同时守恒约束下的函数微分(统计物理和流体力学中的约束函数微分)
Functional differentiation under simultaneous conservation constraints (Constrained functional differentiation in statistical physics and hydrodynamics)
摘要:
本文导出了在K-守恒约束下的函数微分的解析公式,其中K是函数变量的某个函数的积分,适当地考虑了归一化和统计平均值的同时守恒,例如,在非变分建立的物理理论中,函数分化是可能的,这与非平衡,时间依赖理论特别相关。
英文摘要:
Analytical formulae for functional differentiation under simultaneous K-conservation constraints, with K the integral of some function of the functional variable, are derived, making the proper account for the simultaneous conservation of normalization and statistical averages, e.g., possible in functional differentiation in nonvariationally built physical theories, which gets particular relevance for nonequilibrium, time-dependent theories.
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。