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Quantum Effects on the Mesoscale

Physical Mechanics Department, St Petersburg University, 7-9 Universitetskaya Emb., 199034 St Petersburg, Russia
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Particles 2020, 3(3), 562-575; https://doi.org/10.3390/particles3030038
Received: 27 June 2020 / Revised: 24 July 2020 / Accepted: 27 July 2020 / Published: 30 July 2020
In different areas of mechanics, highly non-equilibrium processes are accompanied by self-organization of various type turbulent structures and localized inhomogeneities at intermediate scale between macro and micro levels. In order to describe the self-organization of the new dynamic structures on the mesoscale, a new problem formulation based on the results of non-equilibrium statistical mechanics, control theory of adaptive systems, and theory of a special type nonlinear operator sets is proposed. Determination of the turbulent structure parameters through constraints imposed on the system in the form of nonlinear functionals is an inverse problem similar to problems on spectra in quantum mechanics. Like in quantum mechanics, the bounded system in response to impact forms a discrete spectrum of the turbulent structure sizes and lifetimes which goes into continuous spectrum close-to-equilibrium. The proposed description of the structure evolution on the intermediate scale level which is valid far from thermodynamic equilibrium bridges the gap between macroscopic theories and quantum mechanics and affirms the unity of the physical laws of nature. View Full-Text
Keywords: mesoscale; turbulent structure; wave packet; size spectrum; inverse problem; nonlinear functional mesoscale; turbulent structure; wave packet; size spectrum; inverse problem; nonlinear functional
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MDPI and ACS Style

Khantuleva, T.A.; Kats, V.M. Quantum Effects on the Mesoscale. Particles 2020, 3, 562-575. https://doi.org/10.3390/particles3030038

AMA Style

Khantuleva TA, Kats VM. Quantum Effects on the Mesoscale. Particles. 2020; 3(3):562-575. https://doi.org/10.3390/particles3030038

Chicago/Turabian Style

Khantuleva, Tatiana A., and Victor M. Kats. 2020. "Quantum Effects on the Mesoscale" Particles 3, no. 3: 562-575. https://doi.org/10.3390/particles3030038

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