Temporal Asymptotic Form of the Survival Probability in the Effective Medium Approximation for Trapping of Particles in Media with Anomalous Diffusion

Journal of Experimental and Theoretical Physics - The capture of particles diffusing anomalously in accordance with a power law in absorbing traps is analyzed in the effective medium approximation....     

Erratum to: Temporal Asymptotic Form of the Survival Probability in the Effective Medium Approximation for Trapping of Particles in Media with Anomalous Diffusion

Journal of Experimental and Theoretical Physics - erratum     

Universal Temporal Dependence of Survival Probability for Diffusing Particles in Multidimensional Media with Absorbing Traps in an Electric Field

The effect of electric-field-induced reduction of the “effective” dimension is detected in the multidimensional problem of diffusion in a medium with absorbing traps. An effective transition to the 1D case occurs due to directional motion of a particle when it begins to dominate over diffusion. A universal “1D” dependence of the particle survival probability in a multidimensional medium with absorbing traps over long times has been established.     

Survival of Classical and Quantum Particles in the Presence of Traps

We present a detailed comparison of the motion of a classical and of a quantum particle in the presence of trapping sites, within the framework of continuous-time classical and quantum random walk. The main emphasis is on the qualitative differences in the temporal behavior of the survival probabilities of both kinds of particles. As a general rule, static traps are far less efficient to absorb quantum particles than classical ones. Several lattice geometries are successively considered: an infinite chain with a single trap, a finite ring with a single trap, a finite ring with several traps, and an infinite chain and a higher-dimensional lattice with a random distribution of traps with a given density. For the latter disordered systems, the classical and the quantum survival probabilities obey a stretched exponential asymptotic decay, albeit with different exponents. These results confirm earlier predictions, and the corresponding amplitudes are evaluated. In the one-dimensional geometry of the infinite chain, we obtain a full analytical prediction for the amplitude of the quantum problem, including its dependence on the trap density and strength.     

纳米颗粒在复杂生物介质中的反常扩散

由于生物微环境中存在各向异性等复杂物理因素影响,纳米颗粒在其中的扩散运动表现出反常的特征.反常扩散与生物微环境的功能实现有重要的关联,同时也是流体力学在微纳尺度方向的重要扩展.该综述系统介绍了近年来反常扩散研究的进展,从物理模型、数值模拟、测量方法及实验现象等方面揭示了纳米颗粒在复杂生物介质中的反常扩散机理及特征.该问题在微纳尺度流体力学、生物物理等领域是研究的热点,在理论上和实验时仍有重大挑战,有待进一步深入研究.      

Scaling in the Problem of Capture of Diffusing Particles in Absorbing Traps in an Electric Field

Journal of Experimental and Theoretical Physics - The asymptotic form of particle survival probability in media with absorbing traps in an electric field has been analyzed. The asymptotic behavior...     

On the Influence of Magnetic Field on the Probability of Diffusing Particle Capture by Absorbing Traps

Journal of Experimental and Theoretical Physics - The influence of a magnetic field on the capture of diffusing particles into traps is considered. It is shown that the survival probability for...     

介质中含孤立发光中心的纳米粒子的辐射寿命概率分布

含发光中心的纳米粒子在介质中随机分布,造成局域介质相对折射率的随机分布,导致了纳米粒子辐射寿命的涨落.分析纳米粒子数量在线度为发射光波长量级的体积内的概率密度,由此得出局域介质相对折射率的概率密度.通过纳米粒子辐射寿命对折射率的依赖关系,得到纳米粒子辐射寿命概率密度的解析表达.在此基础上,分析了Meltzer等人的实验中,含Eu³⁺离子的Y₂O₃粒子在甲醇溶液中辐射寿命的相对偏移量的涨落,并得出辐射寿命的不确定度(均方差)与纳米粒子体积、体积密度等物理量的关系.     

