Journal rankings · indicator year 2021
Choose a field to open its ranking, or a journal to find its row in its subfield’s list.
Subfield ranking · 2021
Statistical and Nonlinear Physics journal rankings 2021
45 ranked journals · Subfield in Physics and Astronomy
Statistical and Nonlinear Physics has 45 ranked journals in 2021. The median OJR fell 0.16 on 2020 to 0.71, below the world average of 1.00; Q1 starts at OJR 1.23. The top three are Chaos Solitons & Fractals, Computational Social Networks, and SIAM Review.
Ranks and citation indicators: 2021. Journal access status and listed APC: source snapshot September 23, 2026.
Journals whose main subfield sits in this category and that published at least 30 citable documents (articles, reviews and conference papers) in 2018–2020, the window the 2021 score is computed on.
The OpenJournalRank Indicator (OJR) is a free, publicly available metric of a journal’s field-normalized citation impact, computed from open OpenAlex citation data. It compares citations to a journal’s papers from the previous three years with the world average for papers of the same subfield, year and type, so 1.00 is the world average and values can be compared across fields. It is computed with the NCI3 method.
The middle OJR among ranked journals in this category: half score higher, half lower. 1.00 is the world average for papers of the same subfield, year and type.
The dot is this category, the solid tick is the median of all ranked journals and the dashed line is the world average.
Share of ranked journals in this category that are fully open access, so every paper is free to read. Hybrid journals, which sell subscriptions and open single papers for a fee, are not counted.
Median list price of the article processing charge, in US dollars, among ranked journals in this category that list a price above zero. Journals with a listed APC of $0 and journals with no known price are left out of this median. The At a glance table below gives a second median that includes the $0 prices.
Subfields of Physics and Astronomy (8)
45 ranked journals
Filters
Rank is the position by OJR within the list on screen; 1 is the highest. | OJR is field-normalized 3-year citation impact: 1.00 is the world average for papers of the same subfield, year and type, so values compare across fields. The badge is the journal’s quartile in this list. | Citations per paper over a two-year window, counted from OpenAlex. It is not field-normalized, so compare it only between journals of the same field. ▲ or ▼ is the change from 2020. This is OpenJournalRank’s own count, not Clarivate’s Journal Impact Factor. | Citable documents (articles, reviews and conference papers) published in 2018–2020, the window the 2021 OJR is computed on. A journal needs at least 30 to be ranked. | Share of the journal’s 2018–2020 papers that are free to read in any open-access form. The green OA tag next to a title marks a fully open-access journal. | List price of the article processing charge in US dollars. “$0 listed” means the listed price is zero; a dash means no price is listed. | The line is the journal’s OJR from 2012 to 2021. | Compare |
|---|---|---|---|---|---|---|---|
1Chaos Solitons & FractalsElsevier BV · United Kingdom | 2.30Q1 | 11.04 4.81 up from 2020 | 1,852 | 24% | $3,970 | ||
2Computational Social NetworksSpringer Science+Business Media · Germany | 2.28Q1 | 7.85 4.89 up from 2020 | 32 | 100% | $1,190 | ||
3SIAM ReviewSociety for Industrial and Applied Mathematics · United States | 2.09Q1 | 4.17 0.73 down from 2020 | 123 | 53% | — | ||
4Journal of Artificial Societies and Social SimulationOAUniversity of Surrey · United Kingdom | 2.01Q1 | 4.80 1.87 up from 2020 | 134 | 100% | $1,300 | ||
5Nonlinear DynamicsSpringer Science+Business Media · Netherlands | 1.69Q1 | 5.96 0.77 up from 2020 | 2,053 | 26% | $4,790 | ||
6Communications in Nonlinear Science and Numerical SimulationElsevier BV · United Kingdom | 1.49Q1 | 4.09 0.15 down from 2020 | 1,122 | 40% | $3,710 | ||
7Applied Mathematics LettersElsevier BV · United States | 1.47Q1 | 3.94 0.18 down from 2020 | 1,195 | 81% | $3,800 | ||
8Physica A Statistical Mechanics and its ApplicationsElsevier BV · Netherlands | 1.39Q1 | 3.88 0.47 up from 2020 | 4,256 | 33% | $3,550 | ||
9Physica D Nonlinear PhenomenaElsevier BV · Netherlands | 1.38Q1 | 4.41 2.24 up from 2020 | 432 | 61% | $3,640 | ||
10Advanced Modeling and Simulation in Engineering SciencesOASpringer Science+Business Media · Netherlands | 1.29Q1 | 2.90 0.04 up from 2020 | 91 | 100% | $1,890 | ||
