dorsal/arxiv
View SchemaInclusion of Quantum Fluctuations in Wave Packet Dynamics
| Authors | A. Ohnishi, J. Randrup |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9604040 |
| URL | https://arxiv.org/abs/nucl-th/9604040 |
| DOI | 10.1006/aphy.1996.5626 |
| Journal | Annals Phys. 253 (1997) 279-309 |
Abstract
We discuss a method by which quantum fluctuations can be included in microscopic transport models based on wave packets that are not energy eigenstates. By including the next-to-leading order term in the cumulant expansion of the statistical weight, which corresponds to the wave packets having Poisson energy distributions, we obtain a much improved global description of the quantum statistical properties of the many-body system. In the case of atomic nuclei, exemplified by 12C and 40Ca, the standard liquid-drop results are reproduced at low temperatures and a phase transformation to a fragment gas occurs as the temperature is raised. The treatment can be extended to dynamical scenarios by means of a Langevin force emulating the transitions between the wave packets. The general form of the associated transport coefficients is derived and it is shown that the appropriate microcanonical equilibrium distribution is achieved in the course of the time evolution. Finally, invoking Fermi's golden rule, we derive specific expressions for the transport coefficients and verify that they satisfy the fluctuation-dissipation theorem.
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"abstract": "We discuss a method by which quantum fluctuations can be included in\nmicroscopic transport models based on wave packets that are not energy\neigenstates. By including the next-to-leading order term in the cumulant\nexpansion of the statistical weight, which corresponds to the wave packets\nhaving Poisson energy distributions, we obtain a much improved global\ndescription of the quantum statistical properties of the many-body system. In\nthe case of atomic nuclei, exemplified by 12C and 40Ca, the standard\nliquid-drop results are reproduced at low temperatures and a phase\ntransformation to a fragment gas occurs as the temperature is raised. The\ntreatment can be extended to dynamical scenarios by means of a Langevin force\nemulating the transitions between the wave packets. The general form of the\nassociated transport coefficients is derived and it is shown that the\nappropriate microcanonical equilibrium distribution is achieved in the course\nof the time evolution. Finally, invoking Fermi\u0027s golden rule, we derive\nspecific expressions for the transport coefficients and verify that they\nsatisfy the fluctuation-dissipation theorem.",
"arxiv_id": "nucl-th/9604040",
"authors": [
"A. Ohnishi",
"J. Randrup"
],
"categories": [
"nucl-th"
],
"doi": "10.1006/aphy.1996.5626",
"journal_ref": "Annals Phys. 253 (1997) 279-309",
"title": "Inclusion of Quantum Fluctuations in Wave Packet Dynamics",
"url": "https://arxiv.org/abs/nucl-th/9604040"
},
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