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Statistical thermodynamics of small systems shows dramatic differences from normal systems. Parallel to the recently presented steady-state thermodynamic formalism for master equation and Fokker-Planck equation, we show that a "thermodynamic" theory can also be developed based on Tsallis' generalized entropy S^(q)=∑_i=1^N(p_i-p_i^q)/[q(q-1)] and Shiino's generalized free energy F^(q)=[∑_i=1^Np_i(p_i/π_i)^q-1-1]/[q(q-1)], where π_i is the stationary distribution. dF^(q)/dt=-f_d^(q)≤0 and it is zero if and only if the system is in its st
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