2007 Fiscal Year Final Research Report Summary
Dynamics of Quantum Vortex in Superfluid and Superconductor
| Project/Area Number |
18540387
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Japan Atomic Energy Agency |
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Principal Investigator |
SASA Narimasa Japan Atomic Energy Agency, Center for Computational Science and e-System, Researcher (10360421)
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| Co-Investigator(Kenkyū-buntansha) |
MACHIDA Masahiko Japan Atomic Energy Agency, Center for Computational Science and e-System, Senior Researcher (60360434)
TSUBOTA Makoto Osaka City University, Graduate School of Science, Professor (10197759)
KOYAMA Tomio Tohoku University, Institute for Materials Research, Assistant (30153696)
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| Project Period (FY) |
2006 – 2007
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| Keywords | superfluid turbulence / vortex / kolmogorov / Gross-Pitaevskii / self-similarity / 自己相似構造 |
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| Research Abstract |
Aim of this research is to study dynamics of vortex and its statistical law in superfluid and superconductor. We numerically integrate the 3-D time-dependent Gross-Pitaevskii equation in order to examine how superfluid turbulent state dynamically changes from initial conditions fully complicated. The energy spectrum of the superfluid turbulence is studied numerically by change the system size from 256^3 to 2048^3. We confirm that the Kolmogorov's 5/3 low is valid in the system and the inertial range become wide with changing the system size. However, we find that the bottleneck effect of quantized vortex prevent the smooth energy cascade transferring from large scale to small one. A bump figure appears in the energy spectrum. We also find that the tangle state of quantized vortex make large scale self-similarity structure like a classical turbulence.
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