首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到2条相似文献,搜索用时 0 毫秒
1.
Smoluchowski's coagulation equation for irreversible aggregation with constant kernel is considered in its discrete version wherec t =c 1 (t) is the concentration ofl-particle clusters at timet. We prove that for initial data satisfyingc 1(0)>0 and the condition 0 c l (0) <A (1+)-l (A >0), the solutions behave asymptotically likec 1 (t)t –2c(lt–1) ast withlt –1 kept fixed. The scaling function c() is (1/gr), where , a conserved quantity, is the initial number of particles per unit volume. An analous result is obtained for the continuous version of Smoluchowski's coagulation equation wherec(v, t) is the oncentration of clusters of sizev.  相似文献   

2.
A local agglomeration of cooperators can support the survival or spreading of cooperation, even when cooperation is predicted to die out according to the replicator equation, which is often used in evolutionary game theory to study the spreading and disappearance of strategies. In this paper, it is shown that success-driven motion can trigger such local agglomeration and may, therefore, be used to supplement other mechanisms supporting cooperation, like reputation or punishment. Success-driven motion is formulated here as a function of the game-theoretical payoffs. It can change the outcome and dynamics of spatial games dramatically, in particular as it causes attractive or repulsive interaction forces. These forces act when the spatial distributions of strategies are inhomogeneous. However, even when starting with homogeneous initial conditions, small perturbations can trigger large inhomogeneities by a pattern-formation instability, when certain conditions are fulfilled. Here, these instability conditions are studied for the prisoner’s dilemma and the snowdrift game. Furthermore, it is demonstrated that asymmetrical diffusion can drive social, economic, and biological systems into the unstable regime, if these would be stable without diffusion.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号