Agradecimentos: P. N. gratefully thank Otavio L. Canton for the presentation which suggested the key to solve this problem. This work was financially supported for FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) (Brazil) (Grants No. 2018/06365-4, No. 2018/21285-7 and No. 2020/02170-4)...

Agradecimentos: P. N. gratefully thank Otavio L. Canton for the presentation which suggested the key to solve this problem. This work was financially supported for FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) (Brazil) (Grants No. 2018/06365-4, No. 2018/21285-7 and No. 2020/02170-4) and for CNPq (Conselho Nacional de Desenvolvimento Científico e Pesquisa) (Brazil) (Grant No. 141018/2017-8)

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...

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 supress these secular terms. Our paradigmatic examples show how the method is implemented generating a truncated series that obeys the Second Law of Thermodynamics

FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP

2018/06365-4; 2018/21285-7; 2020/02170-4

CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ

141018/2017-8

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