Fast vectorized algorithm for the Monte Carlo simulation of the random field Ising model

An algorithm for the simulation of the 3-dimensional random field Ising model with a binary distribution of the random fields is presented. It uses multi-spin coding and simulates 64 physically different systems simultaneously. On one processor of a Cray YMP it reaches a speed of 184 million spin updates per second. For smaller field strength we present a version of the algorithm that can perform 242 million spin updates per second on the same machine.     

Droplet dynamics for asymmetric Ising model

Nucleation from a metastable state is studied for an anisotropic Ising model at very low temperatures. It turns out that the critical nucleus as well as configurations on a typical path to it differ from the Wulff shape of an equilibrium droplet.     

Ising model in a quasiperiodic transverse field,percolation, and contact processes in quasiperiodic environments

Quantum Ising models in a transverse field are related to continuous-time percolation processes whose oriented percolation versions are contact processes. We study such models in the presence of quasiperiodic disorder and prove localization in the ground state, no percolation, and extinction, respectively, for sufficiently large disorder.     

Study of the three-dimensional Ising model on film geometry with the cluster Monte Carlo method

Topological properties of clusters are used to extract critical parameters. This method is tested for the bulk properties ofd=2 percolation and thed=2, 3 Ising model. For the latter we obtain an accurate value of the critical temperatureJ/k _B T _c=0.221617(18). In the case of thed=3 Ising model with film geometry the critical value of the surface coupling at the special transitions is determined as J_1c/J=1.5004(20) together with the critical exponents ₁ ^m =0.237(5) and=0.461(15).     

对数态Tavis-Cummings模型中辐射场的非经典性

本文研究了任意初态的双光子Tavis-Cummings模型的演化规律,作为例子,讨论了初始时刻两个原子均处于基态而光场为对数态时场的压缩效应,光子的聚束和反聚束效应.     

用MAPKOB链模拟月径流系列的尝试

水文统计中的月径流资料是非常重要的。月径流系列是一随机过程，由于水文现象的复杂性，难以用准确的分布函数来描述。但作出某些合理手假设后，可将其变为符合各态历经定理的平稳随机过程。用Ｍａｐｋｏｂ自回归模型可以生成人工月径流系列，以满足规划、设计等方面的要求。本文以三屯河为例，用Ｍａｐｋｏｂ模型模拟了该河的月径流系列。     

地价测算中的线性约束滚动模型

综合考虑影响地价的各种因素，结合目前土地价格评估中的各种理论方法，建立了描述土地价格变化的数学模型，并应用于宁波经济技术开发区新矸区域的地价评估工作中，取得较好的结果．     

感应耦合等离子体中原子发射光谱的非局部热平衡 Ⅰ.非玻尔兹曼分布

本文叙述了在感应耦合等离子体中,原子激发过程可以用台阶式模型来近似,从而证实了激发态粒子数的局部非玻尔兹曼分布是等离子体光学薄性质的必然结果。从理论上讨论了局部非玻尔兹曼分布公式以及分布曲线弯曲时的拐点能量。     

Heating mechanism in relation to the laser machining process

Laser workpiece interaction mechanism is an important phenomenon which will assist in the development of laser machining systems. The interaction mechanism is generally complicated and depends on the laser and workpiece properties. In the present study a mathematical analysis for the laser material removal by evaporation and radial ejection of liquid is carried out. In the analysis the time unsteady problem is solved and nucleation explosions are predicted.