Investigation of resistive magnetic field generation by intense proton beams in dense plasmas

Bhutwala, K.; Kim, J.; McGuffey, C.; Sherlock, M.; Bailly-Grandvaux, M.; Beg, F. N.

doi:10.1063/5.0115717

Title: Investigation of resistive magnetic field generation by intense proton beams in dense plasmas

Journal Article · Wed Nov 16 00:00:00 EST 2022 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0115717· OSTI ID:2203628

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University of California San Diego, La Jolla, CA (United States)
University of California San Diego, La Jolla, CA (United States); General Atomics, San Diego, CA (United States)
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Current and future applications of intense proton sources abound, including radiography, cancer therapy, warm dense matter generation, and inertial confinement fusion. With increasingly efficient acceleration and focusing mechanisms, proton current densities may soon approach and exceed 10¹⁰ A/cm², e.g., via intense laser drivers. Simulations have previously shown that in this current density regime, beam-induced field generation plays a significant role in beam transport through dense plasmas. Here, we present a theoretical model for the generation of resistive magnetic fields by intense proton beam transport through solid density plasmas. The theoretical evolution of the magnetic field profile is calculated using an analytic model for aluminum resistivity, heat capacity, and stopping power, applicable from cold matter to hot plasma. The effects of various beam and material parameters on the field are investigated and explained for both monoenergetic and Maxwellian proton beams. For a proton beam with Maxwellian temperature 5 MeV and total energy 10 J, the model calculates resistive magnetic fields up to 150 T in aluminum. In conclusion, the calculated field profiles from several beam cases are compared with 2D hybrid particle-in-cell simulations, with good agreement found in magnitude and time scale.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344; NA0003876

OSTI ID:: 2203628

Alternate ID(s):: OSTI ID: 1898469

Report Number(s):: LLNL-JRNL-856218; 1052082

Journal Information:: Physics of Plasmas, Vol. 29, Issue 11; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (44)

