Generalised partition functions: inferences on  phase space distributions

Treumann, Rudolf A.; Baumjohann, Wolfgang

doi:10.5194/angeo-34-557-2016

Articles | Volume 34, issue 6

https://doi.org/10.5194/angeo-34-557-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/angeo-34-557-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 34, issue 6

Regular paper

|

02 Jun 2016

Regular paper |

| 02 Jun 2016

Generalised partition functions: inferences on phase space distributions

Rudolf A. Treumann and Wolfgang Baumjohann

Viewed

Total article views: 2,026 (including HTML, PDF, and XML)

HTML	PDF	XML	Total	BibTeX	EndNote
1,204	730	92	2,026	133	175

HTML: 1,204
PDF: 730
XML: 92
Total: 2,026
BibTeX: 133
EndNote: 175

Views and downloads (calculated since 02 Jun 2016)

Month	HTML	PDF	XML	Total
Jun 2016	85	32	2	119
Jul 2016	50	12	2	64
Aug 2016	11	3	0	14
Sep 2016	8	3	0	11
Oct 2016	10	7	0	17
Nov 2016	5	4	0	9
Dec 2016	5	3	1	9
Jan 2017	9	3	0	12
Feb 2017	9	2	0	11
Mar 2017	20	2	1	23
Apr 2017	16	6	0	22
May 2017	20	9	2	31
Jun 2017	17	1	0	18
Jul 2017	12	2	0	14
Aug 2017	3	2	0	5
Sep 2017	5	5	0	10
Oct 2017	3	7	0	10
Nov 2017	10	10	1	21
Dec 2017	8	5	0	13
Jan 2018	4	5	0	9
Feb 2018	8	1	0	9
Mar 2018	8	5	1	14
Apr 2018	7	5	0	12
May 2018	8	3	0	11
Jun 2018	2	1	0	3
Jul 2018	4	2	0	6
Aug 2018	8	4	0	12
Sep 2018	8	2	0	10
Oct 2018	4	6	0	10
Nov 2018	4	4	0	8
Dec 2018	10	13	0	23
Jan 2019	2	3	0	5
Feb 2019	4	4	0	8
Mar 2019	5	5	0	10
Apr 2019	4	3	0	7
May 2019	5	4	0	9
Jun 2019	9	10	0	19
Jul 2019	2	5	0	7
Aug 2019	5	6	0	11
Sep 2019	2	4	0	6
Oct 2019	4	8	1	13
Nov 2019	2	8	0	10
Dec 2019	5	4	0	9
Jan 2020	8	5	2	15
Feb 2020	4	5	0	9
Mar 2020	5	4	0	9
Apr 2020	4	5	0	9
May 2020	7	6	0	13
Jun 2020	17	4	0	21
Jul 2020	18	14	5	37
Aug 2020	7	6	4	17
Sep 2020	6	2	0	8
Oct 2020	7	14	0	21
Nov 2020	6	9	3	18
Dec 2020	18	7	0	25
Jan 2021	13	6	0	19
Feb 2021	7	8	0	15
Mar 2021	9	12	0	21
Apr 2021	5	6	0	11
May 2021	5	6	0	11
Jun 2021	7	4	0	11
Jul 2021	4	5	0	9
Aug 2021	5	4	0	9
Sep 2021	10	5	0	15
Oct 2021	5	17	2	24
Nov 2021	5	11	1	17
Dec 2021	14	6	0	20
Jan 2022	9	6	0	15
Feb 2022	6	8	5	19
Mar 2022	5	5	1	11
Apr 2022	3	4	1	8
May 2022	4	4	0	8
Jun 2022	7	6	0	13
Jul 2022	10	9	0	19
Aug 2022	12	3	0	15
Sep 2022	6	2	0	8
Oct 2022	10	5	1	16
Nov 2022	5	8	0	13
Dec 2022	7	7	0	14
Jan 2023	5	7	1	13
Feb 2023	13	2	0	15
Mar 2023	10	4	0	14
Apr 2023	6	5	0	11
May 2023	24	7	3	34
Jun 2023	28	3	1	32
Jul 2023	12	1	0	13
Aug 2023	7	2	1	10
Sep 2023	8	4	5	17
Oct 2023	6	11	0	17
Nov 2023	1	1	0	2
Dec 2023	16	8	2	26
Jan 2024	4	4	0	8
Feb 2024	3	4	2	9
Mar 2024	1	4	2	7
Apr 2024	7	3	1	11
May 2024	14	13	8	35
Jun 2024	31	7	2	40
Jul 2024	8	7	4	19
Aug 2024	13	3	2	18
Sep 2024	9	3	1	13
Oct 2024	15	2	4	21
Nov 2024	17	3	2	22
Dec 2024	15	6	3	24
Jan 2025	8	6	1	15
Feb 2025	8	22	0	30
Mar 2025	15	26	0	41
Apr 2025	11	4	0	15
May 2025	11	15	0	26
Jun 2025	40	12	0	52
Jul 2025	15	10	4	29
Aug 2025	21	18	0	39
Sep 2025	52	16	4	72
Oct 2025	32	16	3	51
Nov 2025	8	0	8

