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

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

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arxiv 2410.10492 v2 pith:Q74UX7NJ submitted 2024-10-14 nucl-th

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 This is my paper

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keywords excitationdiffusionrelaxationtimefermiparticle-holesystemapproximation

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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 equation in momentum space. A phenomenological expression for calculating the relaxation time of such an excitation to its equilibrium value has been proposed. It is shown that the relaxation time is dependent on both the excitation energy and the mass number.

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In a constant-coefficient diffusion model of a Fermi system, the early-stage integral relaxation time (≈1.0×10^-23 s) and the asymptotic relaxation time (≈3.2×10^-23 s) differ because relaxation is not exponential at ...