Nonlocal corrections to the Boltzmann equation for dense Fermi systems

نویسندگان

  • Václav Špička
  • Pavel Lipavský
  • Klaus Morawetz
چکیده

A kinetic equation which combines the quasiparticle drift of Landau’s equation with a dissipation governed by a nonlocal and noninstant scattering integral in the spirit of Snider’s equation for gases is derived. Consequent balance equations for the density, momentum and energy include quasiparticle contributions and the second order quantum virial corrections. The medium effects on binary collisions are shown to mediate the latent heat, i.e., an energy conversion between correlation and thermal energy. An implementation to heavy ion collisions is discussed.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quantum Corrections to Semiclassical Transport in Nanoscale Devices using Entropy Principles

We derive a modification of the semiclassical Fermi Golden Rule collision operator based on quantum thermodynamic principles. The resulting operator is nonlocal in space and acknowledges the presence of steep potential gradients and potential barriers. The resulting quantum mechanical transport equation the Wigner quantum Boltzmann equation increases the corresponding quantum mechanical entropy...

متن کامل

Moderately dense gas quantum kinetic theory: Transport coefficient expressions

Expressions for the transport coefficients of a moderately dense gas are obtained, based on a recently derived density corrected quantum Boltzmann equation. Linearization of the equations determining the pair correlation and the ‘‘free’’ singlet density operators about local equilibrium is discussed first. The rate of change of the pair correlations is treated as dynamic effects for pairs of pa...

متن کامل

Non-local kinetic simulation of heavy ion collisions

The numerical solutions of nonlocal and local Boltzmann kinetic equations for the simulation of peripheral and central heavy ion reactions are compared. The experimental finding of enhancement of mid-rapidity matter shows the necessity to include nonlocal corrections. While the in–medium cross section changes the number of collisions and not the transferred energy, the nonlocal scenario changes...

متن کامل

Analysis of a Nonlocal Poisson-Boltzmann Equation

A nonlinear, nonlocal dielectric continuum model, called the nonlocal modified PoissonBoltzmann equation (NMPBE), has been proposed to reflect the spatial-frequency dependence of dielectric permittivity in the calculation of electrostatics of ionic-solvated biomolecules. However, its analysis is difficult due to its definition involving Dirac delta distributions for modeling point charges, expo...

متن کامل

Quantum Boltzmann equation study for the Kondo breakdown quantum critical point.

We develop the quantum Boltzmann equation approach for the Kondo breakdown quantum critical point, involved with two bands for conduction electrons and localized fermions. Particularly, the role of vertex corrections in transport is addressed, crucial for non-Fermi liquid transport with temperature linear dependence. Only one band of spinons may be considered for scattering with gauge fluctuati...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998