Self-similar multishock implosions for ultrahigh compression of matter
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909952672530432 |
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| author | Murakami, M. |
| author_facet | Murakami, M. |
| contents | We present a class of self-similar solutions describing ultrahigh compression of a uniform-density target by spherically converging, stacked shock waves. Extending the classical Guderley model, we derive a scaling law for the final density of the form $ρ_{r}/ρ_{0} \propto \hat{P}^{β(N-1)}$, where $N$ is the number of shocks, $\hat{P}$ the stage pressure ratio, and $β$ a numerical exponent determined by the adiabatic index $γ$. One-dimensional hydrodynamic simulations confirm the validity of this scaling across a broad parameter range. Notably, the relation remains accurate even in the strongly nonlinear regime up to $\hat{P} \sim 70$, well beyond the perturbative limit, highlighting the robustness and practical relevance of the model. Owing to its volumetric geometry, this compression scheme inherently avoids the Rayleigh--Taylor instability, which typically compromises shell-based implosions, and thereby establishes a theoretical benchmark for instability-free compression in inertial confinement fusion. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_00827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-similar multishock implosions for ultrahigh compression of matter Murakami, M. Fluid Dynamics Plasma Physics We present a class of self-similar solutions describing ultrahigh compression of a uniform-density target by spherically converging, stacked shock waves. Extending the classical Guderley model, we derive a scaling law for the final density of the form $ρ_{r}/ρ_{0} \propto \hat{P}^{β(N-1)}$, where $N$ is the number of shocks, $\hat{P}$ the stage pressure ratio, and $β$ a numerical exponent determined by the adiabatic index $γ$. One-dimensional hydrodynamic simulations confirm the validity of this scaling across a broad parameter range. Notably, the relation remains accurate even in the strongly nonlinear regime up to $\hat{P} \sim 70$, well beyond the perturbative limit, highlighting the robustness and practical relevance of the model. Owing to its volumetric geometry, this compression scheme inherently avoids the Rayleigh--Taylor instability, which typically compromises shell-based implosions, and thereby establishes a theoretical benchmark for instability-free compression in inertial confinement fusion. |
| title | Self-similar multishock implosions for ultrahigh compression of matter |
| topic | Fluid Dynamics Plasma Physics |
| url | https://arxiv.org/abs/2512.00827 |