On the FRB luminosity function – – II. Event rate density

ABSTRACT The luminosity function of Fast Radio Bursts (FRBs), defined as the event rate per unit cosmic co-moving volume per unit luminosity, may help to reveal the possible origins of FRBs and design the optimal searching strategy. With the Bayesian modelling, we measure the FRB luminosity function...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Monthly notices of the Royal Astronomical Society 2020-05, Vol.494 (1), p.665-679
Hauptverfasser: Luo, Rui, Men, Yunpeng, Lee, Kejia, Wang, Weiyang, Lorimer, D R, Zhang, Bing
Format: Artikel
Sprache:eng
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 679
container_issue 1
container_start_page 665
container_title Monthly notices of the Royal Astronomical Society
container_volume 494
creator Luo, Rui
Men, Yunpeng
Lee, Kejia
Wang, Weiyang
Lorimer, D R
Zhang, Bing
description ABSTRACT The luminosity function of Fast Radio Bursts (FRBs), defined as the event rate per unit cosmic co-moving volume per unit luminosity, may help to reveal the possible origins of FRBs and design the optimal searching strategy. With the Bayesian modelling, we measure the FRB luminosity function using 46 known FRBs. Our Bayesian framework self-consistently models the selection effects, including the survey sensitivity, the telescope beam response, and the electron distributions from Milky Way/ the host galaxy/ local environment of FRBs. Different from the previous companion paper, we pay attention to the FRB event rate density and model the event counts of FRB surveys based on the Poisson statistics. Assuming a Schechter luminosity function form, we infer (at the 95 per cent confidence level) that the characteristic FRB event rate density at the upper cut-off luminosity $L^*=2.9_{-1.7}^{+11.9}\times 10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$ is $\phi ^*=339_{-313}^{+1074}\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$, the power-law index is $\alpha =-1.79_{-0.35}^{+0.31}$, and the lower cut-off luminosity is $L_0\le 9.1\times 10^{41}\, \mathrm{erg}\, \mathrm{s}^{-1}$. The event rate density of FRBs is found to be $3.5_{-2.4}^{+5.7}\times 10^4\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{42}\, \mathrm{erg}\, \mathrm{s}^{-1}$, $5.0_{-2.3}^{+3.2}\times 10^3\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{43}\, \mathrm{erg}\, \mathrm{s}^{-1}$ , and $3.7_{-2.0}^{+3.5}\times 10^2\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$. As a result, we find that, for searches conducted at 1.4 GHz, the optimal diameter of single-dish radio telescopes to detect FRBs is 30–40 m. The possible astrophysical implications of the measured event rate density are also discussed in the current paper.
doi_str_mv 10.1093/mnras/staa704
format Article
fullrecord <record><control><sourceid>oup_TOX</sourceid><recordid>TN_cdi_crossref_primary_10_1093_mnras_staa704</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><oup_id>10.1093/mnras/staa704</oup_id><sourcerecordid>10.1093/mnras/staa704</sourcerecordid><originalsourceid>FETCH-LOGICAL-c375t-493fd111edb0d6c8eb039ac108880fd947a4c7ea5ac35f5f2a2a0783bd7b41583</originalsourceid><addsrcrecordid>eNqFz71OwzAUhmELgUQojOweWdwex3bsDAxQtRCpUiUEc-T4RwQ1ThU7SN24B-6QK4H-7AxHZ3n0SS9CtxSmFEo268Kg4ywmrSXwM5RRVgiSl0VxjjIAJoiSlF6iqxg_AICzvMjQ_Trg9O7w8uURb8auDX1s0w77MZjU9gH_fH0frqqmePHpQsKDTg5bF_buGl14vYnu5vQn6G25eJ0_k9X6qZo_rIhhUiTCS-YtpdTZBmxhlGuAldpQUEqBtyWXmhvptNCGCS98rnMNUrHGyoZTodgEkeOuGfoYB-fr7dB2etjVFOp9e31or0_tf_7u6Ptx-w_9BfS7Xcc</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the