlinear diffusion of fermions and bosons
论文作者
论文摘要
提出了非线性扩散方程，以通过分析溶液来解释费米和骨系统中的热化。对于恒定的传输系数，通过非线性转换得出了精确的时间依赖性溶液，并推导了相应的局部平衡时间。 Fermi-Dirac和Bose-Einstein分布作为非线性方程的固定溶液出现。例如，讨论了相对论重离子碰撞中夸克和胶子的局部热化，以及包括时间依赖性的玻色 - 因斯坦冷凝物形成在内的超速原子的局部热化。
A nonlinear diffusion equation is proposed to account for thermalization in fermionic and bosonic systems through analytical solutions. For constant transport coefficients, exact time-dependent solutions are derived through nonlinear transformations, and the corresponding local equilibration times are deduced. Fermi-Dirac and Bose-Einstein distributions emerge as stationary solutions of the nonlinear equation. As examples, local thermalization of quarks and gluons in relativistic heavy-ion collisions, and of ultracold atoms including time-dependent Bose-Einstein condensate formation are discussed.
