Cooling and heating functions describe how radiative processes impact the thermal state of the gas as a function of its temperature and other physical properties. In a most general case they depend on the detailed distributions of level populations of numerous ionic species and on the radiation spectrum. Hence, these functions may vary on a very wide range of spatial and temporal scales. In this paper, we explore cooling and heating functions between $5leq z leq10$ in simulated galaxies from the Cosmic Reionization On Computers (CROC) project. We find that the actual cooling (heating) rates experienced by the gas at different temperatures in the simulations do not correspond to any single cooling (heating) function. Gas about $T gtrsim 10^{4}$ K has sufficiently different combinations of density, metallicity, and photoionization rates than colder gas such that, if the hot gas were suddenly cooler, it would still cool and heat more efficiently than $T lesssim 10^{4}$ K gas. In other words, the thermodynamics of the gas in the simulations cannot be described by a single set of a cooling plus a heating function that could be computed with common tools, such as Cloudy.
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