Two-Point Correlations and Critical Line of the Driven Ising Lattice Gas in a High-Temperature Expansion

Based on a high-temperature expansion, we compute the two-point correlation function and the critical line of an Ising lattice gas driven into a nonequilibrium steady state by a uniform bias E. The lowest nontrivial order already reproduces the key features, i.e., the discontinuity singularity of the structure factor and the (qualitative) E dependence of the critical line. Our approach is easily generalized to other nonequilibrium lattice models and provides a simple analytic tool for the study of the high-temperature phase and its boundaries.     

Large Deviations for the Boundary Driven Symmetric Simple Exclusion Process

The large deviation properties of equilibrium (reversible) lattice gases are mathematically reasonably well understood. Much less is known in nonequilibrium, namely for nonreversible systems. In this paper we consider a simple example of a nonequilibrium situation, the symmetric simple exclusion process in which we let the system exchange particles with the boundaries at two different rates. We prove a dynamical large deviation principle for the empirical density which describes the probability of fluctuations from the solutions of the hydrodynamic equation. The so-called quasi potential, which measures the cost of a fluctuation from the stationary state, is then defined by a variational problem for the dynamical large deviation rate function. By characterizing the optimal path, we prove that the quasi potential can also be obtained from a static variational problem introduced by Derrida, Lebowitz, and Speer.     

A Remark on High Temperature Polymer Expansion for Lattice Systems with Infinite Range Pair Interactions

We consider the standard high temperature-small activity polymer expansion for lattice spin systems and show how, in many cases using a tree graph equality, various classical results may be improved in some cases or at least proved in a much simpler way.     

Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States

We formulate a dynamical fluctuation theory for stationary non-equilibrium states (SNS) which is tested explicitly in stochastic models of interacting particles. In our theory a crucial role is played by the time reversed dynamics. Within this theory we derive the following results: the modification of the Onsager–Machlup theory in the SNS; a general Hamilton–Jacobi equation for the macroscopic entropy; a non-equilibrium, nonlinear fluctuation dissipation relation valid for a wide class of systems; an H theorem for the entropy. We discuss in detail two models of stochastic boundary driven lattice gases: the zero range and the simple exclusion processes. In the first model the invariant measure is explicitly known and we verify the predictions of the general theory. For the one dimensional simple exclusion process, as recently shown by Derrida, Lebowitz, and Speer, it is possible to express the macroscopic entropy in terms of the solution of a nonlinear ordinary differential equation; by using the Hamilton–Jacobi equation, we obtain a logically independent derivation of this result.     

Large Deviations in Weakly Interacting Boundary Driven Lattice Gases

One-dimensional, boundary-driven lattice gases with local interactions are studied in the weakly interacting limit. The density profiles and the correlation functions are calculated to first order in the interaction strength for zero-range and short-range processes differing only in the specifics of the detailed-balance dynamics. Furthermore, the effective free-energy (large-deviation function) and the integrated current distribution are also found to this order. From the former, we find that the boundary drive generates long-range correlations only for the short-range dynamics while the latter provides support to an additivity principle recently proposed by Bodineau and Derrida.     

Field Theory of Critical Behavior in Driven Diffusive Systems with Quenched Disorder

We present a field-theoretic renormalization-group study for the critical behavior of a uniformly driven diffusive system with quenched disorder, which is modeled by different kinds of potential barriers between sites. Due to their symmetry properties, these different realizations of the random potential barriers lead to three different models for the phase transition to transverse order and to one model for the phase transition to longitudinal order all belonging to distinct universality classes. In these four models, which have different upper critical dimensions d _c, we find the critical scaling behavior of the vertex functions in spatial dimensions d<d _c. The deviation from purely diffusive behavior is characterized by the anomaly exponent , which we calculate at first and second order, respectively, in =d _c–d. In each model turns out to be positive, which means superdiffusive spread of density fluctuations in the driving force direction.     

Statistical Entropy of a Lattice-Gas Model: Multiparticle Correlation Expansion

A formula expressing the statistical entropy of a lattice-gas model as a multiparticle correlation expansion is derived in the grand-canonical and in the canonical ensembles. The differences from the analogous expansion in the continuum case are elucidated. The Ising model in one dimension is discussed as a case study.     

高密度酚醛泡沫绝热材料的低温膨胀率的测定

着重介绍了用相对比较法膨胀仪 ,在 77K～ 2 93K温度范围内测试高密度酚醛泡沫不燃绝热材料的低温热膨胀率的方法 ,给出了测试结果 ,并进行了误差分析和讨论。     

Application of Rational Expansion Method for Differential-Difference Equation

In this paper, we applied the rational formal expansion method to construct a series of soliton-like and period-form solutions for nonlinear differential-difference equations. Compared with most existing methods, the proposed method not only recovers some known solutions, but also finds some new and more general solutions. The efficiency of the method can be demonstrated on Toda Lattice and Ablowitz-Ladik Lattice.     

