Series Expansion of the Excess Work Using Nonlinear Response Theory

Autor(es)

Naze, Pierre ^[1] ; Bonanca, Marcus V. S. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Statistical Physics; v. 186, n. 2 FEB 2022.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 18/06365-4 - Otimização do trabalho termodinâmico em sistemas fora do equilíbrio
• Beneficiário: Pierre Marie Antoine Leite Nazé
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 18/21285-7 - Otimização do trabalho termodinâmico com machine learning control
• Beneficiário: Pierre Marie Antoine Leite Nazé
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 20/02170-4 - Processo termodinâmicos ótimos em sistemas fora do equilíbrio
• Beneficiário: Marcus Vinicius Segantini Bonança
• Modalidade de apoio: Auxílio à Pesquisa - Regular