2018/04/16 by Luigi Barletti, Giovanni Frosali, Elisa Giovannini · 3 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Basis (linear algebra) #Detailed balance #Gas Dynamics and Kinetic Theory #Gaussian #Quantum decoherence #Quantum dissipation #Statistical Mechanics and Entropy #Term (time) #Wigner distribution function #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1080/23324309.2018.1520732
published in Journal of Computational and Theoretical Transport 47(1-3), 209-225 (Taylor & Francis)
openalex publication_date 2018/04/16 · openalex created_date 2018/12/22 · arxiv created 2020/05/29 · arxiv updated 2020/06/03 · openalex updated_date 2026/08/05
Starting from the detailed description of the single-collision decoherence mechanism proposed by Adami, Hauray and Negulescu (2016 R. Adami, M. Hauray, C. Negulescu. 2016. Decoherence for a heavy particle interacting with a light particle: new analysis and numerics. Comm. Math. Sci. 14 (5):1373–1415.[Crossref], [Web of Science ®] , [Google Scholar]), we derive a Wigner equation endowed with a decoherence term of a fairly general form. This equation is shown to contain well known decoherence models, such as the Wigner–Fokker–Planck equation, as particular cases. The effect of the decoherence mechanism on the dynamics of the macroscopic moments (density, current, energy) is illustrated by deriving the corresponding set of balance laws. The issue of large-time asymptotics of our model is addressed in the particular, although physically relevant, case of Gaussian solutions. It is shown that the addition of a Caldeira–Legget friction term provides the asymptotic behavior that one expects on the basis of physical considerations.