# Path Integral Monte Carlo Simulations of Warm Dense Matter and Plasmas

## Abstract

New path integral Monte Carlo simulation (PIMC) techniques will be developed and applied to derive the equation of state (EOS) for the regime of warm dense matter and dense plasmas where existing first-principles methods cannot be applied. While standard density functional theory has been used to accurately predict the structure of many solids and liquids up to temperatures on the order of 10,000 K, this method is not applicable at much higher temperature where electronic excitations become important because the number of partially occupied electronic orbitals reaches intractably large numbers and, more importantly, the use of zero-temperature exchange-correlation functionals introduces an uncontrolled approximation. Here we focus on PIMC methods that become more and more efficient with increasing temperatures and still include all electronic correlation effects. In this approach, electronic excitations increase the efficiency rather than reduce it. While it has commonly been assumed such methods can only be applied to elements without core electrons like hydrogen and helium, we recently showed how to extend PIMC to heavier elements by performing the first PIMC simulations of carbon and water plasmas [Driver, Militzer, Phys. Rev. Lett. 108 (2012) 115502]. Here we propose to continue this important development to extend the reach ofmore »

- Authors:

- Univ. of California, Berkeley, CA (United States)

- Publication Date:

- Research Org.:
- The Regents of the University of California

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- OSTI Identifier:
- 1416870

- Report Number(s):
- DOE-UCB-SC0010517-1

- DOE Contract Number:
- SC0010517

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; First-principle simulations, warm dense matter, path integral Monte Carlo, equation of state

### Citation Formats

```
Militzer, Burkhard.
```*Path Integral Monte Carlo Simulations of Warm Dense Matter and Plasmas*. United States: N. p., 2018.
Web. doi:10.2172/1416870.

```
Militzer, Burkhard.
```*Path Integral Monte Carlo Simulations of Warm Dense Matter and Plasmas*. United States. doi:10.2172/1416870.

```
Militzer, Burkhard. Sat .
"Path Integral Monte Carlo Simulations of Warm Dense Matter and Plasmas". United States. doi:10.2172/1416870. https://www.osti.gov/servlets/purl/1416870.
```

```
@article{osti_1416870,
```

title = {Path Integral Monte Carlo Simulations of Warm Dense Matter and Plasmas},

author = {Militzer, Burkhard},

abstractNote = {New path integral Monte Carlo simulation (PIMC) techniques will be developed and applied to derive the equation of state (EOS) for the regime of warm dense matter and dense plasmas where existing first-principles methods cannot be applied. While standard density functional theory has been used to accurately predict the structure of many solids and liquids up to temperatures on the order of 10,000 K, this method is not applicable at much higher temperature where electronic excitations become important because the number of partially occupied electronic orbitals reaches intractably large numbers and, more importantly, the use of zero-temperature exchange-correlation functionals introduces an uncontrolled approximation. Here we focus on PIMC methods that become more and more efficient with increasing temperatures and still include all electronic correlation effects. In this approach, electronic excitations increase the efficiency rather than reduce it. While it has commonly been assumed such methods can only be applied to elements without core electrons like hydrogen and helium, we recently showed how to extend PIMC to heavier elements by performing the first PIMC simulations of carbon and water plasmas [Driver, Militzer, Phys. Rev. Lett. 108 (2012) 115502]. Here we propose to continue this important development to extend the reach of PIMC simulations to yet heavier elements and also lower temperatures. The goal is to provide a robust first-principles simulation method that can accurately and efficiently study materials with excited electrons at solid-state densities in order to access parts of the phase diagram such the regime of warm dense matter and plasmas where so far only more approximate, semi-analytical methods could be applied.},

doi = {10.2172/1416870},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2018},

month = {1}

}