Measurement of the equation of state of solid-density copper heated with laser-accelerated protons

Feldman, S.; Dyer, G.; Kuk, Donghoon; Ditmire, T.

doi:10.1103/physreve.95.031201

Cited by 11 publications

(4 citation statements)

References 37 publications

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“…Virtually any ground-state GGA XC functional thus can be extended systematically into an XC free energy functional by use of the T-dependent variables Eqs. (7), (11) within this framework.…”

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confidence: 99%

Nonempirical Semilocal Free-Energy Density Functional for Matter under Extreme Conditions

2018

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Realizing the potential for predictive density functional calculations of matter under extreme conditions depends crucially upon having an exchange-correlation (XC) free-energy functional accurate over a wide range of state conditions. Unlike the ground-state case, no such functional exists. We remedy that with systematic construction of a generalized gradient approximation XC free-energy functional based on rigorous constraints, including the free-energy gradient expansion. The new functional provides the correct temperature dependence in the slowly varying regime and the correct zero-T, high-T, and homogeneous electron gas limits. Its accuracy in the warm dense matter regime is attested by excellent agreement of the calculated deuterium equation of state with reference path integral Monte Carlo results at intermediate and elevated T. Pressure shifts for hot electrons in compressed static fcc Al and for low-density Al demonstrate the combined magnitude of thermal and gradient effects handled well by this functional over a wide T range.

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confidence: 99%

Nonempirical Semilocal Free-Energy Density Functional for Matter under Extreme Conditions

2018

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“…Developing suitable techniques is a long-standing desire of the laser community at large. A host of other studies from generating secondary sources [12] to high-energy density physics [13][14][15] to medical applications [16][17][18][19][20][21] also would benefit from better knowledge of the intensity.…”

Section: Introductionmentioning

confidence: 99%

Towards an in situ, full-power gauge of the focal-volume intensity of petawatt-class lasers

Longman

Pérez-Hernández

et al. 2019

Opt. Express

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About 50 years ago, Sarachick and Schappert [Phys. Rev. D. 1, 2738-2752(1970] showed that relativistic Thomson scattering leads to wavelength shifts that are proportional to the laser intensity. About 28 years later Chen et al. [Nature 396, 653-655 (1998)] used these shifts to estimate their laser intensity near 10 18 W/cm 2 . More recently there have been several theoretical studies aimed at exploiting nonlinear Thomson scattering as a tool for direct measurement of intensities well into the relativistic regime. We present the first quantitative study of this approach for intensities between 10 18 and 10 19 W/cm 2 . We show that the spectral shifts are in reasonable agreement with estimates of the peak intensity extracted from images of the focal area obtained at reduced power. Finally, we discuss the viability of the approach, its range of usefulness and how it might be extended to gauge intensities well in excess of 10 19 W/cm 2 .

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“…These laser-driven protons or ions transfer their kinetic energy to a sample very rapidly via Coulomb collisions before significant hydrodynamic expansion of the sample occurs [12][13][14][15] . The heated sample often reaches high temperatures above 10,000 K [16][17][18][19][20] , while still maintaining near-solid density. Because of these properties, laser-driven ions can be used in research areas such as the study of warm dense matter [17][18][19][20] and fast ignition 21,22 .…”

mentioning

confidence: 99%

“…The heated sample often reaches high temperatures above 10,000 K [16][17][18][19][20] , while still maintaining near-solid density. Because of these properties, laser-driven ions can be used in research areas such as the study of warm dense matter [17][18][19][20] and fast ignition 21,22 .…”

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confidence: 99%

Temperature evolution of dense gold and diamond heated by energetic laser-driven aluminum ions

Song

Lee²,

Bang³

2022

Sci Rep

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Recent studies have shown that energetic laser-driven ions with some energy spread can heat small solid-density samples uniformly. The balance among the energy losses of the ions with different kinetic energies results in uniform heating. Although heating with an energetic laser-driven ion beam is completed within a nanosecond and is often considered sufficiently fast, it is not instantaneous. Here we present a theoretical study of the temporal evolution of the temperature of solid-density gold and diamond samples heated by a quasimonoenergetic aluminum ion beam. We calculate the temporal evolution of the predicted temperatures of the samples using the available stopping power data and the SESAME equation-of-state tables. We find that the temperature distribution is initially very uniform, which becomes less uniform during the heating process. Then, the temperature uniformity gradually improves, and a good temperature uniformity is obtained toward the end of the heating process.

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Measurement of the equation of state of solid-density copper heated with laser-accelerated protons

Cited by 11 publications

References 37 publications

Nonempirical Semilocal Free-Energy Density Functional for Matter under Extreme Conditions

Nonempirical Semilocal Free-Energy Density Functional for Matter under Extreme Conditions

Towards an in situ, full-power gauge of the focal-volume intensity of petawatt-class lasers

Temperature evolution of dense gold and diamond heated by energetic laser-driven aluminum ions

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