We compute the distribution of the work done in driving a single Ising spin
with a time-dependent magnetic field. Using Glauber dynamics we perform
Monte-Carlo simulations to find the work distributions at different driving
rates. We find that in general the work-distributions are broad with a
significant probability for processes with negative dissipated work. The
special cases of slow and fast driving rates are studied analytically. We
verify that various work fluctuation theorems corresponding to equilibrium
initial states are satisfied while a steady state version is not.Comment: 9 pages, 15 figure
