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arXiv · 2110.07325

Series expansion of the excess work using nonlinear response theory

Pierre Nazé·Marcus V. S. Bonança
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Abstract

The calculation of observable averages in non-equilibrium regimes is one of the most important problems in statistical physics. Using the Hamiltonian approach of nonlinear response theory, we obtain a series expansion of the average excess work and illustrate it with specific examples of thermally isolated systems. We report the emergence of non-vanishing contributions for large switching times when the system is subjected to strong driving. The problem is solved by using an adapted multiple-scale method to suppress these secular terms. Our paradigmatic examples show how the method is implemented generating a truncated series that obeys the Second Law of Thermodynamics.

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Pierre Nazé, Marcus V. S. Bonança. 2021-10-14. Series expansion of the excess work using nonlinear response theory. https://doi.org/10.1007/s10955-021-02869-0

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