Complete Condensation of Zero Range Process in Fitness Networks

In current paper we study the so-called “complete condensation” of zero range process on the fitness network. It is found that under the high temperature limit, the condensation behavior on the fitness model converges to that of the scale-free network, as expected. However, at some temperatures below the critical temprature of Bose- Einstein condensate phase on the fitness network, the complete condensation occurs as well for some values of δ> δ_c, which is impossible on scale-free network according to the criterion.     

Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition

For the symmetric simple exclusion process on an infinite line, we calculate exactly the fluctuations of the integrated current Q _t during time t through the origin when, in the initial condition, the sites are occupied with density ρ _a on the negative axis and with density ρ _b on the positive axis. All the cumulants of Q _t grow like . In the range where , the decay exp [−Q _t ³/t] of the distribution of Q _t is non-Gaussian. Our results are obtained using the Bethe ansatz and several identities derived recently by Tracy and Widom for exclusion processes on the infinite line. We acknowledge the support of the French Ministry of Education through the ANR BLAN07-2184264 grant.     

Condensation in the Zero Range Process: Stationary and Dynamical Properties

The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which induce an effective attraction between particles. We rigorously prove that for the stationary probability measure there is a background phase at some critical density and for large system size essentially all excess particles accumulate at a single, randomly located site. Using random walk arguments supported by Monte Carlo simulations, we also study the dynamics of the clustering process with particular attention to the difference between symmetric and asymmetric jump rates. For the late stage of the clustering we derive an effective master equation, governing the occupation number at clustering sites.     

Exact Connections between Current Fluctuations and the Second Class Particle in a Class of Deposition Models

We consider a large class of nearest neighbor attractive stochastic interacting systems that includes the asymmetric simple exclusion, zero range, bricklayers’ and the symmetric K-exclusion processes. We provide exact formulas that connect particle flux (or surface growth) fluctuations to the two-point function of the process and to the motion of the second class particle. Such connections have only been available for simple exclusion where they were of great use in particle current fluctuation investigations. MSC: 60K35, 82C41     

Dynamics of a Tagged Particle in the Asymmetric Exclusion Process with the Step Initial Condition

The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in the TASEP with the step initial condition. Calculated is the multi-time joint distribution function of its position. Using the relation of the dynamics of the TASEP to the Schur process, we show that the function is represented as the Fredholm determinant. We also study the scaling limit. The universality of the largest eigenvalue in the random matrix theory is realized in the limit. When the hopping rates of all particles are the same, it is found that the joint distribution function converges to that of the Airy process after the time at which the particle begins to move. On the other hand, when there are several particles with small hopping rate in front of a tagged particle, the limiting process changes at a certain time from the Airy process to the process of the largest eigenvalue in the Hermitian multi-matrix model with external sources.     

The Asymmetric Exclusion Process Revisited: Fluctuations and Dynamics in the Domain Wall Picture

We investigate the total asymmetric exclusion process by analyzing the dynamics of the shock. Within this approach we are able to calculate the fluctuations of the number of particles and density profiles not only in the stationary state but also in the transient regime. We find that the analytical predictions and the simulation results are in excellent agreement.     

石化废水处理过程中荧光有机物变化特征及去除效果

石化废水排放量大、污染物成分复杂,对环境的危害较大。采用三维荧光光谱扫描技术分析了某大型石化企业综合污水处理厂各处理单元(水解酸化+A/O+接触氧化工艺)进出水的荧光光谱特征。污水厂总进水包含四个荧光峰Peak A,Peak B,Peak D,Peak E,分别位于λex/λem=220/300,225/340,270/300,275/340nm附近,荧光物质主要来自工业废水,水解酸化池出水各荧光峰强度有所降低,位置基本不变,厌氧池出水λex/λem=250/425nm附近出现新荧光峰Peak C,好氧池出水荧光峰Peak C处荧光强度有所增强,二沉池出水Peak A消失,二沉池之后水样荧光谱图变化不大;该处理工艺对荧光有机物的总去除率为92.0%,Peak A,Peak B,Peak D,Peak E附近的荧光有机物去除率分别为100.0%,91.2%,80.3%,92.0%;污水厂进水IPeak B/IPeak E值波动较大而出水变化不大,表明该污水处理厂运行稳定,其处理工艺具有较强的抗冲击负荷能力。