# A semi-analytic model of magnetized liner inertial fusion

## Abstract

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.

- Authors:

- Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States)

- Publication Date:

- OSTI Identifier:
- 22410324

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 5; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COMPRESSION; DEUTERIUM; ELECTRIC HEATING; ELECTRONS; END EFFECTS; EQUATIONS OF STATE; IMPLOSIONS; INERTIAL CONFINEMENT; INERTIAL FUSION DRIVERS; MAGNETIC FIELDS; MAGNETIC FLUX; THERMAL CONDUCTION; THERMONUCLEAR FUELS; THERMONUCLEAR REACTIONS; TRITIUM

### Citation Formats

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

```
@article{osti_22410324,
```

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},

issn = {1070-664X},

number = 5,

volume = 22,

place = {United States},

year = {2015},

month = {5}

}