High Speed Visualization and Dynamic Measurement of Heat Driven Pumps

We provide the high speed flow visualization and dynamic measurement results for the U-shaped and the inverted U-shaped heat driven pumps. The U-shaped heat driven pumps at the high heating powers consist of a succession of tiny bubble nucleation, growth and coalescence process. Once the “larger” spherical bubble or the bubble slug forms, it expands quickly in both upstream and downstream directions. The increased pressure leads to the liquid discharge through the outlet check valve. When the advancing vapor/liquid interface reaches a higher position in the vertical discharge branch, the condensation heat transfer in the discharge branch shrinks the bubble slug, leading to the decreased pressure and initiating the open of the inlet check valve. Thus the fresh liquid can be sucked into the system. Heat driven pumps operating at the low heating powers display the similar process. However, two major differences are identified: (1) A full cycle includes a set of positive pressure pulses corresponding to a set of tiny bubble nucleation, growth and coalescence process in each substage. Only at the end of the cycle, an apparent negative pressure pulse is created. (2) For each substage in each cycle, when the newly formed bubble slug is chasing the ahead “old” bubble slug, the deformed liquid bridge is formed due to the gravity force effect. When the two bubble slugs are merging together, a wave vapor/liquid interface occurs along the bottom of the capillary tube. For the inverted U-shaped heat driven pumps, there are fewer positive pressure pulses included, corresponding to lesser number of new bubble nucleation, growth, and coalescence process. The bubble slug in the capillary tube is very standard with the smooth vapor/liquid interface. The cycle periods and the pumping flow rates are given versus the heating powers.     

Finite-size effects for phase segregation in a two-dimensional asymmetric exclusion model with two species

We investigate the stationary states of a two-dimensional lattice gas model with exclusion, in the presence of an external field. The lattice is populated by equal numbers of positively and negatively charged particles. An analytical mean-field approach and Monte Carlo simulations give strong evidence of the fact that at any finite density the only relevant stationary state of the system in the thermodynamic limit is inhomogeneous, consisting of a strip of particles transverse to the field. In the inhomogeneous phase, the density profiles and the current measured by Monte Carlo simulations are closely related to those found in mean field. The same is true for the finite-size behavior of the system.     

高温高压下Fe-Ni-C系合成金刚石的研究

 以工业纯单质铁粉和单质镍粉为主要原料,采用粉末冶金方法制备了Fe-Ni-C系反应体系,在六面顶压机上进行了金刚石合成实验。Raman光谱和X射线衍射结果表明,采用这种方法获得的粒径为200~500 μm,呈六-八面体聚形的晶体为立方金刚石单晶。通过对常规力学性能的检测发现,金刚石的品位较高,超过SMD25级锯片级金刚石的要求。分析认为,高温高压下金刚石自Fe-Ni-C系形核是一个触媒不断溶解催化碳原子的过程。大量的实验结果可以证实,金刚石在Fe-Ni-C系长大所需的碳原子来自于在γ-(Fe,Ni)吸引作用下、从(Fe,Ni)₃C中不断脱溶的碳。金属包覆膜在这一过程中不但起到了输送碳原子的作用,还以独特的方式促成了碳原子由sp²π杂化态向sp³杂化态的转变。     

A New Method of the High Temperature Series Expansion

We formulate a new method of performing high-temperature series expansions for the spin-half Heisenberg model or, more generally, for SU(n) Heisenberg model with arbitrary n. The new method is a novel extension of the well-established finite cluster method. Our method emphasizes hidden combinatorial aspects of the high-temperature series expansion, and solves the long-standing problem of how to efficiently calculate correlation functions of operators acting at widely separated sites. Series coefficients are expressed in terms of cumulants, which are shown to have the property that all deviations from the lowest-order nonzero cumulant can be expressed in terms of a particular kind of moment expansion. These quasi-moments can be written in terms of corresponding quasi-cumulants, which enable us to calculate higher-order terms in the high-temperature series expansion. We also present a new technique for obtaining the low-order contributions to specific heat from finite clusters.     

Phase Transitions in a Driven Lattice Gas with Anisotropic Interactions

The Ising lattice gas, with its well known equilibrium properties, displays a number of surprising phenomena when driven into nonequilibrium steady states. We study such a model with anisotropic interparticle interactions (J _||J ), using both Monte Carlo simulations and high temperature series techniques. Under saturation drive, the shift in the transition temperature can be both positive and negative, depending on the ratio J _||/J ! For finite drives, both first- and second-order transitions are observed. Some aspects of the phase diagram can be predicted by investigating the two-point correlation function at the first nontrivial order of a high-temperature series expansion.     

组合式隔热陶瓷短杆高温SHPB实验技术

讨论和分析了当前高温分离式霍普金森压杆(SHPB)实验技术,为了获得材料在高温下可靠的动态力学性能,建立了一套在压杆和试件之间添加隔热陶瓷短杆的高温SHPB实验系统。相比于传统接触式高温SHPB方案,该系统可以使用在更高的冲击载荷和温度下,与机械对杆方案相比,实验装置及其控制要简便许多。结合有限元模拟,对陶瓷短杆及温度场对压杆中应力波传播的影响进行了相应的评估,并利用这套实验系统得到了800℃下HR2抗氢钢的动态压缩应力-应变曲线。     

Boundary Dissipation in a Driven Hard Disk System

We perform a simulation with the aim of checking the existence of a well defined stationary state for a two dimensional system of driven hard disks when energy dissipation takes place at the system boundaries and no bulk impurities are present. PACS: 02.70.Ns, 05.60.-k, 47.27.ek     

高焓膨胀管风洞性能调试试验研究

为评估新建成的高焓膨胀管风洞的设备性能,开展了风洞调试试验.通过测量激波速度、静压及Pitot压力等流场参数,结合考虑高温热化学效应的理论计算方法,对设备在常规氦气驱动模式及自由活塞驱动模式、低焓到高焓的运行状态进行了调试与分析.调试试验表明风洞最高气流速度达到11.5 km/s,最高焓值达到71.7 MJ/kg,高焓...