THE RATE OF ESCAPE OF BROWNIAN PARTICLE OVER DOUBLY PEAKED POTENTIAL BARRIERS

The rate of escape of Brownian particle over doubly peaked potential barriers is calculated by the exact solution of the Smoluchowski equation. It is found that the rate depends strongly on the form of the potential barriers.     

一维势阱中被噪声驱动的粒子的逃逸问题

通过计算机数值模拟直接解朗之万方程，得到一维势阱中被高斯白噪声驱动的粒子的逃逸率，并与理论结果进行了对照。     

无反射势阱中粒子运动的双波函数描述

应用双波函数量子理论,得到了描述无反射势阱中单粒子运动状态的力学量的时间演化方程,而通常量子力学中的平均值公式可描述为双波函数对某类系综的平均结果。 关键词：     

幂次中心势阱中粒子能谱规律的分析

分析了幂次中心势阱中粒子的能谱，讨论了粒子能谱形状随幂次变化的规律     

RECURRENCE RELATIONS OF GREEN FUNCTIONS FOR THREE PARTICLE POTENTIAL

The recurrence relations between Green functions are derived for the two and three particle potentials. The time variation of the field operator is used for the derivation of these recurrence relatiions.     

PRINCIPLE OF MAXIMUM OVERLAP AND OPTIMAL SINGLE PARTICLE POTENTIAL

The principle of maximum overlap is applied to the derivation of optimal single particle (sp) wave functions for a many-fermion system under the proposition that the ground state correlation should be taken into account rigorously. If the sp potential U_αβ is defined in terms of the mass operator M_αβ^(u) by u_αβ=M_αβ(εβ), it is shown that the eigenfunctions of the sp Hamiltonian h_αβ=t_αβ+u_αβ automatically fulfill the requirements of the above principle.     

从布朗运动的发现到RR方法

对朗之万方程研究的历史和现状进行了全面的综合评述。     

BROWNIAN MOTION MODEL OF THE FISSION PROCESS

Fission process is considered as a multidimensional Brownian motion. The Planck-Fokker equation is solved and the fission probability in the steady state approximationis calculated. The results is compared with the Bohr-Wheeler theory. Numerical cal-culations are performed for the fission of ²³⁶U and the results are discussed.     

一维幂次势阱中粒子能谱规律的分析

分析了一维幂次势阱中粒子的能谱,讨论了能谱形状随幂次变化的规律．     

近独立子系系统的统计规律

本文以系综理论为根据,导出了任意数目、质量不同的刚性粒子构成的二维及三维近独立子系系统的分布函数,并与计算机模拟实验的结果进行了比较.     

HIGHLIGHTS OF THE 2014 EDITION OF THE REVIEW OF PARTICLE PHYSICS

<正>899 new papers with 3283 new measurements Over 330 papers from LHC experiments(ATLAS,CMS,and LHCb).Extensive Higgs boson coverage from 138papers with 258 measurements.Supersymmetry:123 papers with major exclusions,many from LHC experiments.Top quark:51 new papers,many from LHC experiments.Cosmology reviews updated to include 2013Planck.Latest from S-meson physics:183 papers with 803 measurements,including first observation of B_s→μ~+μ~-from LHCb and CMS.     

THE ALGEBRAIC STRUCTURE ON ME PROELEM OF NON-LINEAR BROWNIAN MOTION

The algebraic structure for the diffusing type equation is discussed. By using the symmetry operator of the equation, the exponent operator of the equation can be decomposed. The results give the behaviour of transient process and can be compared with Suzuki's theory.     

HIGHLIGHTS OF THE 2016 EDITION OF THE REVIEW OF PARTICLE PHYSICS

The Review summarizes much of particle physics and cosmology.Using data from previous editions,plus 3,062 new measurements from 721 papers,we list,evaluate,and average measured properties of gauge bosons and the recently discovered Higgs boson,leptons,quarks,mesons,and baryons.We summarize searches for hypothetical particles such as supersymmetric particles,heavy bosons,axions,dark photons,etc.All the particle properties and search limits are listed in Summary Tables.We also give numerous tables,figures,formulae,and reviews of topics such as Higgs Boson Physics,Supersymmetry,Grand Unified Theories,Neutrino Mixing,Dark Energy,Dark Matter,Cosmology,Particle Detectors,Colliders,Probability and Statistics.Among the 117 reviews are many that are new or heavily revised,including new reviews on Pentaquarks and Inflation.     

