id author title date pages extension mime words sentences flesch summary cache txt work_sb7vzgl32fglrbhqvhlagfgeau Charlotte Werndl Rethinking Boltzmannian Equilibrium 2015 14 .pdf application/pdf 5398 523 67 Boltzmannian statistical mechanics partitions the phase space into macroregions, and the largest of these is identified with equilibrium. argument, the Maxwell-Boltzmann distribution, and maximum entropy considerations. correspond to the macrostates, and the largest cell is singled out as the equilibrium In analogy with the standard thermodynamic definition of equilibrium, we characterise equilibrium as the macrostate in which the system spends most of its time. To determine the equilibrium distribution, Boltzmann assumed that the energy ei of particle i depends subset of ΓE, systems approach equilibrium and spend most of their time in ΓMeq. This shows that the BSM definition of equilibrium is a good approximation to For these reasons the Maxwell-Boltzmann distribution is the equilibrium distribution only for a limited class of systems and cannot be taken as a general is the macrostate compatible with the largest number of microstates, that equilibrium corresponds to the Maxwell-Boltzmann distribution and that most states are ./cache/work_sb7vzgl32fglrbhqvhlagfgeau.pdf ./txt/work_sb7vzgl32fglrbhqvhlagfgeau.txt