Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents

We propose an evolution model of cooperative agent and noncooperative agent aggregates to investigate the dynamic evolution behaviors of the system and the effects of the competing microscopic reactions on the dynamic evolution. In this model, each cooperative agent and noncooperative agent are endowed with integer values of cooperative spirits and noncooperative spirits, respectively. The cooperative spirits of a cooperative agent aggregate and the noncooperative spirits of a noncooperative agent aggregate change via four competing microscopic reaction schemes: the win-win reaction between two cooperative agents, the lose-lose reaction between two noncooperative agents, the win-lose reaction between a cooperative agent and a noncooperative agent (equivalent to the migration of spirits from cooperative agents to noncooperative agents), and the cooperative agent catalyzed decline of noncooperative spirits. Based on the generalized Smoluchowski's rate equation approach, we investigate the dynamic evolution behaviors such as the total cooperative spirits of all cooperative agents and the total noncooperative spirits of all noncooperative agents. The effects of the three main groups of competition on the dynamic evolution are revealed. These include: (i) the competition between the lose-lose reaction and the win-lose reaction, which gives rise to respectively the decrease and increase in the noncooperative agent spirits; (ii) the competition between the win-win reaction and the win-lose reaction, which gives rise to respectively the increase and decrease in the cooperative agent spirits; (iii) the competition between the win-lose reaction and the catalyzed-decline reaction, which gives rise to respectively the increase and decrease in the noncooperative agent spirits.     

The condensation of ideal Bose gas in a gravitational field

Bose–Einstein condensation of two- and three-dimensional boson gases confined in the one-dimensional gravitational field is investigated. Using the semiclassical approximation method, the expressions for the BEC transition temperature, condensate fraction, heat capacity and the entropy of the system are obtained. The heat capacities of the systems with D  =1, 2, 3 (D$D$ is the dimension) at the critical temperature are discussed. We find that for the 1-D and 2-D boson systems, the heat capacities are continuous, but for the 3-D case there is a gap at the critical temperature T_c$T_c$. The entropies of the systems with D=1, 2, 3 are also studied in detail. It is found that the entropies increase with the increasing of the temperature T.     

全局耦合网络上的两种类集团的聚集-湮没反应动力学

利用Monte-Carlo模拟研究了全局耦合网络上扩散限制的不可逆聚集-湮没过程的动力学行为. 在系统中, 同种类集团相遇, 将发生聚集反应; 不同种类的集团相遇, 则发生部分湮没反应. 模拟结果表明:1) 当两种粒子初始浓度相等时, 系统长时间演化后, 集团浓度c(t)和粒子浓度g(t)呈现幂律形式, c(t)～t^{- α}和g(t)～t^-β, 其中幂指数α 和β 满足α=2β 的关系, 且α=2/(2 + q); 集团大小分布随时间的演化满足标度律, a相似文献   

Competition Between Self-birth and Catalyzed Death in Aggregation Growth with Catalysis Injection

We propose two irreversible aggregation growth models of aggregates of two distinct species （.4 and B） to study the interactions between virus aggregates and medicine efficacy aggregates in the virus-medicine cooperative evolution system. The A-species aggregates evolve driven by self monomer birth and B-species aggregate-catalyzed monomer death in model I and by self birth, catalyzed death, and self monomer exchange reactions in model II, while the catalyst B-species aggregates are assumed to be injected into the system sustainedly or at a periodic time-dependent rate. The kinetic behaviors of the A-species aggregates are investigated by the rate equation approach based on the mean-field theory with the self birth rate kernel IA（k） = Ik, catalyzed death rate kernel JAB（k） = Jk and self exchange rate kernel KA （k, l） = Kkl. The kinetic behaviors of the A-species aggregates are mainly dominated by the competition between the two effects of the self birth （with the effective rate I） and the catalyzed death （with the effective rate JB0）, while the effects of the self exchanges of the A-species aggregates which appear in an effective rate KAo play important roles in the cases of I 〉 JBo and I = JBo. The evolution behaviors of the total mass M1^A（t） and the total aggregate number MA（t） are obtained, and the aggregate size distribution ak（t） of species A is found to approach a generalized scaling form in the case of I ≥ JBo and a special modified scaling form in the case of I 〈 JB0. The periodical evolution of the B-monomers concentration plays an exponential form of the periodic modulation.     

Competition between aggregation and migration processes of a multi-species system

We propose a solvable multi-species aggregation--migration model, in which irreversible aggregations occur between any two aggregates of the same species and reversible migrations occur between any two different species. The kinetic behaviour of an aggregation--migration system is then studied by means of the mean-field rate equation. The results show that the kinetics of the system depends crucially on the details of reaction events such as initial concentration distributions and ratios of aggregation rates to migration rate. In general, the aggregate mass distribution of each species always obeys a conventional or a generalized scaling law, and for most cases at least one species is scaled according to a conventional form with universal constants. Moreover, there is at least one species that can survive finally.     

氧乙烯数对辛基苯酚聚氧乙烯醚表面扩张粘弹性质的影响

研究了非离子表面活性剂辛基苯酚聚氧乙烯醚TX-100、TX-102和TX-165(平均氧乙烯数依次为10、12、16)水溶液的表面扩张粘弹性质, 考察了氧乙烯数变化对表面吸附膜特性的影响. 研究结果表明, 随着氧乙烯数的增大, 表面膜表现出较大的模量和较强的弹性. 这是由于较长氧乙烯链在表面上的“平躺”产生较慢的弛豫过程造成的.     

Biotin-avidin amplified enzyme-linked immunosorbent assay for determination of isoflavone daidzein

A biotin-avidin amplified enzyme-linked immunosorbent assay (BA-ELISA) method was developed and optimized for the determination of a weakly estrogenic isoflavone daidzein in serum, urine and Puerariae radix. Specific polyclonal antibody was produced against daidzein by immunization of rabbits with a conjugate of 7-O-(carboxymethyl)-daidzein and bovine serum albumin (BSA). The polyclonal antibody showed specific recognition of daidzein, while cross-reactivities to coumarin, 4-hydroxycoumarin, phenol, and other isoflavones such as puerarin and rutin were all lower than 1%. The linear range of daidzein calibration curve was 0.1-1000 ng mL⁻¹. The detection limit was found to be 0.04 ng mL⁻¹, and the intra-assay and inter-assay coefficients of variation were 7 and 16%, respectively. Human serum and urine samples were spiked with known amounts of daidzein and measured by the established BA-ELISA. Recoveries were between 91 and 107%. Daidzein in P. radix was determined by the BA-ELISA method and HPLC method, and the content of daidzein was determined to be 0.0219 and 0.0194%, respectively. The results indicated that there was a good agreement between the two methods. The established method is very useful for monitoring daidzein in biological samples and traditional Chinese medicine.     

丁基锡化合物丙基衍生物的质谱分析

本文利用格林试剂（ｎ－Ｐｒ）ＭｇＢｒ将一系列丁基锡化合物丙基化,并通过ＧＣ－ＭＳ鉴定了各相应的衍生物,研究了这些化合物的质谱行为,为通过烷基化方法测定有机锡化合物提供了可靠依据。     

磺化杯[4]芳烃与双正电荷季铵盐的键合作用

采用核磁波谱和等温微量热滴定等手段研究了磺化杯[4]芳烃与3个双正电荷季铵盐相互作用的键合比、 键合模式以及热力学参数. 结果表明, 磺化杯[4]芳烃与3个双正电荷季铵盐以不同的键合模式形成1: 1络合物, 其键合常数均超过10⁵ L/mol, 键合作用主要由焓变驱动, 同时伴随着微弱的正负熵变.