函数空间中的热力学关系
Thermodynamical Relations in Function Space
摘要：
我们制定的场自由度的基础上，通过引入一个工作引起的体积变化的函数空间中，除了通常的工作与空间体积变化。热力学的第一和第二热力学定律被定义为这样一个工作固有的场论通过推广随机能量学（随机热力学）的经典的真正的标量场与热浴接触。我们进一步讨论了函数空间中的局部平衡问题，并指出引入一个与所导出的热力学定律相一致的泛函理想流体力学模型是可能的。
英文摘要：
We formulate thermodynamical relations based on the field degrees of freedom by introducing a work induced by the volume change in the function space, in addition to the usual work associated with the spatial volume change. The first and second laws of thermodynamics are defined for such a work inherent to the field theory by generalizing stochastic energetics (stochastic thermodynamics) to the classical real scalar field in contact with a heat bath. We further discuss the local equilibrium ansatz in the function space and show that it is possible to introduce a model of functional ideal hydrodynamics, which is consistent with the derived thermodynamical laws.
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