Series Expansion of the Excess Work Using Nonlinear Response Theory

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 i...

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Bibliographic Details
Published in:Journal of statistical physics 2022-02, Vol.186 (2), Article 23
Main Authors: Nazé, Pierre, Bonança, Marcus V. S.
Format: Article
Language:English
Subjects:
Analysis
Laws, regulations and rules
Mathematical and Computational Physics
Nonlinear response
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Series expansion
Statistical Physics and Dynamical Systems
Theoretical
Thermodynamics
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Summary: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-021-02869-0