Microscopic Work Distribution of Small System in Quantum Isothermal Process

Details Microscopic Work Distribution of Small System in Quantum Isothermal Process Microscopic Work Distribution of Small System in Quantum Isothermal Process

2008-04-08

arxiv.org/abs/0804.1312v2

Phys. Rev. E 78, 021116 (2008)

Physics

Condensed Matter

Statistical Mechanics

LAUR 08-2152, 5 pages, 2 figures

Scientific paper

10.1103/PhysRevE.78.021116

For a two-level quantum mechanical system, we derive microscopically the exact expression for the fluctuation of microscopic work in a multi-step non-equilibrium process, and we rigorously prove that in an isothermal process, the fluctuation is vanishingly small, and the most probabilistic work just equals to the difference of the free energy. Our study demonstrates that the convergence of the microscopic work in the isothermal process is due to the nature of isothermal process rather than usual thermodynamic limit condition. Our investigation justifies the validity of "minimum work principle" formulation of the second law even for a small system far from thermodynamic limit.

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