Detection of Anomalous Diffusion with Deep Residual Networks

Identification of the diffusion type of molecules in living cells is crucial to deduct their driving forces and hence to get insight into the characteristics of the cells. In this paper, deep residual networks have been used to classify the trajectories of molecules. We started from the well known ResNet architecture, developed for image classification, and carried out a series of numerical experiments to adapt it to detection of diffusion modes. We managed to find a model that has a better accuracy than the initial network, but contains only a small fraction of its parameters. The reduced size significantly shortened the training time of the model. Moreover, the resulting network has less tendency to overfitting and generalizes better to unseen data.     

Electron Traps with a Wide Range of Capture Cross Sections in Powdery ZnS-Based Luminophors

Using the method of thermally stimulated luminescence, the phenomenon of spatial modulation of the capture cross section (S_t) of electron traps with a level of E_c − 0.18 eV in powdery luminophors Zn_0.97Cd_0.03S 〈Cu, Cl〉 with green luminescence and ZnS〈Ag, Cl〉 with blue luminescence by a collective electric field of macroinhomogeneity has been investigated. The maximum value of the effect (width of the range of values of S_t) attains five orders of magnitude, with the size of the powder grains being of order 1 µm. A model is suggested, according to which traps with E_c − 0.18 eV with an extended range of values of S_t represent an isolated anionic vacancy in a region of the collective field of macroscopic inhomogeneity that is the negatively charged surface of the powder grains. The extension of the range of values of S_t is the result of modulation of the kinetic parameters of electron traps E_c − 0.18 eV depending on the spatial position occupied by the anionic vacancy relative to the surface of the powder grains.__________Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 72, No. 2, pp. 202–206, March–April, 2005.     

An Analytical Study of Fractional Klein–Kramers Approximations for Describing Anomalous Diffusion of Energetic Particles

Journal of Statistical Physics - In this article, anomalous transport models of energetic particles in space plasmas are developed by deriving the fractional force-less Fokker–Planck equation...     

Conservative Interacting Particles System with Anomalous Rate of Ergodicity

We analyse certain conservative interacting particle system and establish ergodicity of the system for a family of invariant measures. Furthermore, we show that convergence rate to equilibrium is exponential. This result is of interest because it presents counterexample to the standard assumption of physicists that conservative system implies polynomial rate of convergence. The system in question is stochastic rather than deterministic.     

Anomalous Diffusion in a Model with a Variable Percolation Radius

Anomalous diffusion models for random 1-D cluster and comb structures of length L = 100 with finite fingers and different boundary conditions are considered. The effect of electric field on anomalous diffusion is discussed. The cases with different percolation radii are compared. The comb-structure model with periodic boundary conditions is shown to be useful in studying various types of anomalous diffusion. A new diffusion type, where the average rate is higher than the typical rate, is predicted. Physical causes for this diffusion are revealed.     

Anomalous Dimension in the Solution of a Nonlinear Diffusion Equation

A new method is used to obtain the anomalous dimension in the solution of the nonlinear diffusion equation.The result is the same as that in the renormalization group (RG) approach.It gives us an insight into the anomalous dimension in the solution of the nonlinear diffusion equation in the RG approach.Based on this discussion,we can see anomalous dimension appears naturally in this system.``     

Anomalous Dimension in the Solution of a Nonlinear Diffusion Equation

A new method is used to obtain the anomalous dimension in the solution of the nonlinear diffusion equation.The result is the same as that in the renormalization group (RG) approach.It gives us an insight into the anomalous dimension in the solution of the nonlinear diffusion equation in the RG approach.Based on this discussion,we can see anomalous dimension appears naturally in this system.     

Light-Induced Agglomeration and Diffusion of Different Particles with Optical Tweezers

The dynamic process of light-induced agglomeration of carbon nanotubes （CNTs）, C60 and Escherichia coli （E.eoli） in aqueous solutions is demonstrated using an optical tweezers system. Based on the results, the diameter of the agglomerated region and the agglomeration rate increase with the increasing laser power. After the saturation-stable period, CNTs diffuse completely, C60 clusters only diffuse partially, and E. coli never diffuses in the agglomeration region. Theoretical analyses show that the molecular polarization and thermal diffusion of particles play crucial roles in the diffusion process. The and sort nanoparticles. results indicate the possibility of using light to aggregate