STUDYING NUCLEAR FISSION RATE FROM THE POINT OF VIEW OF BROWNIAN MOTION

The problem of the nuclear fission rate is studied from the point of view of Brownian motion. The Fokker-Plank equation is solved by means of the rate ei-genvalue method. The viscosity tensors, the inertia coefficients and the temperature are functions of nuclear deformation. Their effects on the fission rate are also stu-died.     

自由分子区布朗凝并作用下的颗粒尺寸分布变化

对于燃烧过程中生成的亚微米颗粒,其一次颗粒的长大过程主要是通过碰撞凝并实现的。本文通过对颗粒的初始分布作出一个合理的正态对数分布的假设,运用矩方法(Moment Method)研究了自由分子区的颗粒在布朗碰撞作用下的颗粒尺寸分布的变化情况。所得到的长时间碰撞凝并结果符合布朗碰撞凝并过程的自保持特性。数值结果还表明,颗粒初始的宽粒径分布会显著提高粒子云的在凝并初期的凝并速率和生成粒子的平均直径,且最终生成的粒子尺寸都是宽分布的。这说明在预报微细颗粒的迁移和长大过程中有必要考虑粒子的宽分布特性。     

行星大气的金斯逃逸

讨论了行星大气金斯逃逸的条件和判据。     

掺杂对氧化铝粒子辐射特性的影响

本文分析了广杂质以及掺杂形态对固体发动机尾喷焰内Al2O3粒子辐射特性的影响.利用Bruggeman有效介质珲论研究了Al2O3粒子掺杂不同体积的炭黑后等效光学常数随温度的变化规律,考虑了粒子在熔点附近相态的变化,重点研究掺杂量对吸收指数的影响规律,发现随着含炭量增加,吸收指数逐渐增大.以米氏理论为基础研究了不同尺寸的含炭黑Al2O3粒子吸收因子的变化情况,发现在某一粒子尺寸参数(x=πD/λ)和复折射率组合下吸收因子的数值会出现峰值.     

运动磁单极子的规范势

本文利用诱导SU(2)规范势A_μ=?_μn×n的一些性质,从磁单极子的辐射电磁场强的已知表达式出发,构造出一个n场,使得由它得到的诱导势经约化之后得到的U(1)场强与磁单极子的辐射电磁场强一致。n得到之后,就得到SU(2)规范势,再经约化,就得到相等价的U(1)势,既然它的场强与磁单极子场强一致,它的U(1)势就是磁单极子的U(1)势,这个U(1)势是有奇异的(奇异弦),可以用分区表示的方法来避免它,当粒子静止时,这个势的结果与著名的吴-杨势一致。 关键词：     

均匀电场中颗粒簇偶极矩的确定

置于均匀电场中的一簇球形颗粒,由于其内部的相互作用而耦合在一起．这致使簇的感应偶极矩与簇的几何结构,大小以及颗粒的介电常数等参量有关．试图通过已知的链的偶极矩确定任意大小长方结构的簇的偶极矩．假定颗粒链可以被具有同样偶极矩的一个等效介质球代替,并将具有空间结构的颗粒簇处理成面结构簇,再将面结构简化成一个颗粒链,从而确定簇的偶极矩．在这一过程中,通过不断增加等效球的尺寸,将颗粒间的相互作用包含在簇的偶极矩中．数值分析了立方结构簇的偶极矩,结果是可接受的. 关键词：     

MULTIPOLE RANDOM PHASE APPROXIMATION FOR THREE PARTICLE NUCLEAR POTENTIAL

Using the linearization or random phase approximation the particle-hole excitation amplitude for the rnultipole are calculated.