{"title":"On the computation of moments in the Super-Transition-Arrays model for radiative opacity calculations","authors":"Jean-Christophe Pain , Brian G. Wilson","doi":"10.1016/j.hedp.2024.101104","DOIUrl":"10.1016/j.hedp.2024.101104","url":null,"abstract":"<div><p>In the Super-Transition-Array statistical method for the computation of radiative opacity of hot dense matter, the moments of the absorption or emission features involve partition functions with reduced degeneracies, occurring through the calculation of averages of products of subshell populations. In the present work, we discuss several aspects of the computation of such peculiar partition functions, insisting on the precautions that must be taken in order to avoid numerical difficulties. In a previous work, we derived a formula for supershell partition functions, which takes the form of a functional of the distribution of energies within the supershell and allows for fast and accurate computations, truncating the number of terms in the expansion. The latter involves coefficients for which we obtained a recursion relation and an explicit formula. We show that such an expansion can be combined with the recurrence relation for shifted partition functions. We also propose, neglecting the effect of fine structure as a first step, a positive-definite formula for the Super-Transition-Array moments of any order, providing an insight into the asymmetry and sharpness of the latter. The corresponding formulas are free of alternating sums. Several ways to speed up the calculations are also presented.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101104"},"PeriodicalIF":1.6,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140930863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Configuration entropy and thermodynamics phase transition of black hole in f(R) gravity","authors":"Shad Ali","doi":"10.1016/j.hedp.2024.101105","DOIUrl":"https://doi.org/10.1016/j.hedp.2024.101105","url":null,"abstract":"<div><p>Starting from a d<span><math><mo>−</mo></math></span>dimensional black hole (BH) in <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity, we analyzed the effect of modified gravity on critical point parameters, the difference in number densities, and configuration entropy during the BH phase transition phenomenon. From our investigations, consistent results with charged AdS BH are obtained that is holographic dual of van der Waal’s fluid and hence the BH in modified gravity. The thermodynamic pressure, temperature, and free energy are affected by <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity. The difference in the number densities of molecules (small and large BHs) and configuration entropy are investigated as a function of reduced temperature <span><math><mrow><mo>(</mo><mover><mrow><mi>τ</mi></mrow><mrow><mo>̃</mo></mrow></mover><mo>)</mo></mrow></math></span>. The difference in the number densities of BH molecules in <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity decreases with the increase in <span><math><mover><mrow><mi>τ</mi></mrow><mrow><mo>̃</mo></mrow></mover></math></span>, whereas, <span><math><msub><mrow><mi>S</mi></mrow><mrow><mi>c</mi><mi>o</mi><mi>n</mi></mrow></msub></math></span> increases monotonically and becomes a concave function with the increase in space–time dimensions. The relation between the difference in the number density of BH molecules and space–time dimensions <span><math><mrow><mo>(</mo><mi>d</mi><mo>)</mo></mrow></math></span> decreases with the increase in dimension <span><math><mi>d</mi></math></span>. Finally, using our results, the laws of BH Physics are also discussed.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101105"},"PeriodicalIF":1.6,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140893371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Eigenmodes and eigenfunctions of high-power electromagnetic waves in inhomogeneous magnetized plasmas and their stability to stimulated Raman backscattering","authors":"M. Hashemzadeh, A. Heidari","doi":"10.1016/j.hedp.2024.101106","DOIUrl":"https://doi.org/10.1016/j.hedp.2024.101106","url":null,"abstract":"<div><p>Eigenmodes and eigenfunctions of high-power electromagnetic waves in inhomogeneous magnetized plasmas are investigated. Considering the dielectric permittivity in the presence of an external magnetic field and relativistic nonlinearity and considering the inhomogeneity of the electron density in the linear and rippled structures, two nonlinear wave equations are obtained. In the linear regime, eigenmodes and eigenfunctions of the electric field for two-electron densities are obtained. In the nonlinear regime, results indicate that by increasing the external magnetic field, the amplitude of the electric field increases, which affects the dielectric permittivity. The conditions of the stimulated Raman backscattering and the equation of the space-charge potential are obtained. Results also indicate that in the presence of the external magnetic field, plasma inhomogeneity, and relativistic nonlinearity, the stimulated Raman backscattering becomes unstable.