### A semi-analytic model of magnetized liner inertial fusion

Presented is a semi-analytic model of magnetized liner inertial fusion (MagLIF). This model accounts for several key aspects of MagLIF, including: (1) preheat of the fuel (optionally via laser absorption); (2) pulsed-power-driven liner implosion; (3) liner compressibility with an analytic equation of state, artificial viscosity, internal magnetic pressure, and ohmic heating; (4) adiabatic compression and heating of the fuel; (5) radiative losses and fuel opacity; (6) magnetic flux compression with Nernst thermoelectric losses; (7) magnetized electron and ion thermal conduction losses; (8) end losses; (9) enhanced losses due to prescribed dopant concentrations and contaminant mix; (10) deuterium-deuterium and deuterium-tritium primary fusion reactions for arbitrary deuterium to tritium fuel ratios; and (11) magnetized α-particle fuel heating. We show that this simplified model, with its transparent and accessible physics, can be used to reproduce the general 1D behavior presented throughout the original MagLIF paper [S. A. Slutz

*et al*., Phys. Plasmas**17**, 056303 (2010)]. We also discuss some important physics insights gained as a result of developing this model, such as the dependence of radiative loss rates on the radial fraction of the fuel that is preheated.- Publication Date:

- Report Number(s):
- SAND-2015-20817J

Journal ID: ISSN 1070-664X; PHPAEN

- Grant/Contract Number:
- AC04-94AL85000

- Type:
- Published Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 5; Journal ID: ISSN 1070-664X

- Publisher:
- American Institute of Physics (AIP)

- Research Org:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Sponsoring Org:
- USDOE National Nuclear Security Administration (NNSA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; magnetic fields; thermal conduction; ionization; laser heating; fusion fuels; magnetized liner inertial fusion; MagLIF; Z machine; Z accelerator; Z300; Z800; Z beamlet laser; ZBL; pulsed power; fusion; z-pinch; inertial confinement fusion; ICF; magneto-inertial fusion; MIF

- OSTI Identifier:
- 1182457

- Alternate Identifier(s):
- OSTI ID: 1214586; OSTI ID: 1237359

```
McBride, Ryan D., and Slutz, Stephen A..
```*A semi-analytic model of magnetized liner inertial fusion*. United States: N. p.,
Web. doi:10.1063/1.4918953.

```
McBride, Ryan D., & Slutz, Stephen A..
```*A semi-analytic model of magnetized liner inertial fusion*. United States. doi:10.1063/1.4918953.

```
McBride, Ryan D., and Slutz, Stephen A.. 2015.
"A semi-analytic model of magnetized liner inertial fusion". United States.
doi:10.1063/1.4918953.
```

```
@article{osti_1182457,
```

title = {A semi-analytic model of magnetized liner inertial fusion},

author = {McBride, Ryan D. and Slutz, Stephen A.},

abstractNote = {Presented is a semi-analytic model of magnetized liner inertial fusion (MagLIF). This model accounts for several key aspects of MagLIF, including: (1) preheat of the fuel (optionally via laser absorption); (2) pulsed-power-driven liner implosion; (3) liner compressibility with an analytic equation of state, artificial viscosity, internal magnetic pressure, and ohmic heating; (4) adiabatic compression and heating of the fuel; (5) radiative losses and fuel opacity; (6) magnetic flux compression with Nernst thermoelectric losses; (7) magnetized electron and ion thermal conduction losses; (8) end losses; (9) enhanced losses due to prescribed dopant concentrations and contaminant mix; (10) deuterium-deuterium and deuterium-tritium primary fusion reactions for arbitrary deuterium to tritium fuel ratios; and (11) magnetized α-particle fuel heating. We show that this simplified model, with its transparent and accessible physics, can be used to reproduce the general 1D behavior presented throughout the original MagLIF paper [S. A. Slutz et al., Phys. Plasmas 17, 056303 (2010)]. We also discuss some important physics insights gained as a result of developing this model, such as the dependence of radiative loss rates on the radial fraction of the fuel that is preheated.},

doi = {10.1063/1.4918953},

journal = {Physics of Plasmas},

number = 5,

volume = 22,

place = {United States},

year = {2015},

month = {5}

}