Cumulative views and downloads (calculated since 02 Jun 2016)

Month	HTML	PDF	XML	Total
Jun 2016	85	32	2	119
Jul 2016	50	12	2	64
Aug 2016	11	3	0	14
Sep 2016	8	3	0	11
Oct 2016	10	7	0	17
Nov 2016	5	4	0	9
Dec 2016	5	3	1	9
Jan 2017	9	3	0	12
Feb 2017	9	2	0	11
Mar 2017	20	2	1	23
Apr 2017	16	6	0	22
May 2017	20	9	2	31
Jun 2017	17	1	0	18
Jul 2017	12	2	0	14
Aug 2017	3	2	0	5
Sep 2017	5	5	0	10
Oct 2017	3	7	0	10
Nov 2017	10	10	1	21
Dec 2017	8	5	0	13
Jan 2018	4	5	0	9
Feb 2018	8	1	0	9
Mar 2018	8	5	1	14
Apr 2018	7	5	0	12
May 2018	8	3	0	11
Jun 2018	2	1	0	3
Jul 2018	4	2	0	6
Aug 2018	8	4	0	12
Sep 2018	8	2	0	10
Oct 2018	4	6	0	10
Nov 2018	4	4	0	8
Dec 2018	10	13	0	23
Jan 2019	2	3	0	5
Feb 2019	4	4	0	8
Mar 2019	5	5	0	10
Apr 2019	4	3	0	7
May 2019	5	4	0	9
Jun 2019	9	10	0	19
Jul 2019	2	5	0	7
Aug 2019	5	6	0	11
Sep 2019	2	4	0	6
Oct 2019	4	8	1	13
Nov 2019	2	8	0	10
Dec 2019	5	4	0	9
Jan 2020	8	5	2	15
Feb 2020	4	5	0	9
Mar 2020	5	4	0	9
Apr 2020	4	5	0	9
May 2020	7	6	0	13
Jun 2020	17	4	0	21
Jul 2020	18	14	5	37
Aug 2020	7	6	4	17
Sep 2020	6	2	0	8
Oct 2020	7	14	0	21
Nov 2020	6	9	3	18
Dec 2020	18	7	0	25
Jan 2021	13	6	0	19
Feb 2021	7	8	0	15
Mar 2021	9	12	0	21
Apr 2021	5	6	0	11
May 2021	5	6	0	11
Jun 2021	7	4	0	11
Jul 2021	4	5	0	9
Aug 2021	5	4	0	9
Sep 2021	10	5	0	15
Oct 2021	5	17	2	24
Nov 2021	5	11	1	17
Dec 2021	14	6	0	20
Jan 2022	9	6	0	15
Feb 2022	6	8	5	19
Mar 2022	5	5	1	11
Apr 2022	3	4	1	8
May 2022	4	4	0	8
Jun 2022	7	6	0	13
Jul 2022	10	9	0	19
Aug 2022	12	3	0	15
Sep 2022	6	2	0	8
Oct 2022	10	5	1	16
Nov 2022	5	8	0	13
Dec 2022	7	7	0	14
Jan 2023	5	7	1	13
Feb 2023	13	2	0	15
Mar 2023	10	4	0	14
Apr 2023	6	5	0	11
May 2023	24	7	3	34
Jun 2023	28	3	1	32
Jul 2023	12	1	0	13
Aug 2023	7	2	1	10
Sep 2023	8	4	5	17
Oct 2023	6	11	0	17
Nov 2023	1	1	0	2
Dec 2023	16	8	2	26
Jan 2024	4	4	0	8
Feb 2024	3	4	2	9
Mar 2024	1	4	2	7
Apr 2024	7	3	1	11
May 2024	14	13	8	35
Jun 2024	31	7	2	40
Jul 2024	8	7	4	19
Aug 2024	13	3	2	18
Sep 2024	9	3	1	13
Oct 2024	15	2	4	21
Nov 2024	17	3	2	22
Dec 2024	15	6	3	24
Jan 2025	8	6	1	15
Feb 2025	8	22	0	30
Mar 2025	15	26	0	41
Apr 2025	11	4	0	15
May 2025	11	15	0	26
Jun 2025	40	12	0	52
Jul 2025	15	10	4	29
Aug 2025	21	18	0	39
Sep 2025	52	16	4	72
Oct 2025	32	16	3	51
Nov 2025	8	0	8

Latest update: 08 Nov 2025

Short summary

It is demonstrated that the statistical mechanical partition function can be used to construct various different forms of phase space distributions. This indicates that its structure is not restricted to the Gibbs–Boltzmann factor prescription based on counting statistics. Consequences concerning generalised Lorentzians and more general distribution functions are discussed.