FRB luminosity function – – II. Event rate density</title><source>Oxford Journals Open Access Collection</source><creator>Luo, Rui ; Men, Yunpeng ; Lee, Kejia ; Wang, Weiyang ; Lorimer, D R ; Zhang, Bing</creator><creatorcontrib>Luo, Rui ; Men, Yunpeng ; Lee, Kejia ; Wang, Weiyang ; Lorimer, D R ; Zhang, Bing</creatorcontrib><description>ABSTRACT The luminosity function of Fast Radio Bursts (FRBs), defined as the event rate per unit cosmic co-moving volume per unit luminosity, may help to reveal the possible origins of FRBs and design the optimal searching strategy. With the Bayesian modelling, we measure the FRB luminosity function using 46 known FRBs. Our Bayesian framework self-consistently models the selection effects, including the survey sensitivity, the telescope beam response, and the electron distributions from Milky Way/ the host galaxy/ local environment of FRBs. Different from the previous companion paper, we pay attention to the FRB event rate density and model the event counts of FRB surveys based on the Poisson statistics. Assuming a Schechter luminosity function form, we infer (at the 95 per cent confidence level) that the characteristic FRB event rate density at the upper cut-off luminosity $L^*=2.9_{-1.7}^{+11.9}\times 10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$ is $\phi ^*=339_{-313}^{+1074}\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$, the power-law index is $\alpha =-1.79_{-0.35}^{+0.31}$, and the lower cut-off luminosity is $L_0\le 9.1\times 10^{41}\, \mathrm{erg}\, \mathrm{s}^{-1}$. The event rate density of FRBs is found to be $3.5_{-2.4}^{+5.7}\times 10^4\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{42}\, \mathrm{erg}\, \mathrm{s}^{-1}$, $5.0_{-2.3}^{+3.2}\times 10^3\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{43}\, \mathrm{erg}\, \mathrm{s}^{-1}$ , and $3.7_{-2.0}^{+3.5}\times 10^2\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$. As a result, we find that, for searches conducted at 1.4 GHz, the optimal diameter of single-dish radio telescopes to detect FRBs is 30–40 m. The possible astrophysical implications of the measured event rate density are also discussed in the current paper.</description><identifier>ISSN: 0035-8711</identifier><identifier>EISSN: 1365-2966</identifier><identifier>DOI: 10.1093/mnras/staa704</identifier><language>eng</language><publisher>Oxford University Press</publisher><ispartof>Monthly notices of the Royal Astronomical Society, 2020-05, Vol.494 (1), p.665-679</ispartof><rights>2020 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society 2020</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c375t-493fd111edb0d6c8eb039ac108880fd947a4c7ea5ac35f5f2a2a0783bd7b41583</citedby><cites>FETCH-LOGICAL-c375t-493fd111edb0d6c8eb039ac108880fd947a4c7ea5ac35f5f2a2a0783bd7b41583</cites><orcidid>0000-0003-4137-4247 ; 0000-0001-9036-8543 ; 0000-0002-4300-121X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1598,27901,27902</link.rule.ids><linktorsrc>$$Uhttps://dx.doi.org/10.1093/mnras/staa704$$EView_record_in_Oxford_University_Press$$FView_record_in_$$GOxford_University_Press</linktorsrc></links><search><creatorcontrib>Luo, Rui</creatorcontrib><creatorcontrib>Men, Yunpeng</creatorcontrib><creatorcontrib>Lee, Kejia</creatorcontrib><creatorcontrib>Wang, Weiyang</creatorcontrib><creatorcontrib>Lorimer, D R</creatorcontrib><creatorcontrib>Zhang, Bing</creatorcontrib><title>On the FRB luminosity function – – II. Event rate density</title><title>Monthly notices of the Royal Astronomical Society</title><description>ABSTRACT The luminosity