A collective game is studied via agent-based modeling approach,where a group of adaptive learning players seek for their best positions on a vertical line.The movements of players are driven by benefits obtained from ...A collective game is studied via agent-based modeling approach,where a group of adaptive learning players seek for their best positions on a vertical line.The movements of players are driven by benefits obtained from interactions.The game falls into an evolutionary stable state,at which aggregations of players on the line emerge.The pattern of these aggregates exhibits self-similarity at different scales with a fractal dimension of 0.58.The underlying mechanism of this aggregation is unique in that aggregates are resulted from mutual lock-in of players.This game-locked aggregation,in contrast with the diffusion limited aggregation,is applicable to a broader scope of aggregation processes.展开更多
We systematically study the size dependency of income distributions,i.e.income distribution versus the population of a country.Using the generalized Lotka--Uolterra model to fit the empirical income data for 1996-2007...We systematically study the size dependency of income distributions,i.e.income distribution versus the population of a country.Using the generalized Lotka--Uolterra model to fit the empirical income data for 1996-2007 in the U.S.A,we find an important parameter A that can scale with aβpower of the size(population)of the U.S.A.in that year.We point out that the size dependency of income distributions,which is a very important property but seldom addressed in previous studies,has two non-trivial implications:(1)the allometric growth pattern,i.e.the power-law relationship between population and GDP in different years,can be mathematically derived from the size-dependent income distributions and also supported by the empirical data;(2)the connection with the anomalous scaling for the probability density function in critical phenomena,since the re-scaled form of the income distributions has asymptotically exactly the same mathematical expression for the limit distribution of the sum of many correlated random variables.展开更多
We report the measured results of non-resonant nonlinearity by degenerate four-wave mixing for Cu2O nanopartides having central diameter of 9 nm.The value of x^(3) obtained in a 10ns pulse experiment is 8.48×1O^(...We report the measured results of non-resonant nonlinearity by degenerate four-wave mixing for Cu2O nanopartides having central diameter of 9 nm.The value of x^(3) obtained in a 10ns pulse experiment is 8.48×1O^(-10) esu,and the nonlinear response time of the sample is estimated to be in the order of nanosecond.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 61174165.
文摘A collective game is studied via agent-based modeling approach,where a group of adaptive learning players seek for their best positions on a vertical line.The movements of players are driven by benefits obtained from interactions.The game falls into an evolutionary stable state,at which aggregations of players on the line emerge.The pattern of these aggregates exhibits self-similarity at different scales with a fractal dimension of 0.58.The underlying mechanism of this aggregation is unique in that aggregates are resulted from mutual lock-in of players.This game-locked aggregation,in contrast with the diffusion limited aggregation,is applicable to a broader scope of aggregation processes.
基金Supported by National Natural Science Foundation of China under Grant Nos 61004107 and 70771012.
文摘We systematically study the size dependency of income distributions,i.e.income distribution versus the population of a country.Using the generalized Lotka--Uolterra model to fit the empirical income data for 1996-2007 in the U.S.A,we find an important parameter A that can scale with aβpower of the size(population)of the U.S.A.in that year.We point out that the size dependency of income distributions,which is a very important property but seldom addressed in previous studies,has two non-trivial implications:(1)the allometric growth pattern,i.e.the power-law relationship between population and GDP in different years,can be mathematically derived from the size-dependent income distributions and also supported by the empirical data;(2)the connection with the anomalous scaling for the probability density function in critical phenomena,since the re-scaled form of the income distributions has asymptotically exactly the same mathematical expression for the limit distribution of the sum of many correlated random variables.
文摘We report the measured results of non-resonant nonlinearity by degenerate four-wave mixing for Cu2O nanopartides having central diameter of 9 nm.The value of x^(3) obtained in a 10ns pulse experiment is 8.48×1O^(-10) esu,and the nonlinear response time of the sample is estimated to be in the order of nanosecond.