dorsal/arxiv
View SchemaProperties of resonant activation phenomena
| Authors | Marian Boguna, Josep M. Porra, Jaume Masoliver, Katja Lindenberg |
|---|---|
| Categories | |
| ArXiv ID | physics/9712036 |
| URL | https://arxiv.org/abs/physics/9712036 |
| DOI | 10.1103/PhysRevE.57.3990 |
Abstract
The phenomenon of resonant activation of a Brownian particle over a fluctuating barrier is revisited. We discuss the important distinctions between barriers that can fluctuate among "up" and "down" configurations, and barriers that are always "up" but that can fluctuate among different heights. A resonance as a function of the barrier fluctuation rate is found in both cases, but the nature and physical description of these resonances is quite distinct. The nature of the resonances, the physical basis for the resonant behavior, and the importance of boundary conditions are discussed in some detail. We obtain analytic expressions for the escape time over the barrier that explicitly capture the minima as a function of the barrier fluctuation rate, and show that our analytic results are in excellent agreement with numerical results.
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"abstract": "The phenomenon of resonant activation of a Brownian particle over a\nfluctuating barrier is revisited. We discuss the important distinctions between\nbarriers that can fluctuate among \"up\" and \"down\" configurations, and barriers\nthat are always \"up\" but that can fluctuate among different heights. A\nresonance as a function of the barrier fluctuation rate is found in both cases,\nbut the nature and physical description of these resonances is quite distinct.\nThe nature of the resonances, the physical basis for the resonant behavior, and\nthe importance of boundary conditions are discussed in some detail. We obtain\nanalytic expressions for the escape time over the barrier that explicitly\ncapture the minima as a function of the barrier fluctuation rate, and show that\nour analytic results are in excellent agreement with numerical results.",
"arxiv_id": "physics/9712036",
"authors": [
"Marian Boguna",
"Josep M. Porra",
"Jaume Masoliver",
"Katja Lindenberg"
],
"categories": [
"physics.chem-ph",
"math-ph",
"math.MP",
"physics.class-ph"
],
"doi": "10.1103/PhysRevE.57.3990",
"title": "Properties of resonant activation phenomena",
"url": "https://arxiv.org/abs/physics/9712036"
},
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