The DOI matches its Crossref record; 126 of the 126 references it cites were found in a registry or an index.
Thermal fluctuations of magnetic nanoparticles: Fifty years after Brown
Open accessAbstract
The reversal time, superparamagnetic relaxation time, of the magnetization of fine single domain ferromagnetic nanoparticles owing to thermal fluctuations plays a fundamental role in information storage, paleomagnetism, biotechnology, etc. Here a comprehensive tutorial-style review of the achievements of fifty years of development and generalizations of the seminal work of Brown [Phys. Rev. 130, 1677 (1963)] on thermal fluctuations of magnetic nanoparticles is presented. Analytical as well as numerical approaches to the estimation of the damping and temperature dependence of the reversal time based on Brown's Fokker-Planck equation for the evolution of the magnetic moment orientations on the surface of the unit sphere are critically discussed while the most promising directions for future research are emphasized.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Methods of Theoretical Physics
Morse, P. M., Feshbach, H., & Hill, E. L. (1954) · American Journal of Physics · doi:10.1119/1.1933765 · Cited by 13,197
The Fokker-Planck Equation: Methods of Solution and Applications
Risken, H. (1996) · Springer Series in Synergetics · doi:10.1007/978-3-642-61544-3 · Cited by 9,056
Brownian motion in a field of force and the diffusion model of chemical reactions
Kramers, H. A. (1940) · Physica · doi:10.1016/s0031-8914(40)90098-2 · Cited by 8,625
Table of Integrals, Series and Products.
L., Y., Gradshteyn, I. S., & Ryzhik, I. M. (1981) · Mathematics of Computation · doi:10.2307/2007757 · Cited by 8,436
Current-driven excitation of magnetic multilayers
Slonczewski, J. C. (1996) · Journal of Magnetism and Magnetic Materials · doi:10.1016/0304-8853(96)00062-5 · Cited by 6,825
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
Handbook of Stochastic Methods
Gardiner, C. W. (1983) · Springer Series in Synergetics · doi:10.1007/978-3-662-02377-8 · Cited by 5,961
Gammaitoni, L., Hänggi, P., Jung, P., & Marchesoni, F. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.223 · Cited by 5,443
A mechanism of magnetic hysteresis in heterogeneous alloys
Stoner, E. C., & Wohlfarth, E. P. (1948) · Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences · doi:10.1098/rsta.1948.0007 · Cited by 5,405
Emission of spin waves by a magnetic multilayer traversed by a current
Berger, L. (1996) · Physical Review B · doi:10.1103/physrevb.54.9353 · Cited by 4,898
Cited by
Fundamentals and advances in magnetic hyperthermia
Périgo, E. A., Hemery, G., Sandre, O., Ortega, D., Garaio, E., Plazaola, F., & Teran, F. J. (2015) · Applied Physics Reviews · doi:10.1063/1.4935688 · Cited by 836
Dutz, S., & Hergt, R. (2013) · International Journal of Hyperthermia · doi:10.3109/02656736.2013.822993 · Cited by 522
Cancer therapy with iron oxide nanoparticles: Agents of thermal and immune therapies
Soetaert, F., Korangath, P., Serantes, D., Fiering, S., & Ivkov, R. (2020) · Advanced Drug Delivery Reviews · doi:10.1016/j.addr.2020.06.025 · Cited by 406
Branquinho, L. C., Carrião, M. S., Costa, A. S., Zufelato, N., Sousa, M. H., Miotto, R., Ivkov, R., & Bakuzis, A. F. (2013) · Scientific Reports · doi:10.1038/srep02887 · Cited by 395
Metadata
- Authors
- Coffey, W. T., & Kalmykov, Y. P.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 2012-12-15
- Volume
- 112
- Issue
- 12
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W1850225302
- Cited by
- 282
- References
- 126
- FWCI
- 9.94
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Thermal fluctuations of magnetic nanoparticles: Fifty years after Brown. https://app.cochat.ai/papers/10.1063/1.4754272
- The paper
- Coffey, W. T., & Kalmykov, Y. P. (2012). Thermal fluctuations of magnetic nanoparticles: Fifty years after Brown. Journal of Applied Physics. https://doi.org/10.1063/1.4754272
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.