11Results in PhysicsOAElsevier BV · Netherlands | 1.24Q1 | 4.88 0.38 up from 2020 | 2,573 | 100% | $1,920 | ||
12Journal of Nonlinear ScienceSpringer Science+Business Media · United States | 1.23Q1 | 3.19 0.08 up from 2020 | 222 | 67% | $3,290 | ||
13Journal of Ocean Engineering and ScienceOAElsevier BV · China | 1.20Q2 | 5.56 2.48 up from 2020 | 122 | 100% | $0 listed | ||
14Proceedings of the Royal Society A Mathematical Physical and Engineering SciencesRoyal Society · United Kingdom | 1.20Q2 | 3.55 0.63 up from 2020 | 827 | 68% | — | ||
15Chaos An Interdisciplinary Journal of Nonlinear ScienceAmerican Institute of Physics · United States | 1.16Q2 | 3.78 0.09 down from 2020 | 1,580 | 47% | — | ||
16Applied Network ScienceOASpringer Nature · Switzerland | 1.12Q2 | 3.01 0.79 up from 2020 | 273 | 100% | $1,690 | ||
17Network ScienceCambridge University Press · United States | 1.09Q2 | 2.65 1.80 up from 2020 | 121 | 89% | $3,550 | ||
18Journal of Non-Equilibrium ThermodynamicsDe Gruyter · Germany | 1.04Q2 | 3.99 0.08 down from 2020 | 98 | 50% | $2,712 | ||
19International Journal of Bifurcation and ChaosWorld Scientific · Singapore | 0.94Q2 | 2.58 0.39 down from 2020 | 789 | 15% | — | ||
20Studies in Applied MathematicsWiley · United States | 0.88Q2 | 2.21 0.03 up from 2020 | 143 | 39% | $4,550 | ||
21Physical review. EAmerican Physical Society · United States | 0.79Q2 | 2.83 0.08 up from 2020 | 6,148 | 69% | — | ||
22SIAM Journal on Applied Dynamical SystemsSociety for Industrial and Applied Mathematics · United States | 0.74Q2 | 1.99 0.25 down from 2020 | 249 | 59% | — | ||
23Journal of Statistical Mechanics Theory and ExperimentInstitute of Physics · United Kingdom | 0.71Q2 | 2.25 0.02 down from 2020 | 985 | 90% | $3,290 | ||
24Wave MotionElsevier BV · Netherlands | 0.68Q3 | 2.16 0.25 up from 2020 | 303 | 32% | $3,640 | ||
25Regular and Chaotic DynamicsPleiades Publishing · Russia | 0.67Q3 | 1.82 0.09 up from 2020 | 158 | 42% | — | ||
26Journal of Complex NetworksOxford University Press · United Kingdom | 0.57Q3 | 1.29 0.59 down from 2020 | 136 | 54% | $4,533 | ||
27European Journal of Applied MathematicsOACambridge University Press · United Kingdom | 0.56Q3 | 1.34 0.19 up from 2020 | 145 | 61% | $3,550 | ||
28Journal of Physics ComplexityOAIOP Publishing · United Kingdom | 0.46Q3 | 1.43no 2020 value | 46 | 100% | $2,600 | — | |
29Advances in Mathematical PhysicsOAHindawi Publishing Corporation · United Kingdom | 0.46Q3 | 1.66 0.51 up from 2020 | 357 | 100% | $2,830 | ||
30Journal of Nonlinear Mathematical PhysicsSpringer Nature · United Kingdom | 0.43Q3 | 1.00 0.13 up from 2020 | 133 | 96% | $1,490 | ||
31American Journal of PhysicsAmerican Institute of Physics · United States | 0.42Q3 | 1.14 0.16 down from 2020 | 459 | 50% | — | ||
32International Journal of Modern Physics CWorld Scientific · Singapore | 0.37Q3 | 1.43 0.35 up from 2020 | 511 | 8% | — | ||
33Theoretical and Mathematical PhysicsPleiades Publishing · Germany | 0.34Q3 | 0.81 0.31 down from 2020 | 380 | 24% | — | ||
34Journal of Integrable SystemsUniversity of Oxford · United Kingdom | 0.34Q3 | 0.50 0.32 down from 2020 | 39 | — | — | ||
35Advances in Complex SystemsWorld Scientific · Singapore | 0.34Q4 | 1.11 0.05 down from 2020 | 269 | 6% | — | ||
36Physics EducationIOP Publishing · United Kingdom | 0.33Q4 | 1.08 0.37 up from 2020 | 620 | 43% | $3,325 | ||
37Reports on Mathematical PhysicsElsevier BV · Netherlands | 0.33Q4 | 0.83 0.08 up from 2020 | 148 | 35% | $3,000 | ||
38Journal of Mathematical Sciences and ModellingOASüleyman Demirel University · Türkiye | 0.32Q4 | 0.56 0.01 up from 2020 | 57 | 100% | — | ||
39European Journal of PhysicsIOP Publishing · United Kingdom | 0.27Q4 | 0.83 0.13 down from 2020 | 660 | 52% | $3,325 | ||
40WSEAS Transactions on Mathematics archivePublisher not listed | 0.23Q4 | 0.68 0.35 down from 2020 | 64 | — | — | ||
41Journal of Nonlinear Optical Physics & MaterialsWorld Scientific · Singapore | 0.23Q4 | 1.00no change | 99 | 0% | — | ||
42Notes on Number Theory and Discrete MathematicsOABulgaria | 0.21Q4 | 0.47 0.08 up from 2020 | 225 | 100% | — | ||
43The Physics TeacherAmerican Association of Physics Teachers · United States | 0.20Q4 | 0.55 0.12 up from 2020 | 918 | 11% | — | ||
44Journal of Applied Mathematics and PhysicsOAScientific Research Publishing · United States | 0.17Q4 | 0.43 0.02 down from 2020 | 677 | 100% | — | ||
45The Physics EducatorWorld Scientific · Singapore | 0.16Q4 | 0.54 0.31 up from 2020 | 48 | 13% | — |
Subfields of Physics and Astronomy, with Statistical and Nonlinear Physics highlighted.
