SUBDIFFUSION

作品数:7被引量:1H指数:1
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相关领域:理学更多>>
相关作者:罗开富更多>>
相关机构:中国科学技术大学更多>>
相关期刊:《Science China Mathematics》《Communications in Theoretical Physics》《Chinese Physics B》《Chinese Physics Letters》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>
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Second-order error analysis of the averaged L1 scheme L1 for time-fractional initial-value and subdiffusion problems
《Science China Mathematics》2024年第7期1641-1664,共24页Jinye Shen Fanhai Zeng Martin Stynes 
supported by National Natural Science Foundation of China (Grant Nos. 12101509, 12171283, 12171025 and NSAF-U1930402);the Science Foundation Program for Distinguished Young Scholars of Shandong (Overseas) (Grant No. 2022HWYQ-045)。
Fractional initial-value problems(IVPs) and time-fractional initial-boundary value problems(IBVPs), each with a Caputo temporal derivative of order α ∈(0, 1), are considered. An averaged variant of the well-known L1...
关键词:time-fractional SUBDIFFUSION averaged L1 scheme 
Reaction Subdiffusion with Random Waiting Time Depending on the Preceding Jump Length
《Chinese Physics Letters》2018年第9期19-23,共5页Hong Zhang Guo-Hua Li 
Supported by the National Natural Science Foundation of China under Grant No 11626047;the Foundation for Young Key Teachers of Chengdu University of Technology under Grant No KYGG201414
To describe the energy-dependent characteristics of the reaction-subdiffusion process, we analyze the simple reaction A--→B under subdiffsion with waiting time depending on the preceding jump length, and derive the c...
关键词:RDE Reaction Subdiffusion with Random Waiting Time Depending on the Preceding Jump Length LENGTH 
Anomalous and Normal Diffusion of Tracers in Crowded Environments: Effect of Size Disparity between Tracer and Crowders被引量:1
《Chinese Journal of Chemical Physics》2017年第2期147-152,I0001,共7页马义丁 罗开富 
This work is supported by the National Natural Science Foundation of China (No.21225421 and No.21474099), the National Basic Research Program of China (No.2014CB845605).
The dynamics of tracers in crowded matrix is of interest in various areas of physics, such as the diffusion of proteins in living cells. By using two-dimensional (2D) Langevin dynamics simulations, we investigate th...
关键词:SUBDIFFUSION Langevin dynamics simulations Size disparity 
Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials
《Chinese Physics Letters》2015年第1期5-9,共5页柏小东 薛具奎 
Supported by the National Natural Science Foundation of China under Grant Nos 11274255 and 11305132;the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grand No 20136203110001;the Natural Science Foundation of Gansu Province under Grant No 2011GS04358;the Creation of Science and Technology of Northwest Normal University under Grant Nos NWNU-KJCXGC-03-48 and NWNU-LKQN-12-12
Considering the discrete nonlinear Schrodinger model with dipole-dipole interactions (DDIs), we comparatively and numerically study the effects of contact interaction, DDI and disorder on the properties of diffusion...
关键词:Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials 
Confined subdiffusion in three dimensions
《Chinese Physics B》2014年第11期145-151,共7页覃善林 何勇 
supported by the National Natural Science Foundation of China(Grant No.21153002);the Fundamental Research Funds for the Central Universities of China(Grant No.2013zzts151)
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-avera...
关键词:confined subdiffusion three dimensions time-averaged mean squared displacement 
A Study on Stochastic Resonance in Biased Subdiffusive Smoluchowski Systems within Linear Response Range
《Communications in Theoretical Physics》2010年第8期292-296,共5页李逸娟 康艳梅 
Supported by the National Natural Science Foundation of China under Grant Nos.10602041 and 10972170
The method of matrix continued fraction is used to investigate stochastic resonance (SR) in the biasedsubdiffusive Smoluchowski system within linear response range.Numerical results of linear dynamic susceptibility an...
关键词:linear response SUBDIFFUSION stochastic resonance matrix continued fraction 
A selective view of stochastic inference and mod-eling problems in nanoscale biophysics
《Science China Mathematics》2009年第6期1181-1211,共31页KOU S.C. 
supported by the United States National Science Fundation Career Award (Grant No. DMS-0449204)
Advances in nanotechnology enable scientists for the first time to study biological pro-cesses on a nanoscale molecule-by-molecule basis.They also raise challenges and opportunities for statisticians and applied proba...
关键词:likelihood analysis Bayesian data augmentation semi-and NON-PARAMETRIC INFERENCE SINGLE-MOLECULE experiment SUBDIFFUSION generalized LANGEVIN equation fractional BROWNIAN motion stochastic network enzymatic reaction 
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