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Covers the study of (primarily homogeneous) macroscopic systems from a heat/energy/entropy point of view. Consider also using the tag: [statistical-mechanics].

3 votes
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The first law of Thermodynamic in curved space

As we know, the first law of thermodynamic is $ dE=TdS-PdV+\mu dN $. is it true for a generic metric? what is the covariant form of this equation? for example, I think chemical potential and number d …
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0 votes
1 answer
183 views

Derivative expansion in hydrodynamics and the definition of the temperature

Thermodynamic quantities are well defined at equilibrium. a fluid at zeroth order can be approximated by a perfect fluid and conserved currents such as electric current and energy momentum tensor is g …
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2 votes
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125 views

Temperature of AdS-Schwarzchild black holes? How physics is the same for different temperatu...

The five dimensional Schwarzchild-AdS black brane's metric is given by $$ ds^2_5=-\left(\frac{r}{L}\right)^2h(r)dt^2+\frac{dr^2}{\left(\frac{r}{L}\right)^2h(r)}+\left(\frac{r}{L}\right)^2(dx^2+dy^2+dz …
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