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Diffusion and Localization of a Particle in a Periodic Potential Coupled to a Dissipative Environment
Abstract
The phase diagram of a Hamiltonian which describes a particle moving in a periodic potential and coupled to an external heat bath has been analyzed in detail. By renormalization-group methods, it is proved that this system exhibits an unusual transition between diffusive behavior and a self-trapped phase. The dynamics along the transition line is shown to be integrable and the order parameter, the mobility, is computed exactly.
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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
Dynamics of the dissipative two-state system
Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., & Zwerger, W. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1 · Cited by 5,109
Coherent and collective quantum optical effects in mesoscopic systems
Brandes, T. (2005) · Physics Reports · doi:10.1016/j.physrep.2004.12.002 · Cited by 434
Nonzero-temperature transport near quantum critical points
Damle, K., & Sachdev, S. (1997) · Physical Review B · doi:10.1103/physrevb.56.8714 · Cited by 312
Quantum theory of a free particle interacting with a linearly dissipative environment
Hakim, V., & Ambegaokar, V. (1985) · Physical Review A · doi:10.1103/physreva.32.423 · Cited by 309
Self-citation
Metadata
- Authors
- Guinea, F., Hakim, V., & Muramatsu, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1985-01-28
- Volume
- 54
- Issue
- 4
- Pages
- 263-266
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2090449882
- Cited by
- 214
- References
- 0
- FWCI
- 8.73
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Diffusion and Localization of a Particle in a Periodic Potential Coupled to a Dissipative Environment. https://app.cochat.ai/papers/10.1103/physrevlett.54.263
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- Guinea, F., Hakim, V., & Muramatsu, A. (1985). Diffusion and Localization of a Particle in a Periodic Potential Coupled to a Dissipative Environment. Physical Review Letters. https://doi.org/10.1103/physrevlett.54.263
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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.
