The demon and the einstein solid consider a demon that exchanges energy with an einstein solid of n particles. the demon selects a particle at random and randomly changes its energy by #1 consistent with the constraint that ed 20. in this case the energy of the particle in the system also must remain nonnegative. why? if a trial change is not accepted, the existing microstate is counted in all averages. use program ideal thermometereinsteinsolid to do the simulations. (a) choose n = 40 and e = 200. what is the mean energy of the demon after equilibrium between the demon and the system has been established? compare the values of ed and e/n. fix n = 40 and increase e. how does ed depend on e/n for e/n> > 12 (b) consider small values of e/n and determine if there is a simple relation between ed and e/n for the einstein solid. (c) compute the probability density p(ed) for various values of e and n. fit your results to the form ped) a exp(-bed), where b is a parameter. does the form of ped) depend on e or n? (d) explain why the form of ped) is given by the boltzmann distribution. what property of the demon appears to be universal?