Manual Theory of dynamic critical phenomena

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Dynamic Critical Phenomena of Polymer Solutions | Journal of the Physical Society of Japan

Department of Physics, Kyushu University, Fukuoka. The example explored here in a system of pulse-coupled oscillators that are arranged on a two-dimensional lattice and interact with their neighbors by delivering excitatory pulses to them and receiving them in return.

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This model is sometimes used to study synchronization and can capture the dynamics of activation in layers of neurons as well as the spatial patterns of signaling molecules that play a role in microbial aggregation processes. This explorable illustrates an important feature of complex networks: the emergence of the giant component. Networks often have multiple components. A component is a part of the network where we can find a path between any two nodes by traversing links.

This explorable illustrates the mechanism of herd immunity. When an infectious disease spreads in a population, an individual can be protected by a vaccine that delivers immunity. But there's a greater good. Immunization not only projects the individual directly.

The immunized person will also never transmit the disease to others, effectively reducing the likelihood that the disease can proliferate in the population. Because of this, a disease can be eradicated even if not the entire population is immunized. This population wide effect is known as herd immunity. This explorable illustrates a network model that captures how opinion dynamics might work in a population and how clusters of uniform opinion might naturally emerge from an initially random system. The model is a variant of a model introduced by P.

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Phase Transitions & Critical Phenomena (CMP-PT) Lecture 1

Sign up for new issue notifications. Two different models exhibiting self-organized criticality are analysed by means of the dynamic renormalization group.


Although the two models differ by their behaviour under a parity transformation of the order parameter, it is shown that they both belong to the same universality class, in agreement with computer simulations. The asymptotic values of the critical exponents are estimated up to one-loop order from a systematic expansion of a non-linear equation in the number of coupling constants. This site uses cookies.

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