Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6931495 | Journal of Computational Physics | 2015 | 14 Pages |
Abstract
We develop an efficient algorithm for a spatially inhomogeneous matrix-valued quantum Boltzmann equation derived from the Hubbard model. The distribution functions are 2Ã2 matrix-valued to accommodate the spin degree of freedom, and the scalar quantum Boltzmann equation is recovered as a special case when all matrices are proportional to the identity. We use Fourier discretization and fast Fourier transform to efficiently evaluate the collision kernel with spectral accuracy, and numerically investigate periodic, Dirichlet and Maxwell boundary conditions. Model simulations quantify the convergence to local and global thermal equilibrium.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Jianfeng Lu, Christian B. Mendl,