| Confined subdiffusion in three dimensions |
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| 作者姓名： | 覃善林 何勇 |
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| 作者单位： | Hunan Key Laboratory for Super-microstructure and Ultrafast Process, Institute of Super Microstructure and Ultrafast Process in Advanced Materials,School of Physics and Electronics, Central South University |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant No. 21153002） and the Fundamental Research Funds for the Central Universities of China （Grant No. 2013zzts 151）. |
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| 摘 要： | Three-dimensional （3D） Fick＇s diffusion equation and fractional diffusion equation are solved for different reflecting boundaries. We use the continuous time random walk model （CTRW） to investigate the time-averaged mean square dis- placement （MSD） of a 3D single particle trajectory. Theoretical results show that the ensemble average of the time-averaged MSD can be expressed analytically by a Mittag-Leffler function. Our new expression is in agreement with previous formu- las in two limiting cases： （^-δ2） ~ △1 in short lag time and （^-δ2} ~ △1 -α in long lag time. We also simulate the experimental data of mRNA diffusion in living E. coli using a 3D CTRW model under confined and crowded conditions. The simulation results are well consistent with experimental results. The calculations of power spectral density （PSD） further indicate the subdiffsive behavior of an individual trajectory.
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| 关 键 词： | 扩散方程 三维空间 密闭 3D模型 时间平均 CTRW 实验数据 大肠杆菌 |
Confined subdiffusion in three dimensions |
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| Qin Shan-Lin and He Yong.Confined subdiffusion in three dimensions[J].Chinese Physics B,2014(11):149-155. |
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| Authors: | Qin Shan-Lin and He Yong |
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| Institution: | Hunan Key Laboratory for Super-microstructure and Ultrafast Process, Institute of Super Microstructure and Ultrafast Process in Advanced Materials, School of Physics and Electronics, Central South University, Changsha 41 O012, China |
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| Abstract: | confined subdiffusion, three dimensions, time-averaged mean squared displacement |
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| Keywords: | confined subdiffusion three dimensions time-averaged mean squared displacement |
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