Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing carrier interactions using electron hydrodynamics   Electron hydrodynamics arises when momentum-relaxing scattering processes are
slow compared to momentum-conserving ones. While the microscopic details
necessary to satisfy this condition are material-specific, experimentally
accessible current densities share remarkable similarities. We study the
dependence of electron hydrodynamic flows on the rates of momentum-relaxing and
momentum-conserving scattering processes in a microscopics-agnostic way. We
develop a framework for generating random collision operators which respect
crystal symmetries and conservation laws and which have a tunable ratio between
the momentum-conserving and momentum-relaxing lifetimes. Using various random
instances of these collision operators, we calculate macroscopic electron
viscosity tensors and solve the Boltzmann transport equation (BTE) in a channel
geometry over a grid of momentum-conserving and momentum-relaxing lifetimes,
and for different crystal symmetry groups. We find that different random
collision operators using the same lifetimes produce very similar current
density profiles, meaning that the current density is primarily a probe of the
overall rates of momentum conservation and relaxation. By contrast, the
viscosity tensor varies substantially at fixed lifetimes, meaning that
properties like channel resistance provide detailed probes of the underlying
scattering processes. This suggests that, while details of the scattering
process are imprinted in the electronic viscosity tensor, for many applications
theoretical calculations of hydrodynamic electron flows can use
experimentally-available lifetimes within a spatially-resolved BTE framework
rather than requiring the costly computation of ab initio collision operators.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th