function of Fast Radio Bursts (FRBs), defined as the event rate per unit cosmic co-moving volume per unit luminosity, may help to reveal the possible origins of FRBs and design the optimal searching strategy. With the Bayesian modelling, we measure the FRB luminosity function using 46 known FRBs. Our Bayesian framework self-consistently models the selection effects, including the survey sensitivity, the telescope beam response, and the electron distributions from Milky Way/ the host galaxy/ local environment of FRBs. Different from the previous companion paper, we pay attention to the FRB event rate density and model the event counts of FRB surveys based on the Poisson statistics. Assuming a Schechter luminosity function form, we infer (at the 95 per cent confidence level) that the characteristic FRB event rate density at the upper cut-off luminosity $L^*=2.9_{-1.7}^{+11.9}\times 10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$ is $\phi ^*=339_{-313}^{+1074}\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$, the power-law index is $\alpha =-1.79_{-0.35}^{+0.31}$, and the lower cut-off luminosity is $L_0\le 9.1\times 10^{41}\, \mathrm{erg}\, \mathrm{s}^{-1}$. The event rate density of FRBs is found to be $3.5_{-2.4}^{+5.7}\times 10^4\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{42}\, \mathrm{erg}\, \mathrm{s}^{-1}$, $5.0_{-2.3}^{+3.2}\times 10^3\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{43}\, \mathrm{erg}\, \mathrm{s}^{-1}$ , and $3.7_{-2.0}^{+3.5}\times 10^2\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$. As a result, we find that, for searches conducted at 1.4 GHz, the optimal diameter of single-dish radio telescopes to detect FRBs is 30–40 m. The possible astrophysical implications of the measured event rate density are also discussed in the current paper.</description><issn>0035-8711</issn><issn>1365-2966</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqFz71OwzAUhmELgUQojOweWdwex3bsDAxQtRCpUiUEc-T4RwQ1ThU7SN24B-6QK4H-7AxHZ3n0SS9CtxSmFEo268Kg4ywmrSXwM5RRVgiSl0VxjjIAJoiSlF6iqxg_AICzvMjQ_Trg9O7w8uURb8auDX1s0w77MZjU9gH_fH0frqqmePHpQsKDTg5bF_buGl14vYnu5vQn6G25eJ0_k9X6qZo_rIhhUiTCS-YtpdTZBmxhlGuAldpQUEqBtyWXmhvptNCGCS98rnMNUrHGyoZTodgEkeOuGfoYB-fr7dB2etjVFOp9e31or0_tf_7u6Ptx-w_9BfS7Xcc</recordid><startdate>20200501</startdate><enddate>20200501</enddate><creator>Luo, Rui</creator><creator>Men, Yunpeng</creator><creator>Lee, Kejia</creator><creator>Wang, Weiyang</creator><creator>Lorimer, D R</creator><creator>Zhang, Bing</creator><general>Oxford University Press</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-4137-4247</orcidid><orcidid>https://orcid.org/0000-0001-9036-8543</orcidid><orcidid>https://orcid.org/0000-0002-4300-121X</orcidid></search><sort><creationdate>20200501</creationdate><title>On the FRB luminosity function – – II. Event rate density</title><author>Luo, Rui ; Men, Yunpeng ; Lee, Kejia ; Wang, Weiyang ; Lorimer, D R ; Zhang, Bing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c375t-493fd111edb0d6c8eb039ac108880fd947a4c7ea5ac35f5f2a2a0783bd7b41583</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Luo, Rui</creatorcontrib><creatorcontrib>Men, Yunpeng</creatorcontrib><creatorcontrib>Lee, Kejia</creatorcontrib><creatorcontrib>Wang, Weiyang</creatorcontrib><creatorcontrib>Lorimer, D R</creatorcontrib><creatorcontrib>Zhang, Bing</creatorcontrib><collection>CrossRef</collection><jtitle>Monthly notices of the Royal Astronomical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Luo, Rui</au><au>Men, Yunpeng</au><au>Lee, Kejia</au><au>Wang, Weiyang</au><au>Lorimer, D