超流氦中的沸腾实验研究:压力测量及其可视化

在超流氢的沸腾实验中,随着静压液柱高度ｈ的降低,会出现不同的沸腾状态。在噪声沸腾中,一个与平板加热器大小相当的气泡在其表面上反复地长大、缩小,并伴随着巨大的噪声和剧烈的机械振动;在无噪声沸腾中,在平板加热器表面形成一个极稳定的气膜,并且,没有噪声和机械振动出现;而在两者之间,存在一个过渡的沸腾状态。通过沸腾过程中的压力振动测量和可视化测量,对不同沸腾状态进行了研究。     

Taussky定理推广与应用

本文在Ｃａｓｓｉｎｉ卵形域上推广了Ｔａｕｓｓｋｙ定理。所得结果修正了Ｂｒａｕｅｒ定理,作为应用给出不可约双对角占优矩阵非奇异的充要条件,最后把基本结果推广到分块矩阵上。     

Random surfaces with two-sided constraints: An application of the theory of dominant ground states

We consider some models of classical statistical mechanics which admit an investigation by means of the theory of dominant ground states. Our models are related to the Gibbs ensemble for the multidimensional SOS model with symmetric constraints _x m/2. The main result is that for ₀, where ₀ does not depend onm, the structure of thermodynamic phases in the model is determined by dominant ground states: for an evenm a Gibbs state is unique and for an oddm the number of space-periodic pure Gibbs states is two.     

Extension of the Zorn lemma to general nontransitive binary relations

Let be an irreflexive (strict) binary relation on a nonempty setX. Denote the completion of by , i.e.,yx ifxy does not hold. An elementx ^* X is said to be a maximal element of onX ifx ^* x, xX. In this paper, an extension of the Zorn lemma to general nontrasitive binary relations (may lack antisymmetry) is established and is applied to prove existence of maximal elements for general nontrasitive (reflexive or irreflexive) binary relations on nonempty sets without assuming any topological conditions or linear structures. A necessary and sufficient condition has been also established to completely characterize the existence of maximal elements for general irreflexive nontrasitive binary relations. This is the first such result available in the literature to the best of our knowledge. Many recent known existence sults in the literature for vector optimization are shown to be special cases of our result.This work was supported in part by AFSOR Grant 91-0097.The author is grateful to the referees and Professor P. L. Yu for their comments and suggestions that led to this improved paper.     

Layering transition in SOS model with external magnetic field

For the SOS model defined by the Hamiltonian , where _x , _x ,{1,2,...},h>0,x ^d ,d2 it is shown that in the low-temperature region an infinite sequence of first-order phase transitions takes place whenh»0 and the temperature is fixed.     

具非零元素链二重几何平均对角占优矩阵

本文引进了具非零元素链二重几何平均对角占优矩阵的概念,讨论了它的性质及其与具非零元素链对角占优矩阵,非奇Ｈ－矩阵等的关系     

宁波陆源入海排污口优势菌群的数量、组成分析与研究

研究了宁波地区海域2011年3月、5月、8月、10月的排污口污水水体中可培养细菌的数量、组成及其分布, 探讨了优势菌群与当地环境的相关关系. 结果表明: 各地区细菌分布各月份性差异明显, 5月份、8月份细菌数量明显高于3月与10月, 其均值数量级能达到106 cfu?mL-1; 象山、余姚地区排污口细菌数量高于奉化、宁海、北仑地区, 细菌数量最高均值为8月份象山地区排污口(4.7×106cfu?mL-1). 优势菌群分布具有季节性分布特征: 3月份特有优势菌群为假单胞菌属(Pseudomonas sp.)与海单胞菌属(Marinomonas sp.); 5月份为假单胞菌属(Pseudomonas sp.)、海单胞菌属(Marinomonas sp.)与弧菌属(Vibrio sp.); 8月份为泛菌属(Pantoea sp.)、弧菌属(Vibrio sp.)、肠杆菌属(Enterobacter sp.); 10月份为不动杆菌属(Acinetobacter sp.)、弧菌属(Vibrio sp.)、希瓦氏菌属(Shewanella sp.). 多维尺度分析表明: 临近海域类型与排污口类型为排污口细菌群落变化的两个关键因素.     

天目山自然保护区常绿落叶阔叶林优势种群空间分布格局

基于浙江省天目山常绿阔叶林1 hm²样地调查数据,应用点格局方法分析了3种优势种细叶青冈(Cyclobalanopsis gracilis)、杉木(Cryptomeria fortunei)、短尾柯(Lithocarpus brevicaudatus)的空间分布格局,对比了优势种不同生长阶段(幼苗、幼树、中树、大树)的空间分布格局以及不同生长阶段之间的空间关联性.结果表明:(1)3个主要优势种并未受到明显的生境异质性的影响,总体呈现随机分布格局,其中短尾柯由于具有较高的根蘖率,导致在中树种群阶段于2~10 m处呈现聚集分布;(2)3个主要优势种在不同生长阶段之间1~25 m尺度范围内总体表现为无关联性,其中幼树与幼苗在小尺度(1~3 m)上均表现为正相关,细叶青冈中树与大树阶段之间存在潜在的负相关趋势,杉木幼树与大树阶段存在潜在的正相关趋势;(3)3个优势种群在发育过程中均未明显受到密度制约造成的自疏效应的影响.     

M-Theory Inspired Low Energy Phenomenology

In both the scalar quasi-massless SUSY breaking scenario and dilaton-dominant SUSY breaking scenario, we analyze experimental constraints to the parameter space in M theory compactified on S¹/Z₂. The sparticle spectrum and some phenomenological predictions are given.     

A nonlinear ALE‐FCT scheme for non‐equilibrium reactive solute transport in moving domains

In this paper, we present a conservative, positivity‐preserving, high‐resolution nonlinear ALE‐flux‐corrected transport (FCT) scheme for reactive transport models in moving domains. The mathematical model is a convection–diffusion equation with a nonlinear flux equation on the moving channel wall. The reactive transport is assumed to have dominant Péclet and Damköhler numbers, a phenomenon that often results in non‐physical negative solutions. The scheme presented here is proven to be mass conservative in time and positive at all times for a small enough Δt. Reactive transport examples are simulated using this scheme for its validation, to show its convergence, and to compare it against the linear ALE‐FCT scheme. The nonlinear ALE‐FCT is shown to perform better than the linear ALE‐FCT schemes for large time steps. Copyright © 2014 John Wiley & Sons, Ltd.