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101106"},"PeriodicalIF":1.6,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140917794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Probing dense plasmas for HEDS and ICF*","authors":"O L Landen","doi":"10.1016/j.hedp.2024.101102","DOIUrl":"https://doi.org/10.1016/j.hedp.2024.101102","url":null,"abstract":"<div><p>This paper is a retrospective of almost four decades of conceptualization and development of active x-ray probing of dense plasmas, involving multiple teams. In hindsight it was a surprisingly nonlinear and nonsystematic progression, with cycles of key epiphanies followed by multi-step technique optimization, spanning years. Each new idea or endeavor, whether or not realized / successful, spawned the next, and not necessarily in order of difficulty. The journey can be summarized by adapting/paraphrasing what Edward Teller said about NIF, that we develop new capabilities precisely because we don't know what those capabilities will enable.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101102"},"PeriodicalIF":1.6,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140647258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Erratum and addendum to “Simple electron-impact excitation cross-sections including plasma density effects” [High Energy Density Phys. 38 100923 (2021)]","authors":"Jean-Christophe Pain , Djamel Benredjem","doi":"10.1016/j.hedp.2024.101100","DOIUrl":"https://doi.org/10.1016/j.hedp.2024.101100","url":null,"abstract":"","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101100"},"PeriodicalIF":1.6,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1574181824000259/pdfft?md5=a97a6fee163d55f405458c9f6a96785a&pid=1-s2.0-S1574181824000259-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140620982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thick-shell model of indirect-drive yield sensitivity","authors":"","doi":"10.1016/j.hedp.2024.101101","DOIUrl":"10.1016/j.hedp.2024.101101","url":null,"abstract":"<div><p><span>We present an analytic thick shell model for indirect-drive ICF implosions that starts by using the Rocket equation to evaluate peak fuel kinetic energy and hence by energy balance, stagnated fuel internal energy. We then use the approximation of the hot spot decelerating adiabatically to an isobaric stagnated state coupled to a self-consistently calculated fuel aspect ratio. The model, validated by 1D radiation-hydrodynamics simulations, provides sensitivities of indirect-drive yield, DSR and ignition metrics to a host of initial and final state capsule and hohlraum parameters, applicable to the current relevant regime of igniting implosions. The model is used to highlight parameter trade-offs and estimate expected sensitivity in 1D compression, stagnated areal density and yield at current and higher performance levels. Several new insights are presented. Of note, we explain the weak dependence of ablator thickness on implosion velocity for designs with buried </span>dopant<span> layers, the uncertainty in performance improvement when adding fuel or reducing initial hot spot density, and the role of ionization energy and albedo in setting ablator efficiency.</span></p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"52 ","pages":"Article 101101"},"PeriodicalIF":1.6,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140806422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Corrigendum to “Supersonic radiation wave in doped low density foam” [High Energy Density Physics, 50, 101082 (2024)]","authors":"Avner P. Cohen , Elad Malka , Guy Malamud","doi":"10.1016/j.hedp.2024.101096","DOIUrl":"https://doi.org/10.1016/j.hedp.2024.101096","url":null,"abstract":"","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101096"},"PeriodicalIF":1.6,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1574181824000211/pdfft?md5=221f08d7432ba7507bdc629b7ab594cd&pid=1-s2.0-S1574181824000211-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140631695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The micro black hole cellular battery: The ultimate limits of battery energy density","authors":"Espen Gaarder Haug , Gianfranco Spavieri","doi":"10.1016/j.hedp.2024.101099","DOIUrl":"10.1016/j.hedp.2024.101099","url":null,"abstract":"<div><p>With the clean energy revolution, many methods of energy production, such as solar and wind power, are quite unstable because of weather variability. However, energy consumption remains relatively stable. Therefore, efficient energy storage could be crucial for the future. In this context, we will explore the theoretical limits of battery efficiency in terms of energy density. Surprisingly, although quite speculative, a potential solution might involve a cellular battery composed of micro black holes. In fact, let us suppose hypothetically that advanced future technology can handle the formation of black holes. Then, according to the extremal solution of the Reissner–Nordström metric from general relativity, such a battery could be stable and would not collapse into a larger black hole because the electromagnetic repulsion would precisely offset the force of gravity. Additionally, although it is generally assumed that nothing can escape from a black hole, a micro black hole could possibly annihilate another micro black hole, resulting in the release of an enormous amount of clean energy. For example, a battery weighing just one kilogram could provide approximately 470 million times the energy of the most efficient 200-kilogram lithium