TY - JOUR

T1 - Quantum Effects on the Mesoscale

AU - Khantuleva, Tatiana A.

AU - Kats, Victor M.

N1 - Khantuleva, T.A.; Kats, V.M. Quantum Effects on the Mesoscale. Particles 2020, 3, 562-575.

PY - 2020/7/27

Y1 - 2020/7/27

N2 - In different areas of mechanics, highly non-equilibrium processes are accompanied byself-organization of various type turbulent structures and localized inhomogeneities at intermediatescale between macro and micro levels. In order to describe the self-organization of the new dynamicstructures on the mesoscale, a new problem formulation based on the results of non-equilibriumstatistical mechanics, control theory of adaptive systems, and theory of a special type nonlinearoperator sets is proposed. Determination of the turbulent structure parameters through constraintsimposed on the system in the form of nonlinear functionals is an inverse problem similar to problemson spectra in quantum mechanics. Like in quantum mechanics, the bounded system in responseto impact forms a discrete spectrum of the turbulent structure sizes and lifetimes which goes intocontinuous spectrum close-to-equilibrium. The proposed description of the structure evolution on theintermediate scale level which is valid far from thermodynamic equilibrium bridges the gap betweenmacroscopic theories and quantum mechanics and affirms the unity of the physical laws of nature.

AB - In different areas of mechanics, highly non-equilibrium processes are accompanied byself-organization of various type turbulent structures and localized inhomogeneities at intermediatescale between macro and micro levels. In order to describe the self-organization of the new dynamicstructures on the mesoscale, a new problem formulation based on the results of non-equilibriumstatistical mechanics, control theory of adaptive systems, and theory of a special type nonlinearoperator sets is proposed. Determination of the turbulent structure parameters through constraintsimposed on the system in the form of nonlinear functionals is an inverse problem similar to problemson spectra in quantum mechanics. Like in quantum mechanics, the bounded system in responseto impact forms a discrete spectrum of the turbulent structure sizes and lifetimes which goes intocontinuous spectrum close-to-equilibrium. The proposed description of the structure evolution on theintermediate scale level which is valid far from thermodynamic equilibrium bridges the gap betweenmacroscopic theories and quantum mechanics and affirms the unity of the physical laws of nature.

KW - mesoscale, turbulent structure, wave packet, size spectrum, inverse problem, nonlinear functional

UR - https://www.mdpi.com/2571-712X/3/3/38

M3 - Article

VL - 3

SP - 562

EP - 575

JO - Particles

JF - Particles

SN - 2571-712X

IS - 3

ER -