The DOI matches its Crossref record.
Thermally activated escape rate in presence of long-time memory
Open accessAbstract
Kramers's original modeling of the thermally activated escape rate over a barrier is general- ized for Brownian-motion theory with long-time memory.The problem of the decay of a metastable state presents a central role in many areas of science, most notably in chemical kinetics, electron transport in semiconductors, and nonlinear optics.Limiting the discussion to one-dimensional systems, the problem can essentially be modeled by a "Brownian particle" moving in a double-well potential g (see Fig. 1).This model has been popular since Kramers's original Fokker-Planck approach.' Since Kramers, a number of investigators have improved and clarified several points: We mention the extension to the decay of a metastable state in driven nonequilibrium systems with nonuniform diffusion, ' the results for multidi-
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
Cited by
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
Metzler, R., Jeon, J.-H., Cherstvy, A. G., & Barkai, E. (2014) · Phys. Chem. Chem. Phys. · doi:10.1039/c4cp03465a · Cited by 1,765
Metadata
- Authors
- Hanggi, P., & Mojtabai, F.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1982-08-01
- Volume
- 26
- Issue
- 2
- Pages
- 1168-1170
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2039640860
- Cited by
- 239
- References
- 0
- FWCI
- 9.73
- 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: Thermally activated escape rate in presence of long-time memory. https://app.cochat.ai/papers/10.1103/physreva.26.1168
- The paper
- Hanggi, P., & Mojtabai, F. (1982). Thermally activated escape rate in presence of long-time memory. Physical Review A. https://doi.org/10.1103/physreva.26.1168
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.