Observation of Return Current Effects in a Passive Plasma Lens Govil, R.; Leemans, W. P.; Backhaus, E. Yu. Physical Review Letters, Vol. 83, Issue 16 https://doi.org/10.1103/PhysRevLett.83.3202	journal	October 1999
The development of laser- and beam-driven plasma accelerators as an experimental field Joshi, C. Physics of Plasmas, Vol. 14, Issue 5 https://doi.org/10.1063/1.2721965	journal	May 2007
High flux, beamed neutron sources employing deuteron-rich ion beams from D ₂ O-ice layered targets Alejo, A.; Krygier, A. G.; Ahmed, H. Plasma Physics and Controlled Fusion, Vol. 59, Issue 6 https://doi.org/10.1088/1361-6587/aa684a	journal	April 2017
Fast Ignition by Intense Laser-Accelerated Proton Beams Roth, M.; Cowan, T. E.; Key, M. H. Physical Review Letters, Vol. 86, Issue 3, p. 436-439 https://doi.org/10.1103/PhysRevLett.86.436	journal	January 2001
Fast ignition with laser-driven proton and ion beams Fernández, J. C.; Albright, B. J.; Beg, F. N. Nuclear Fusion, Vol. 54, Issue 5 https://doi.org/10.1088/0029-5515/54/5/054006	journal	April 2014
Collective focusing of intense ion beam pulses for high-energy density physics applications Dorf, Mikhail A.; Kaganovich, Igor D.; Startsev, Edward A. Physics of Plasmas, Vol. 18, Issue 3 https://doi.org/10.1063/1.3557894	journal	March 2011
Physics of neutralization of intense high-energy ion beam pulses by electrons Kaganovich, I. D.; Davidson, R. C.; Dorf, M. A. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3335766	journal	May 2010
Focussing Protons from a Kilojoule Laser for Intense Beam Heating using Proximal Target Structures McGuffey, C.; Kim, J.; Wei, M. S. Scientific Reports, Vol. 10, Issue 1 https://doi.org/10.1038/s41598-020-65554-4	journal	June 2020
Transport of an intense proton beam from a cone-structured target through plastic foam with unique proton source modeling Bhutwala, K.; McGuffey, C.; Theobald, W. Physical Review E, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevE.105.055206	journal	May 2022
Thermal conductivity measurements of proton-heated warm dense aluminum McKelvey, A.; Kemp, G. E.; Sterne, P. A. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-07173-0	journal	August 2017
X-ray absorption for the study of warm dense matter Lévy, A.; Dorchies, F.; Harmand, M. Plasma Physics and Controlled Fusion, Vol. 51, Issue 12 https://doi.org/10.1088/0741-3335/51/12/124021	journal	November 2009
Varying stopping and self-focusing of intense proton beams as they heat solid density matter Kim, J.; McGuffey, C.; Qiao, B. Physics of Plasmas, Vol. 23, Issue 4 https://doi.org/10.1063/1.4945617	journal	April 2016
Particle-in-cell simulation of transport and energy deposition of intense proton beams in solid-state materials Wu, D.; Yu, W.; Zhao, Y. T. Physical Review E, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevE.100.013208	journal	July 2019
Fast-electron transport in high-intensity short-pulse laser - solid experiments Bell, A. R.; Davies, J. R.; Guerin, S. Plasma Physics and Controlled Fusion, Vol. 39, Issue 5 https://doi.org/10.1088/0741-3335/39/5/001	journal	May 1997
Theory of fast electron transport for fast ignition Robinson, A. P. L.; Strozzi, D. J.; Davies, J. R. Nuclear Fusion, Vol. 54, Issue 5 https://doi.org/10.1088/0029-5515/54/5/054003	journal	April 2014
Fast electron energy transport in solid density and compressed plasma Norreys, P.; Batani, D.; Baton, S. Nuclear Fusion, Vol. 54, Issue 5 https://doi.org/10.1088/0029-5515/54/5/054004	journal	April 2014
Magnetic collimation of fast electrons produced by ultraintense laser irradiation by structuring the target composition Robinson, A. P. L.; Sherlock, M. Physics of Plasmas, Vol. 14, Issue 8 https://doi.org/10.1063/1.2768317	journal	August 2007
Scaling of resistive guiding of laser-driven fast-electron currents in solid targets Leblanc, P.; Sentoku, Y. Physical Review E, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevE.89.023109	journal	February 2014
Effect of Target Material on Fast-Electron Transport and Resistive Collimation Chawla, S.; Wei, M. S.; Mishra, R. Physical Review Letters, Vol. 110, Issue 2 https://doi.org/10.1103/PhysRevLett.110.025001	journal	January 2013
Transport of kJ-laser-driven relativistic electron beams in cold and shock-heated vitreous carbon and diamond Bailly-Grandvaux, M.; Kim, J.; Krauland, C. M. New Journal of Physics, Vol. 22, Issue 3 https://doi.org/10.1088/1367-2630/ab7a06	journal	March 2020
Electric and magnetic field generation and target heating by laser-generated fast electrons Davies, J. R. Physical Review E, Vol. 68, Issue 5 https://doi.org/10.1103/PhysRevE.68.056404	journal	November 2003
Target heating in femtosecond laser–plasma interactions: Quantitative analysis of experimental data Nardi, Eran; Zinamon, Zeev; Stambulchik, Evgeny Physics of Plasmas, Vol. 28, Issue 2 https://doi.org/10.1063/5.0035356	journal	February 2021
