Modeling anisotropic Maxwell–Jüttner distributions: derivation and properties

Livadiotis, George

doi:10.5194/angeo-34-1145-2016

Articles | Volume 34, issue 12

https://doi.org/10.5194/angeo-34-1145-2016

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

https://doi.org/10.5194/angeo-34-1145-2016

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

Articles | Volume 34, issue 12

Regular paper

|

02 Dec 2016

Regular paper |

| 02 Dec 2016

Modeling anisotropic Maxwell–Jüttner distributions: derivation and properties

George Livadiotis

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Jan 2025	34	49	0	83
Feb 2025	25	8	0	33
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Apr 2025	13	11	1	25
May 2025	47	17	2	66
Jun 2025	44	14	0	58
Jul 2025	24	17	2	43
Aug 2025	18	15	1	34
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Oct 2025	31	25	2	58
Nov 2025	33	31	1	65
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Jan 2026	37	35	2	74
Feb 2026	23	10	1	34

Cumulative views and downloads (calculated since 02 Dec 2016)

Month	HTML	PDF	XML	Total
Dec 2016	51	20	2	73
Jan 2017	41	11	0	52
Feb 2017	10	1	0	11
Mar 2017	20	2	0	22
Apr 2017	24	7	0	31
May 2017	32	14	2	48
Jun 2017	25	2	0	27
Jul 2017	20	5	0	25
Aug 2017	10	7	0	17
Sep 2017	7	5	0	12
Oct 2017	10	8	0	18
Nov 2017	16	13	1	30
Dec 2017	7	7	0	14
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Feb 2018	8	1	0	9
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Dec 2022	34	5	0	39
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Feb 2023	16	7	2	25
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Apr 2023	7	13	0	20
May 2023	29	11	4	44
Jun 2023	35	6	1	42
Jul 2023	22	10	2	34
Aug 2023	13	8	2	23
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Feb 2024	6	11	3	20
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May 2024	16	16	5	37
Jun 2024	27	7	2	36
Jul 2024	16	6	4	26
Aug 2024	17	12	5	34
Sep 2024	11	21	1	33
Oct 2024	18	26	6	50
Nov 2024	25	30	2	57
Dec 2024	7	18	0	25
Jan 2025	34	49	0	83
Feb 2025	25	8	0	33
Mar 2025	17	20	1	38
Apr 2025	13	11	1	25
May 2025	47	17	2	66
Jun 2025	44	14	0	58
Jul 2025	24	17	2	43
Aug 2025	18	15	1	34
Sep 2025	18	10	4	32
Oct 2025	31	25	2	58
Nov 2025	33	31	1	65
Dec 2025	41	39	2	82
Jan 2026	37	35	2	74
Feb 2026	23	10	1	34

Latest update: 12 Feb 2026

Short summary

The paper develops a consistent model for the anisotropic Maxwell–Jüttner distribution. This is the velocity distribution in a gas of relativistic particles, where the temperature is not equi-distributed in all degrees of freedom. The physical requirements necessary for modeling this distribution are provided. The known models are examined showing that they do not fulfill these requirements, while a new model is constructed and studied that is consistent with all the required conditions.