2019/12/05 by Chigak Itoi, C. Itoi, M. Amano
Mathematics · Physics and Astronomy · #Adiabatic process #Advanced Thermodynamics and Statistical Mechanics #Bounded function #Classical mechanics #Constant (computer programming) #Coupling (piping) #Energy (signal processing) #First law of thermodynamics #Function (biology) #Laws of thermodynamics #Materials science #Mathematical analysis #Mathematics #Non-equilibrium thermodynamics #Opinion Dynamics and Social Influence #Physics #Quantum many-body systems #Quantum mechanics #Second law of thermodynamics #Thermodynamics #Work (physics) #cond-mat.stat-mech #physics.class-ph
paper · pdf · doi:10.7566/jpsj.89.114003
published as JPSJ, 89, 104001 (2020) · 6 pages. arXiv admin note: text overlap with arXiv:1911.01693
arxiv created 2019/12/05 · openalex publication_date 2020/10/15 · arxiv updated 2020/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A recently proposed quantum mechanical criterion `concavity of energy' for the second law of thermodynamics is studied also for classical particle systems confined in a bounded region by a potential with a time-dependent coupling constant. It is shown that the time average of work done by particles in a quench process cannot exceed that in the corresponding quasi-static process, if the energy is a concave function of the coupling constant. It is proven that the energy is indeed concave for a general confining potential with certain properties. This result implies that the system satisfies the principle of maximum work in the adiabatic environment as an expression of the second law of thermodynamics.