AI 中文总结
本文通过时间尺度论证和数值演示，质疑了暖湍流级联解的普适性，指出热阻尼的非局部效应可能导致对紫外截断的依赖。
AI 中文摘要
通常假设波动力学方程的一般稳态解仅由守恒通量和温度描述。由这些量参数化的解族被称为暖级联，可从波动力学的微分模型中导出。这些模型依赖于局部相互作用的假设，我们通过时间尺度论证表明，热阻尼对级联的非局部效应可能导致对额外参数（紫外截断）的依赖，从而对暖级联解的有效性提出质疑。这一结论在具有三波和四波相互作用的系统中均得到证明。随后，我们考虑该阻尼对级联的耗竭作用，并对此非局部且非普适的行为进行数值演示。
英文摘要
It is often assumed that general stationary solutions to the wave kinetic equation are described solely by conserved fluxes and temperature. The families of solutions parameterized by these quantities are referred to as warm cascades, and are derivable from differential models of wave kinetics. These models rely on the assumption of local interactions, and we demonstrate by a time scale argument that the nonlocal effect of thermal damping on the cascade may result in dependence on an additional parameter, the UV cutoff, calling into question the validity of warm cascade solutions. This is shown for systems with both three-wave and four-wave interactions. We then consider the depletion of the cascade by this damping, and present a numerical demonstration of this nonlocal and nonuniversal behavior.