R</au><au>Zhang, Bing</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the FRB luminosity function – – II. Event rate density</atitle><jtitle>Monthly notices of the Royal Astronomical Society</jtitle><date>2020-05-01</date><risdate>2020</risdate><volume>494</volume><issue>1</issue><spage>665</spage><epage>679</epage><pages>665-679</pages><issn>0035-8711</issn><eissn>1365-2966</eissn><abstract>ABSTRACT The luminosity function of Fast Radio Bursts (FRBs), defined as the event rate per unit cosmic co-moving volume per unit luminosity, may help to reveal the possible origins of FRBs and design the optimal searching strategy. With the Bayesian modelling, we measure the FRB luminosity function using 46 known FRBs. Our Bayesian framework self-consistently models the selection effects, including the survey sensitivity, the telescope beam response, and the electron distributions from Milky Way/ the host galaxy/ local environment of FRBs. Different from the previous companion paper, we pay attention to the FRB event rate density and model the event counts of FRB surveys based on the Poisson statistics. Assuming a Schechter luminosity function form, we infer (at the 95 per cent confidence level) that the characteristic FRB event rate density at the upper cut-off luminosity $L^*=2.9_{-1.7}^{+11.9}\times 10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$ is $\phi ^*=339_{-313}^{+1074}\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$, the power-law index is $\alpha =-1.79_{-0.35}^{+0.31}$, and the lower cut-off luminosity is $L_0\le 9.1\times 10^{41}\, \mathrm{erg}\, \mathrm{s}^{-1}$. The event rate density of FRBs is found to be $3.5_{-2.4}^{+5.7}\times 10^4\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{42}\, \mathrm{erg}\, \mathrm{s}^{-1}$, $5.0_{-2.3}^{+3.2}\times 10^3\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{43}\, \mathrm{erg}\, \mathrm{s}^{-1}$ , and $3.7_{-2.0}^{+3.5}\times 10^2\, \mathrm{Gpc}^{-3}\, \mathrm{yr}^{-1}$ above $10^{44}\, \mathrm{erg}\, \mathrm{s}^{-1}$. As a result, we find that, for searches conducted at 1.4 GHz, the optimal diameter of single-dish radio telescopes to detect FRBs is 30–40 m. The possible astrophysical implications of the measured event rate density are also discussed in the current paper.</abstract><pub>Oxford University Press</pub><doi>10.1093/mnras/staa704</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0003-4137-4247</orcidid><orcidid>https://orcid.org/0000-0001-9036-8543</orcidid><orcidid>https://orcid.org/0000-0002-4300-121X</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier ISSN: 0035-8711
ispartof Monthly notices of the Royal Astronomical Society, 2020-05, Vol.494 (1), p.665-679
issn 0035-8711
1365-2966
language eng
recordid cdi_crossref_primary_10_1093_mnras_staa704
source Oxford Journals Open Access Collection
title On the FRB luminosity function – – II. Event rate density
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-09T18%3A59%3A18IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-oup_TOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20FRB%20luminosity%20function%20%E2%80%93%20%E2%80%93%20II.%20Event%20rate%20density&rft.jtitle=Monthly%20notices%20of%20the%20Royal%20Astronomical%20Society&rft.au=Luo,%20Rui&rft.date=2020-05-01&rft.volume=494&rft.issue=1&rft.spage=665&rft.epage=679&rft.pages=665-679&rft.issn=0035-8711&rft.eissn=1365-2966&rft_id=info:doi/10.1093/mnras/staa704&rft_dat=%3Coup_TOX%3E10.1093/mnras/staa704%3C/oup_TOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_oup_id=10.1093/mnras/staa704&rfr_iscdi=true