dorsal/arxiv
View SchemaQuantum effect in the diffusion along a potential barrier: Comments on the synthesis of superheavy elements
| Authors | Noboru Takigawa, Sakir Ayik, Kouhei Washiyama, Sachie Kimura |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402104 |
| URL | https://arxiv.org/abs/nucl-th/0402104 |
| DOI | 10.1103/PhysRevC.69.054605 |
| Journal | Phys.Rev. C69 (2004) 054605 |
Abstract
We discuss a quantum effect in the diffusion process by developing a theory, which takes the finite curvature of the potential field into account. The transport coefficients of our theory satisfy the well-known fluctuation-dissipation theorem in the limit of Markovian approximation in the cases of diffusion in a flat potential and in a potential well. For the diffusion along a potential barrier, the diffusion coefficient can be related to the friction coefficient by an analytic continuation of the fluctuation-dissipation theorem for the case of diffusion along a potential well in the asymptotic time, but contains strong non-Markovian effects at short times. By applying our theory to the case of realistic values of the temperature, the barrier curvature, and the friction coefficient, we show that the quantum effects will play significant roles in describing the synthesis of superheavy elements, i.e., the evolution from the fusion barrier to the conditional saddle, in terms of a diffusion process. We especially point out the importance of the memory effect, which increases at lower temperatures. It makes the net quantum effects enhance the probability of crossing the conditional saddle.
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"abstract": "We discuss a quantum effect in the diffusion process by developing a theory,\nwhich takes the finite curvature of the potential field into account. The\ntransport coefficients of our theory satisfy the well-known\nfluctuation-dissipation theorem in the limit of Markovian approximation in the\ncases of diffusion in a flat potential and in a potential well. For the\ndiffusion along a potential barrier, the diffusion coefficient can be related\nto the friction coefficient by an analytic continuation of the\nfluctuation-dissipation theorem for the case of diffusion along a potential\nwell in the asymptotic time, but contains strong non-Markovian effects at short\ntimes. By applying our theory to the case of realistic values of the\ntemperature, the barrier curvature, and the friction coefficient, we show that\nthe quantum effects will play significant roles in describing the synthesis of\nsuperheavy elements, i.e., the evolution from the fusion barrier to the\nconditional saddle, in terms of a diffusion process. We especially point out\nthe importance of the memory effect, which increases at lower temperatures. It\nmakes the net quantum effects enhance the probability of crossing the\nconditional saddle.",
"arxiv_id": "nucl-th/0402104",
"authors": [
"Noboru Takigawa",
"Sakir Ayik",
"Kouhei Washiyama",
"Sachie Kimura"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.69.054605",
"journal_ref": "Phys.Rev. C69 (2004) 054605",
"title": "Quantum effect in the diffusion along a potential barrier: Comments on the synthesis of superheavy elements",
"url": "https://arxiv.org/abs/nucl-th/0402104"
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