- Astronomy and Astrophysics117
- Atomic and Molecular Physics, and Optics103
- Nuclear and High Energy Physics76
- Statistical and Nonlinear Physics45
- Radiation29
- Condensed Matter Physics8
- Instrumentation1
- Acoustics and Ultrasonics0
Journals
Citations made in 2021. Corpus-wide, 87.7% of core-journal articles and reviews published that year have at least one matched reference; the share varies by journal and field.
15 additional Statistical and Nonlinear Physics journals with metrics are unranked under this release’s eligibility rules: a journal needs at least 30 citable documents in 2018–2020, at least 80% of them with a subfield, and a positive world-average expectation. Ranks are within the whole category; filters hide rows without re-ranking. OJR excludes self-citations.
At a glance
Indicator year: 2021. Publication window: 2018–2020. How these summaries are calculated
- Ranked journals
- 45
- Window papers (baseline)
- 39,593 +10.8% from indicator year 2018
- Median OJR
- 0.71 -23.2% from indicator year 2018
- Rising journals (2025)
- 4
Window papers are the baseline paper population: citable papers (articles, reviews and conference papers) from 2018–2020 in all journals of the world-average baseline, including non-core journals, counted by each paper’s own subfield. They are not the papers of the ranked journals alone.
| Measure | Year series | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Ranked journals | 28 | 30 | 31 | 30 | 30 | 31 | 31 | 30 | 30 | 31 | 30 | 33 | 34 | 34 | 36 | 37 | 39 | 43 | 43 | 45 | 43 | 45 | 44 | 47 | 48 | 49 | |
| Window papers (baseline) | 17,200 | 17,922 | 18,793 | 20,160 | 21,241 | 22,294 | 24,061 | 25,936 | 27,661 | 28,618 | 29,355 | 30,335 | 31,430 | 32,383 | 33,840 | 35,268 | 36,051 | 35,941 | 35,726 | 36,681 | 38,080 | 39,593 | 41,294 | 42,139 | 42,544 | 43,309 | |
| Median OJR | 0.721 | 0.70 | 0.95 | 0.9637 | 0.92 | 1.02 | 0.976 | 0.980 | 1.10 | 1.09 | 1.27 | 1.14 | 0.89 | 0.9640 | 0.94 | 1.08 | 0.97 | 1.002 | 0.93 | 0.82 | 0.88 | 0.71 | 0.717 | 0.68 | 0.64 | 0.67 |
How to read these rankings
- OJR, the OpenJournalRank Indicator
- A field-normalized 3-year citation impact, computed from OpenAlex with the NCI3 method. It divides the citations a journal’s papers received by the world average for papers of the same subfield, year and type, so 1.00 is the world average and 2.00 means twice as many citations as expected. Because it is normalized, it can be compared across fields. Read the methodology
- Quartiles
- Q1 to Q4 split the ranked journals of the list you are viewing into four equal groups by OJR. A journal’s quartile depends on the list: the same journal can be Q1 in its subfield and Q2 among all journals.
- Impact factor (2-year)
- Citations per paper over a two-year window, counted from OpenAlex. It is easy to compare with familiar impact factors but is not field-normalized, so compare it only within a field. It is not Clarivate’s Journal Impact Factor. Why it differs from the Journal Impact Factor
- Rank ranges
- Each rank in the latest year carries a likely range from 1,000 resamples of the journal’s papers. Where two journals’ ranges overlap, the data cannot tell them apart, so treat neighbouring ranks as ties.