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We suggest the diffuse approach to the relaxation processes within the kinetic theory for the Wigner distribution function. The diffusion and drift coefficients are evaluated taking into consideration the interparticle collisions on the…

Nuclear Theory · Physics 2015-04-02 V. M. Kolomietz , S. 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 equation in momentum space. A phenomenological expression for…

Nuclear Theory · Physics 2025-02-13 Sergiy V. Lukyanov

The diffusion approximation to the relaxation on the distorted Fermi surface in a Fermi liquid is considered. The dependence of the relaxation time on the multipolarity of a Fermi surface deformation is established. The time evolution of…

Nuclear Theory · Physics 2014-09-05 V. M. Kolomietz , S. 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 theory by numerically solving a nonlinear diffusion…

Nuclear Theory · Physics 2026-03-12 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 the step distribution function as well as in the case of…

Nuclear Theory · Physics 2023-04-19 Sergiy V. Lukyanov

The viscous relaxation time of a trapped two-component gas of fermions in its normal phase is calculated as a function of temperature and scattering length, with the collision probability being determined by an energy-dependent s-wave cross…

Statistical Mechanics · Physics 2009-02-05 P. Massignan , G. M. Bruun , H. Smith

The retardation and temperature effects in two-body collisions are studied. The collision integral with retardation effects is obtained on the base of the Kadanoff- Baym equations for Green functions in a form with allowance for reaching…

Nuclear Theory · Physics 2007-05-23 V. A. Plujko , O. M. Gorbachenko , M. O. Kavatsyuk

We propose a relaxation time approximation for the description of the dynamics of strongly excited fermion systems. Our approach is based on time-dependent density functional theory at the level of the local density approximation. This…

Atomic and Molecular Clusters · Physics 2016-01-26 P. -G. Reinhard , E. Suraud

The effect of diffusional relaxation on the random sequential deposition process is studied in the limit of fast deposition. Expression for the coverage as a function of time are analytically derived for both the short-time and long-time…

Statistical Mechanics · Physics 2009-10-28 Eli Eisenberg , Asher Baram

We present a systematic theory of dissipation in finite Fermi systems like nuclei and metallic clusters. This theory is based on the application of semiclassical methods and random matrix theory to linear response of many-body systems. The…

Nuclear Theory · Physics 2009-10-31 Sudhir R. Jain

The key feature of time-dependent dynamics in a paired Fermi superfluid is the presence of a large number of independent degrees of freedom---the pairing amplitudes of fermions with different momenta. We argue that useful prototypes of this…

High Energy Physics - Theory · Physics 2014-06-09 S. Khlebnikov

We examine spin diffusion in a two-component homogeneous Fermi gas in the normal phase. Using a variational approach, analytical results are presented for the spin diffusion coefficient and the related spin relaxation time as a function of…

Quantum Gases · Physics 2011-03-18 G. M. Bruun

Using kinetic theory, we calculate the shear viscosity and the spin diffusion coefficient as well as the associated relaxation times for a two-component Fermi gas in two dimensions, as a function of temperature, coupling strength,…

Quantum Gases · Physics 2012-01-30 G. M. Bruun

We compute the complete set of second order transport coefficients of the unitary Fermi gas, a dilute gas of spin 1/2 particles interacting via an $s$-wave interaction tuned to infinite scattering length. The calculation is based on kinetic…

Quantum Gases · Physics 2025-09-24 Christian Hall , Thomas Schaefer

The nonexponential relaxation ocurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in…

Statistical Mechanics · Physics 2009-11-10 A. Perez-Madrid

The relation between relaxation and diffusion is investigated in a Hamiltonian system of globally coupled rotators. Diffusion is anomalous if and only if the system is going towards equilibrium. The anomaly in diffusion is not anomalous…

Chaotic Dynamics · Physics 2007-05-23 Yamaguchi Y. Yoshiyuki

We consider two-dimensional spin-polarized dipolar Fermi gases confined in a double-layer system and calculate the momentum transfer between the layers as a function of temperature to investigate the transport properties of the system. We…

Quantum Gases · Physics 2024-06-14 B. Renklioglu , Ben Yu-Kuang Hu , M. O. Oktel , B. Tanatar

A finite-time fluctuation theorem is proved for the diffusion-influenced surface reaction A<->B in a domain with any geometry where the species A and B undergo diffusive transport between the reservoir and the catalytic surface. A…

Statistical Mechanics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

The thermal transport properties of a two dimensional Fermi gas are explored, for the full range of temperatures and densities. The heat flux is established by solving the Uehling-Uhlebeck equation using a relaxation approximation given by…

Statistical Mechanics · Physics 2020-01-29 A. R. Méndez , A. L. García-Perciante , G. Chacón-Acosta

We develop a new fast-diffusion approximation for the kinetics of deposition of extended objects on a linear substrate, accompanied by diffusional relaxation. This new approximation plays the role of the mean-field theory for such processes…

Condensed Matter · Physics 2010-10-12 Vladimir Privman , Mustansir Barma
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