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20062026
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nucl-th2026

Dissipative properties of a Fermi system within the diffusion approximation of kinetic theory

Sergiy V. Lukyanov

The dissipative properties of a Fermi system are studied within the diffusion approximation of kinetic theory for a model of a spherical atomic nucleus. An analytical solution of t…

nucl-th2026

Equilibrium state of a Fermi system in the diffusion approximation of kinetic theory

Sergiy V. Lukyanov

A consistent transformation from momentum space to energy space is performed for the diffusion equation within kinetic theory, with particle-number conservation explicitly preserve…

nucl-th2025

Relaxation of a single-particle excitation in a Fermi system within the diffusion approximation of kinetic theory

Sergiy V. Lukyanov

The time evolution of the Wigner distribution function for a single-particle excitation in a Fermi system was studied within the framework of the diffusion approximation of kinetic…

nucl-th2024

Relaxation of particle-hole type excitation in a Fermi system within the diffusion approximation of kinetic theory for the case of constant diffusion and drift coefficients

Sergiy V. Lukyanov

The time evolution of the distribution function for a particle-hole excitation in a Fermi system was calculated using the direct numerical solution of a nonlinear diffusion equatio…

nucl-th2022

Properties of the diffusion and drift kinetic coefficients in momentum space for a cold Fermi system

Sergiy V. Lukyanov

Using the methods of kinetic theory expressions for the diffusion and drift coefficients for a cold Fermi system are obtained. Their dependences on the momentum are calculated for…

nucl-th2006

Small damping approach in Fermi-liquid theory

V. M. Kolomietz, S. V. Lukyanov, S. Shlomo

The validity of small damping approximation (SDA) for the quasi-classical description of the averaged properties of nuclei at high temperatures is studied within the framework of c…