共查询到20条相似文献,搜索用时 15 毫秒
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WU Feng-Min XU You-Sheng LI Qiao-Wen 《理论物理通讯》2006,46(2):332-336
A comprehensive simulation model -- deposition, diffusion, rotation, reaction and aggregation model is presented to simulate the formation processes of ramified clusters on liquid surfaces, where clusters can disuse and rotate easily. The mobility (including diffusion and rotation) of clusters is related to its mass, which is given by Dm = Dos^-γD and θm = θos^-γθ, respectively. The influence of the reaction probability on the kinetics and structure formation is included in the simulation model. We concentrate on revealing dynamic scaling during ramified cluster formation. For this purpose, the time evolution of the cluster density and the weight-average cluster size as well as the cluster-size distribution scaling function at different time are determined for various conditions. The dependence of the cluster density on the deposition flux and time-dependence of fractal dimension are also investigated. The obtained results are helpful in understanding the formation of clusters or thin film growth on liquid surfaces. 相似文献
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XIA Hui TANG Gang LI Yi-Fan 《理论物理通讯》2008,50(7):227-230
Based on the scaling idea of local slopes by Lopez et al. [Phys. Rev. Lett. 94 (2005) 166103], we investigate anomalous dynamic scaling of (d + 1)-dimensional surface growth equations with spatially and temporally correlated noise. The growth equations studied include the Kardar-Parisi-Zhang (KPZ), Sun-Guo-Grant (SGG), and Lai-Das Sarma-Villain (LDV) equations. The anomalous scaling exponents in both the weak- and strong-coupling regions are obtained, respectively. 相似文献
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利用直流磁控溅射方法,以Ar/N2作为放电气体,通过改变放电气体中N2的流量(N2流量比分别为5%,10%,30%,50%)及溅射时间(160,30,20,10,5min),在玻璃衬底上沉积了FexN薄膜。用X射线光电子能谱(XPS)方法确定了不同N2流量下薄膜的成分;X射线衍射(XRD)方法分析了不同N2流量下的FexN薄膜结构,当N2流量比为5%时获得了FeN0 056相,10%时为ε Fe3N相,30%和50%流量比下均得到FeN相。利用原子力显微镜(AFM)和掠入射X射线散射(GIXA)方法研究了膜表面的粗糙度和形貌,发现随着N2流量的增加,薄膜表面光滑度增加,薄膜表面呈现自仿射性质。动力学标度方法定量分析表明:薄膜表面因不同N2流量的影响而具有不同的动力学指数,当氮气流量比为5%时,静态标度指数α≈0 65,生长指数β≈0 53±0 02,薄膜生长符合基于Kolmogorov提出的能量波动概念的KPZ模型指数规律。 相似文献
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The connection between anomalous scaling of structure functions (intermittency) and numerical methods for turbulence simulations
is discussed. It is argued that the computational work for direct numerical simulations (DNS) of fully developed turbulence
increases as Re
4, and not as Re
3 expected from Kolmogorov’s theory, where Re is a large-scale Reynolds number. Various relations for the moments of acceleration and velocity derivatives are derived.
An infinite set of exact constraints on dynamically consistent subgrid models for Large Eddy Simulations (LES) is derived
from the Navier–Stokes equations, and some problems of principle associated with existing LES models are highlighted 相似文献
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The dynamic scaling behaviour of late-stage phase separation and coarsening mechanisms of L12 and D022 in Ni75AlxV25-x (3 ≤ x ≤ 10, at.%) alloys are studied using the microscopic phase-field dynamic model. The microelaso ticity field is incorporated into the diffusion dynamic model. The results show the morphology and coarsening dynamics being greatly changed by the elastic interactions among different precipitates, the particles aligning along the dominant directions, the average domain size (ADS) of L12 and D022 deviating from the exponent of temporal power-law, and the growth slowing down due to the increasing of elastic interactions. The dynamic scaling regime of late-stage coarsening of the precipitates is attained. Thus the scaling behaviour of structure function is also applicable for elastic interaction systems. It is also found that the variations of ADS and scaling function depend on the volume fraction of precipitates. 相似文献
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We investigate the structure of scaling solutions of Smoluchowski's coagulation equation, of the formc
k
(t)s(t)– (k/s(t)), wherec
k
(t) is the concentration of clusters of sizek at timet,s(t) is the average cluster size, and(x) is a scaling function. For the rate constantK(i, j) in Smoluchowski's equation, we make the very general assumption thatK(i, j) is a homogeneous function of the cluster sizesi andj:K(i,j)=a
–
K(ai,aj) for alla>0, but we restrict ourselves to kernels satisfyingK(i, j)/j0 asj. We show that gelation occurs if>1, and does not occur if1. For all gelling and nongelling models, we calculate the time dependence ofs(t), and we derive an equation for(x). We present a detailed analysis of the behavior of(x) at large and small values ofx. For all models, we find exponential large-x behavior: (x)A
x
–
e
–x
asx and, for different kernelsK(i, j), algebraic or exponential small-x behavior: (x)Bx
– or (x)=exp(–Cx
–|| + ...) asx0. 相似文献
