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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.03785 |
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| _version_ | 1866910686148296704 |
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| author | Dey, R. Banerjee, G. Misra, A. P. Bhowmik, C. |
| author_facet | Dey, R. Banerjee, G. Misra, A. P. Bhowmik, C. |
| contents | The theory of ion-acoustic solitons in nonrelativistic fully degenerate plasmas and nonrelativistic and ultra-relativistic degenerate plasmas at low temperatures is known. We consider a multi-component relativistic degenerate electron-positron-ion plasma at finite temperatures. Specifically, we focus on the intermediate region where the particle's thermal energy $(k_BT)$ and the rest-mass energy $(mc^2)$ do not differ significantly, i.e., $k_BT\sim mc^2$. However, the Fermi energy $(k_BT_F)$ is larger than the thermal energy and the normalized chemical energy ($ξ=μ/k_BT$) is positive and finite. Two different parameter regimes with $β\equiv k_BT/mc^2<1$ and $β>1$, relevant for astrophysical plasmas, are defined, and the existence of small amplitude ion-acoustic solitons in these regimes are studied, including the critical cases where the known KdV (Korteweg-de Vries) theory fails. We show that while the solitons with both the positive (compressive) and negative (rarefactive) potentials coexist in the case of $β<1$, only compressive solitons can exist in the other regime $(β>1)$. Furthermore, while the rarefactive solitons within the parameter domains of $β$ and $ξ$ can evolve with increasing amplitude and hence increasing energy, the energy of compressive solitons reaches a steady state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_03785 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ion-acoustic solitons in a relativistic Fermi plasma at finite temperature Dey, R. Banerjee, G. Misra, A. P. Bhowmik, C. Plasma Physics The theory of ion-acoustic solitons in nonrelativistic fully degenerate plasmas and nonrelativistic and ultra-relativistic degenerate plasmas at low temperatures is known. We consider a multi-component relativistic degenerate electron-positron-ion plasma at finite temperatures. Specifically, we focus on the intermediate region where the particle's thermal energy $(k_BT)$ and the rest-mass energy $(mc^2)$ do not differ significantly, i.e., $k_BT\sim mc^2$. However, the Fermi energy $(k_BT_F)$ is larger than the thermal energy and the normalized chemical energy ($ξ=μ/k_BT$) is positive and finite. Two different parameter regimes with $β\equiv k_BT/mc^2<1$ and $β>1$, relevant for astrophysical plasmas, are defined, and the existence of small amplitude ion-acoustic solitons in these regimes are studied, including the critical cases where the known KdV (Korteweg-de Vries) theory fails. We show that while the solitons with both the positive (compressive) and negative (rarefactive) potentials coexist in the case of $β<1$, only compressive solitons can exist in the other regime $(β>1)$. Furthermore, while the rarefactive solitons within the parameter domains of $β$ and $ξ$ can evolve with increasing amplitude and hence increasing energy, the energy of compressive solitons reaches a steady state. |
| title | Ion-acoustic solitons in a relativistic Fermi plasma at finite temperature |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2303.03785 |