  Warm dense matter (WMD) describes an intermediate phase, between condensed
matter and classical plasmas, found in natural and man-made systems. In a
laboratory setting, WDM needs to be created dynamically. It is typically laser
or pulse-power generated and can be difficult to characterize experimentally.
Measuring the energy loss of high energy ions, caused by a WDM target, is both
a promising diagnostic and of fundamental importance to inertial confinement
fusion research. However, electron coupling, degeneracy, and quantum effects
limit the accuracy of easily calculable kinetic models for stopping power,
while high temperatures make the traditional tools of condensed matter, e.g.
Time-Dependent Density Functional Theory (TD-DFT), often intractable. We have
developed a mixed stochastic-deterministic approach to TD-DFT which provides
more efficient computation while maintaining the required precision for model
discrimination. Recently, this approach showed significant improvement compared
to models when compared to experimental energy loss measurements in WDM carbon.
Here, we describe this approach and demonstrate its application to warm dense
carbon stopping acr