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A modified fractal growth model based on the deposition, diffusion, and aggregation (DDA) with cluster rotationis presented to simulate two-dimensional fractal aggregationon liquid surfaces. The mobility (including diffusion and rotation)of clusters is related to its mass, which is given by Dm=D0s-γD and θm=θ0s-γθ, respectively. We concentrate on revealing the details of the influence of deposition flux F, cluster diffusion factorγD and cluster rotation factor γθ on the dynamics of fractal aggregationon liquid surfaces. It is shown that the morphologies ofclusters and values of cluster density and fractal dimensiondepend dramatically on the deposition flux and migration factors of clusters. 相似文献
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The scaling behavior of the closed trajectories of a moving particle generated by randomly placed rotators or mirrors on a square or triangular lattice is studied numerically. On both lattices, for most concentrations of the scatterers the trajectories close exponentially fast. For special critical concentrations infinitely extended trajectories can occur which exhibit a scaling behavior similar to that of the perimeters of percolation clusters.At criticality, in addition to the two critical exponents =15/7 andd
f=7/4 found before, the critical exponent =3/7 appears. This exponent determines structural scaling properties of closed trajectories of finite size when they approach infinity. New scaling behavior was found for the square lattice partially occupied by rotators, indicating a different universality class than that of percolation clusters.Near criticality, in the critical region, two scaling functions were determined numerically:f(x), related to the trajectory length (S) distributionn
s, andh(x), related to the trajectory sizeR
s (gyration radius) distribution, respectively. The scaling functionf(x) is in most cases found to be a symmetric double Gaussian with the same characteristic size exponent =0.433/7 as at criticality, leading to a stretched exponential dependence ofn
S onS, nSexp(–S
6/7). However, for the rotator model on the partially occupied square lattice an alternative scaling function is found, leading to a new exponent =1.6±0.3 and a superexponential dependence ofn
S onS.h(x) is essentially a constant, which depends on the type of lattice and the concentration of the scatterers. The appearance of the same exponent =3/7 at and near a critical point is discussed. 相似文献
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In order to indentity the corrosion products formed on steel surfaces from 57Fe Mössbauer spectroscopy, detailed Mössbauer parameters have been determined for various kinds of iron-oxyhydroxides: -FeOOH, -FeOOH, -FeOOH and -FeOOH. 57Fe Mössbauer measurements of the iron oxyhydroxides indicate the following results. Fe occupies a single site in -FeOOH, but below the Néel temperature as at e.g., 300 K the Mössbauer spectrum is always broad, showing a distribution of the strength of the magnetic exchange interactions. Its shape depends on the grain-size and synthetic methods of the specimen. Fe occupies 3 sites in -FeOOH. High-purity reagents of -FeOOH always contain small amounts of -FeOOH and their Néel temperatures depend on the synthetic methods of the specimen. Mössbauer spectroscopy of the synthetic -FeOOH shows very broad distribution of the hyperfine magnetic fields. 相似文献
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Katja Lindenberg Wen -Shyan Sheu Raoul Kopelman 《Journal of statistical physics》1991,65(5-6):1269-1283
We review our scaling results for the diffusion-limited reactions A + A 0 and A+B0 on Euclidean and fractal geometries. These scaling results embody the anomalies that are observed in these reactions in low dimensions; we collect these observations under a single phenomenological umbrella. Although we are not able to fix all the exponents in our scaling expressions from first principles, we establish bounds that bracket the observed numerical results. 相似文献
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为实现在一段时间内连续实时观测振动物体的全息干涉图形,采用覆盖铝箔的喇叭作为振动物体,利用铝箔原有未经特殊处理表面反射的漫反射光成像,并用光寻址液晶空间光调制器(Liquid crystal-sparial lightmodulator,LC-SLM)作为全息记录载体,来实现振动测量。实验中采用时间平均干涉测量法,得到了不同振动频率下物体的干涉图形。同时在连续改变振动物体的振动频率时,可以清晰地观察到物体振动全息干涉图形的变化过程,即近实时的全息干涉图形。 相似文献
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Ching-Cher Sanders Yan 《Applied Surface Science》2005,252(3):784-792
Monte-Carlo technique was applied to simulate the nonisothermal oxide formation/removal model for kinetic oscillation of carbon monoxide oxidation over nano-scaled catalysts. The nonisothermal oxide model interprets kinetic oscillation more properly with shorter oscillatory period and lower maximum CO coverage. Two channels transferring the system back and forth between low and high rate states are necessary to achieve kinetic oscillation. Oxide formation switches the state from high to low rate and found no changes in nonisothermal condition. Oxide removal reverses the process and it is accelerated in nonisothermal simulations cutting low rate period. The role of CO diffusion was found important for the kinetic oscillation. Without CO diffusion, oxide formation rate is increased keeping oxide coverage constant. Thus, the nondiffusive system is always in low reactive state. 相似文献
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在液膜拉脱过程中,对吊环的受力以及受力的变化情况进行分析,以便正确测量求得液体表面张力,减少α的实验测量误差。 相似文献
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