Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-06-13
Physics
Condensed Matter
Statistical Mechanics
5 pages, 1 figure
Scientific paper
We develop a comparative thermodynamic theory, based on master-equation description of driven chemical reactions, for quasi-steady-state (QSS) and open-system nonequilibrium steady-state (NESS) sustained by chemical potential difference. The two processes have identical kinetics but different thermodynamics: Using motor protein as an example, we find that the difference in heat dissipation is the minimum work that needed for an external energy regenerating system that keeps the NESS e.g., sustains constant concentrations of ATP, ADP and Pi). The entropy production rate in the NESS equals to the rate of decreasing free energy in the QSS of the corresponding closed system. For systems approaching an NESS, the non-negativity of the rate of relative entropy change gives rise to the concept of {\em housekeeping heat}. This theory shows consistency and contradistinctions in thermodynamics of energy transduction and heat dissipation in the two different perspectives of nonequilibrium systems, {\em \`{a} la} Clausius and Kelvin. Furthermore, it suggests new thermodynamic ingredients of self-organization in driven systems.
Ge Hao
Qian Hong
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