battery at the time of writing. While achieving such a level of technological advancement is certainly not imminent, it is not inconceivable that battery technology development could follow a trajectory similar to that of computer technology. Just as breakthroughs in physics and computer engineering have led to exponential growth in computer efficiency in the last 50 years, it is possible that battery efficiency could double or even quadruple every few years following different types of breakthroughs. Nonetheless, the theoretical concept of a micro black hole battery appears to align with current predictions of fundamental physics regarding the ultimate physical limits on energy density storage. This strongly indicates we are at the very early stage of battery technology, not even close to the end.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101099"},"PeriodicalIF":1.6,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1574181824000247/pdfft?md5=78332fc513b57f9172512c8d5f7b2e22&pid=1-s2.0-S1574181824000247-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140404677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Thomas-Kuhn-Reiche sum rule for bound electrons of ions in warm dense plasmas","authors":"Yair Kurzweil","doi":"10.1016/j.hedp.2024.101098","DOIUrl":"10.1016/j.hedp.2024.101098","url":null,"abstract":"<div><p>The Thomas-Kuhn-Reiche oscillator strength sum rule is analyzed for the case of ionized atoms in warm dense plasmas: The statistical summation of the bound-bound and the bound-free oscillator strength is proportional to the average bound electrons. This sum rule is checked for approximated absorption spectra like the detailed line accounting, detailed configurations accounting, the super transition arrays and the average atom using the CRSTA code. We show that the sum rule is properly satisfied for various elements in ranges of temperature-density that have sufficient bound orbitals. On the other hand, for the cases of few bound orbitals, the sum-rule is poorly satisfied, like in the case of high density and low temperature.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101098"},"PeriodicalIF":1.6,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140282514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Riley , R.L. Singh , S. White , M. Charlwood , D. Bailie , C. Hyland , T. Audet , G. Sarri , B. Kettle , G. Gribakin , S.J. Rose , E.G. Hill , G.J. Ferland , R.J.R. Williams , F.P. Keenan
{"title":"Generation of photoionized plasmas in the laboratory of relevance to accretion-powered x-ray sources using keV line radiation","authors":"D. Riley , R.L. Singh , S. White , M. Charlwood , D. Bailie , C. Hyland , T. Audet , G. Sarri , B. Kettle , G. Gribakin , S.J. Rose , E.G. Hill , G.J. Ferland , R.J.R. Williams , F.P. Keenan","doi":"10.1016/j.hedp.2024.101097","DOIUrl":"10.1016/j.hedp.2024.101097","url":null,"abstract":"<div><p>We describe laboratory experiments to generate x-ray photoionized plasmas of relevance to accretion-powered x-ray sources such as neutron star binaries and quasars, with significant improvements over previous work. A key quantity is referenced, namely the photoionization parameter, defined as <span><math><mrow><mi>ξ</mi><mo>=</mo><mn>4</mn><mi>π</mi><mi>F</mi><mo>/</mo><msub><mi>n</mi><mi>e</mi></msub></mrow></math></span> where <em>F</em> is the x-ray flux and <em>n<sub>e</sub></em> the electron density. This is normally meaningful in an astrophysical steady-state context, but is also commonly used in the literature as a figure of merit for laboratory experiments that are, of necessity, time-dependent. We demonstrate emission-weighted values of <span><math><mrow><mi>ξ</mi><mspace></mspace><mo>></mo><mn>50</mn></mrow></math></span> erg-cm <em>s</em><sup>−1</sup> using laser-plasma x-ray sources, with higher results at the centre of the plasma which are in the regime of interest for several astrophysical scenarios. Comparisons of laboratory experiments with astrophysical codes are always limited, principally by the many orders of magnitude differences in time and spatial scales, but also other plasma parameters. However useful checks on performance can often be made for a limited range of parameters. For example, we show that our use of a keV line source, rather than the quasi-blackbody radiation fields normally employed in such experiments, has allowed the generation of the ratio of inner-shell to outer-shell photoionization expected from a blackbody source with ∼keV spectral temperature. We compare calculations from our in-house plasma modelling code with those from Cloudy and find moderately good agreement for the time evolution of both electron temperature and average ionisation. However, a comparison of code predictions for a K-β argon X-ray spectrum with experimental data reveals that our Cloudy simulation overestimates the intensities of more highly ionised argon species. This is not totally surprising as the Cloudy model was generated for a single set of plasma conditions, while the experimental data are spatially integrated.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101097"},"PeriodicalIF":1.6,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1574181824000223/pdfft?md5=b138969aa075d0b8934542eb20b5593b&pid=1-s2.0-S1574181824000223-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}