Charge separation effects in solid targets and ion acceleration with a two-temperature electron distribution Passoni, M.; Tikhonchuk, V. T.; Lontano, M. Physical Review E, Vol. 69, Issue 2 https://doi.org/10.1103/PhysRevE.69.026411	journal	February 2004
Heating model for metals irradiated by a subpicosecond laser pulse Chimier, B.; Tikhonchuk, V. T.; Hallo, L. Physical Review B, Vol. 75, Issue 19 https://doi.org/10.1103/PhysRevB.75.195124	journal	May 2007
Time resolved evolution of structural, electrical, and thermal properties of copper irradiated by an intense ultrashort laser pulse Sandhu, Arvinder S.; Dharmadhikari, A. K.; Kumar, G. Ravindra Journal of Applied Physics, Vol. 97, Issue 2 https://doi.org/10.1063/1.1834726	journal	January 2005
Resistivity of a Simple Metal from Room Temperature to $10^{6}$ K Milchberg, H. M.; Freeman, R. R.; Davey, S. C. Physical Review Letters, Vol. 61, Issue 20 https://doi.org/10.1103/PhysRevLett.61.2364	journal	November 1988
Resistivity saturation in warm dense matter Faussurier, Gérald; Blancard, Christophe Physical Review E, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevE.91.013105	journal	January 2015
Consistent approach for electrical resistivity within Ziman's theory from solid state to hot dense plasma: Application to aluminum Wetta, Nadine; Pain, Jean-Christophe Physical Review E, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevE.102.053209	journal	November 2020
Electrical Resistivity and Thermal Conductivity of Pure Aluminum and Aluminum Alloys up to and above the Melting Temperature Brandt, R.; Neuer, G. International Journal of Thermophysics, Vol. 28, Issue 5 https://doi.org/10.1007/s10765-006-0144-0	journal	January 2007
Electrical Resistivity of Aluminum and Manganese Desai, P. D.; James, H. M.; Ho, C. Y. Journal of Physical and Chemical Reference Data, Vol. 13, Issue 4 https://doi.org/10.1063/1.555725	journal	October 1984
Thermophysical properties of liquid copper and aluminum Gathers, G. R. International Journal of Thermophysics, Vol. 4, Issue 3 https://doi.org/10.1007/BF00502353	journal	September 1983
An electron conductivity model for dense plasmas Lee, Y. T.; More, R. M. Physics of Fluids, Vol. 27, Issue 5 https://doi.org/10.1063/1.864744	journal	January 1984
Integrated simulation of the generation and transport of proton beams from laser-target interaction Welch, D. R.; Rose, D. V.; Cuneo, M. E. Physics of Plasmas, Vol. 13, Issue 6 https://doi.org/10.1063/1.2207587	journal	June 2006
Electron-phonon coupling and electron heat capacity of metals under conditions of strong electron-phonon nonequilibrium Lin, Zhibin; Zhigilei, Leonid V.; Celli, Vittorio Physical Review B, Vol. 77, Issue 7 https://doi.org/10.1103/PhysRevB.77.075133	journal	February 2008
Self-Consistent Simulation of Transport and Energy Deposition of Intense Laser-Accelerated Proton Beams in Solid-Density Matter Kim, J.; Qiao, B.; McGuffey, C. Physical Review Letters, Vol. 115, Issue 5 https://doi.org/10.1103/PhysRevLett.115.054801	journal	July 2015
Bremsformel f�r Elektronen relativistischer Geschwindigkeit Bethe, H. Zeitschrift f�r Physik, Vol. 76, Issue 5-6 https://doi.org/10.1007/BF01342532	journal	May 1932
Bremsverm�gen von Atomen mit mehreren Elektronen Bloch, F. Zeitschrift f�r Physik, Vol. 81, Issue 5-6 https://doi.org/10.1007/BF01344553	journal	May 1933
Stopping of energetic light ions in elemental matter Ziegler, J. F. Journal of Applied Physics, Vol. 85, Issue 3 https://doi.org/10.1063/1.369844	journal	February 1999
A finite material temperature model for ion energy deposition in ion‐driven inertial confinement fusion targets Mehlhorn, Thomas A. Journal of Applied Physics, Vol. 52, Issue 11 https://doi.org/10.1063/1.328602	journal	November 1981
Isochoric Heating of Solid-Density Matter with an Ultrafast Proton Beam Patel, P.; Mackinnon, A.; Key, M. Physical Review Letters, Vol. 91, Issue 12 https://doi.org/10.1103/PhysRevLett.91.125004	journal	September 2003
Energetic proton generation in ultra-intense laser–solid interactions Wilks, S. C.; Langdon, A. B.; Cowan, T. E. Physics of Plasmas, Vol. 8, Issue 2, p. 542-549 https://doi.org/10.1063/1.1333697	journal	February 2001
Numerical study of fast ignition of ablatively imploded deuterium–tritium fusion capsules by ultra-intense proton beams Temporal, M.; Honrubia, J. J.; Atzeni, S. Physics of Plasmas, Vol. 9, Issue 7 https://doi.org/10.1063/1.1482375	journal	July 2002
Effect of rear surface fields on hot, refluxing and escaping electron populations via numerical simulations Rusby, D. R.; Armstrong, C. D.; Scott, G. G. High Power Laser Science and Engineering, Vol. 7 https://doi.org/10.1017/hpl.2019.34	journal	January 2019
Observation of a high degree of stopping for laser-accelerated intense proton beams in dense ionized matter Ren, Jieru; Deng, Zhigang; Qi, Wei Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-18986-5	journal	October 2020

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Title: Investigation of resistive magnetic field generation by intense proton beams in dense plasmas

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