While $\delta Q=T\ dS$ allows for obtaining the entropy change of an isolated system in equilibrium by measuring the heat exchange with the environment, I was wondering whether there are ways to obtain an entropy field distribution, potentially also in non-equilibrium systems?

While $$\delta Q=T\ dS$$ allows for obtaining the entropy change of an isolated system in equilibrium by measuring the heat exchange with the environment, I was wondering whether there are ways to obtain an entropy field distribution, potentially also in non-equilibrium systems?

While $\delta Q=T\ dS$ allows for obtaining the entropy change of an isolated system in equilibrium by measuring the change of heat and the temperature, I was wondering what was there are to obtain an entropy field distribution, potentially also in non-equilibrium states?

While $\delta Q=T\ dS$ allows for obtaining the entropy change of an isolated system in equilibrium by measuring the heat exchange with the environment, I was wondering whether there are ways to obtain an entropy field distribution, potentially also in non-equilibrium systems?