In this talk I consider how to reduce the second law of thermodynamics. I first discuss what I mean by ‘reduction’, and emphasis how functionalism can be helpful in securing reductions. Then I articulate the second law, and discuss what the ramifications of Maxwell’s demon are for the status of the second law. Should we take Maxwell’s means-relative approach? I argue no: the second law is not a relic of our inability to manipulate individual molecules in the manner of the nimble-fingered demon. When articulating the second law, I take care to distinguish it from the minus first law (Brown and Uffink 2001); the latter concerns the spontaneous approach to equilibrium whereas the former concerns the thermodynamic entropy change between equilibrium states, especially in quasi-static processes. Distinguishing these laws alters the reductive project (Luczak 2018): locating what Callender (1999) calls the Holy Grail – a non-decreasing statistical mechanical quantity to call entropy – is neither necessary nor sufficient. Instead, we must find a quantity that plays the right role, viz. to be constant in adiabatic quasi-static processes and increasing in non-quasi-static processes, and I argue that the Gibbs entropy plays this role.
There will be a dinner following the seminar (this week at Carluccio's), open to all (at your own expense). Please email email@example.com by Wednesday morning before the seminar if you would like to attend.
Philosophy of Physics Seminar Convenors for HT19: James Read and Simon Saunders