The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts
In this paper, we present a sample of 21 repeating fast radio bursts (FRBs) detected by different radio instruments before September 2021. Using the Anderson–Darling test, we compared the distributions of extra-Galactic dispersion measure (<inline-formula><math xmlns="http://www.w3.org...
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MDPI AG
2022-06-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/7/355 |
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| author | Kongjun Zhang Longbiao Li Zhibin Zhang Qinmei Li Juanjuan Luo Min Jiang |
| author_facet | Kongjun Zhang Longbiao Li Zhibin Zhang Qinmei Li Juanjuan Luo Min Jiang |
| author_sort | Kongjun Zhang |
| collection | DOAJ |
| description | In this paper, we present a sample of 21 repeating fast radio bursts (FRBs) detected by different radio instruments before September 2021. Using the Anderson–Darling test, we compared the distributions of extra-Galactic dispersion measure (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><msub><mi>M</mi><mi mathvariant="normal">E</mi></msub></mrow></semantics></math></inline-formula>) of non-repeating FRBs, repeating FRBs and all FRBs. It was found that the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><msub><mi>M</mi><mi mathvariant="normal">E</mi></msub></mrow></semantics></math></inline-formula> values of three sub-samples are log-normally distributed. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><msub><mi>M</mi><mi mathvariant="normal">E</mi></msub></mrow></semantics></math></inline-formula> of repeaters and non-repeaters were drawn from a different distribution on basis of the Mann–Whitney–Wilcoxon test. In addition, assuming that the non-repeating FRBs identified currently may be potentially repeators, i.e., the repeating FRBs to be universal and representative, one can utilize the averaged fluence of repeating FRBs as an indication from which to derive an apparent intensity distribution function (IDF) with a power-law index of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>a</mi><mn>1</mn></msub><mo>=</mo></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.10</mn><mo>±</mo><mn>0.14</mn></mrow></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>a</mi><mn>2</mn></msub><mo>=</mo></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.01</mn><mo>±</mo><mn>0.16</mn></mrow></semantics></math></inline-formula>, the observed fluence as a statistical variant), which is in good agreement with the previous IDF of 16 non-repeating FRBs found by Li et al. Based on the above statistics of repeating and non-repeating FRBs, we propose that both types of FRBs may have different cosmological origins, spatial distributions and circum-burst environments. Interestingly, the differential luminosity distributions of repeating and non-repeating FRBs can also be well described by a broken power-law function with the same power-law index of −1.4. |
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| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:53:32Z |
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| series | Universe |
| spelling | doaj.art-11709b81d3bd4d9d980f6240b13d6cf12023-11-30T22:01:58ZengMDPI AGUniverse2218-19972022-06-018735510.3390/universe8070355The Statistical Similarity of Repeating and Non-Repeating Fast Radio BurstsKongjun Zhang0Longbiao Li1Zhibin Zhang2Qinmei Li3Juanjuan Luo4Min Jiang5Department of Physics, College of Physics, Guizhou University, Guiyang 550025, ChinaSchool of Mathematics and Physics, Hebei University of Engineering, Handan 056005, ChinaDepartment of Physics, College of Physics, Guizhou University, Guiyang 550025, ChinaDepartment of Physics, College of Physics, Guizhou University, Guiyang 550025, ChinaCollege of Physics and Electronic Science, Qiannan Normal University, Duyun 55800, ChinaDepartment of Physics, College of Physics, Guizhou University, Guiyang 550025, ChinaIn this paper, we present a sample of 21 repeating fast radio bursts (FRBs) detected by different radio instruments before September 2021. Using the Anderson–Darling test, we compared the distributions of extra-Galactic dispersion measure (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><msub><mi>M</mi><mi mathvariant="normal">E</mi></msub></mrow></semantics></math></inline-formula>) of non-repeating FRBs, repeating FRBs and all FRBs. It was found that the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><msub><mi>M</mi><mi mathvariant="normal">E</mi></msub></mrow></semantics></math></inline-formula> values of three sub-samples are log-normally distributed. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><msub><mi>M</mi><mi mathvariant="normal">E</mi></msub></mrow></semantics></math></inline-formula> of repeaters and non-repeaters were drawn from a different distribution on basis of the Mann–Whitney–Wilcoxon test. In addition, assuming that the non-repeating FRBs identified currently may be potentially repeators, i.e., the repeating FRBs to be universal and representative, one can utilize the averaged fluence of repeating FRBs as an indication from which to derive an apparent intensity distribution function (IDF) with a power-law index of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>a</mi><mn>1</mn></msub><mo>=</mo></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.10</mn><mo>±</mo><mn>0.14</mn></mrow></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>a</mi><mn>2</mn></msub><mo>=</mo></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.01</mn><mo>±</mo><mn>0.16</mn></mrow></semantics></math></inline-formula>, the observed fluence as a statistical variant), which is in good agreement with the previous IDF of 16 non-repeating FRBs found by Li et al. Based on the above statistics of repeating and non-repeating FRBs, we propose that both types of FRBs may have different cosmological origins, spatial distributions and circum-burst environments. Interestingly, the differential luminosity distributions of repeating and non-repeating FRBs can also be well described by a broken power-law function with the same power-law index of −1.4.https://www.mdpi.com/2218-1997/8/7/355high energy astrophysics (739)radio transient sources (2008)radio bursts (1339)extragalactic radio sources (508)radio continuum emission (1340) |
| spellingShingle | Kongjun Zhang Longbiao Li Zhibin Zhang Qinmei Li Juanjuan Luo Min Jiang The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts Universe high energy astrophysics (739) radio transient sources (2008) radio bursts (1339) extragalactic radio sources (508) radio continuum emission (1340) |
| title | The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts |
| title_full | The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts |
| title_fullStr | The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts |
| title_full_unstemmed | The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts |
| title_short | The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts |
| title_sort | statistical similarity of repeating and non repeating fast radio bursts |
| topic | high energy astrophysics (739) radio transient sources (2008) radio bursts (1339) extragalactic radio sources (508) radio continuum emission (1340) |
| url | https://www.mdpi.com/2218-1997/8/7/355 |
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