Critical Phenomena and Diffusion in Complex Systems
نویسندگان
چکیده
The nonlinear dynamics of complex systems is one of the most exciting and fastest growing branches of modern sciences. This research area is at the forefront in interdisciplinary research and it has an increasingly important impact on a variety of applied subjects ranging from the study of turbulence and the behavior of the weather, through the investigation of electrical and mechanical oscillations in condensed matter systems, to the physics of nano-structures and nano-devices, and to the analysis of biological and economic phenomena. Transport in ion-channels, synchronization/coherence in biological extended systems, virus propagation, forecasting protocols are just a few examples that illustrate the subtle beneficial synergy between noise and nonlinearity. Complex systems may have extremely rich coherent dynamics due to the environmental noise and, in specific points of their phase space, are extremely sensitive to external perturbations. The performance of any complex system depends on a correct information exchange
منابع مشابه
Introduction to Schramm-Loewner evolution and its application to critical systems
In this short review we look at recent advances in Schramm-Loewner Evolution (SLE) theory and its application to critical phenomena. The application of SLE goes beyond critical systems to other time dependent, scale invariant phenomena such as turbulence, sand-piles and watersheds. Through the use of SLE, the evolution of conformally invariant paths on the complex plane can be followed; hence a...
متن کاملA numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon
This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower.The mathematical modelling of invasions of species in more complex settings that include ...
متن کاملBalanced clusters and diffusion process in signed networks
In this paper we study the topology effects on diffusion process in signed networks. Considering a simple threshold model for diffusion process, it is extended to signed networks and some appropriate definitions are proposed. This model is a basic model that could be extended and applied in analyzing dynamics of many real phenomena such as opinion forming or innovation diffusion in social netwo...
متن کاملEstimation of Binary Infinite Dilute Diffusion Coefficient Using Artificial Neural Network
In this study, the use of the three-layer feed forward neural network has been investigated for estimating of infinite dilute diffusion coefficient ( D12 ) of supercritical fluid (SCF), liquid and gas binary systems. Infinite dilute diffusion coefficient was spotted as a function of critical temperature, critical pressure, critical volume, normal boiling point, molecular volume in normal boilin...
متن کاملBalancing Management and Leadership in Complex Health Systems; Comment on “Management Matters: A Leverage Point for Health Systems Strengthening in Global Health”
Health systems, particularly those in low- and middle-income countries (LMICs), need stronger management and leadership capacities. Management and leadership are not synonymous, yet should be considered together as there can be too much of one and not enough of the other. In complex adaptive health systems, the multiple interactions and relationships between people and elements of the system me...
متن کاملA review of agent-based modeling (ABM) concepts and some of its main applications in management science
We live in a very complex world where we face complex phenomena such as social norms and new technologies. To deal with such phenomena, social scientists often use reductionism approach where they reduce them to some lower-lever variables and model the relationships among them through a scheme of equations. This approach that is called equation based modeling (EBM) has some basic weaknesses in ...
متن کامل