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tiger2012
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I heard of it several times in colloquiums. But I still cannot grasp the meaning. What is the control parameter in this phase transition?
A. Neumaier said:It doesn't denote a unique phenomenon. Which context do you refer to?
One meaning of the term was introduced in
M. Heyl, A. Polkovnikov, and S. Kehrein, Phys. Rev. Lett. 110, 135704 (2013);
they mention several other meanings of the term in the second last paragraph of p.4.
A dynamical phase transition is a phenomenon that occurs in complex systems when there is a sudden change in the dynamics or behavior of the system at a critical point. This can happen due to small changes in parameters or interactions within the system, leading to large-scale changes in its behavior.
A regular phase transition, such as the transition between liquid and gas states of matter, occurs due to changes in temperature or pressure. On the other hand, a dynamical phase transition happens due to changes in the dynamics or interactions within a system, regardless of external parameters like temperature.
Examples of systems that exhibit dynamical phase transitions include physical systems like magnets and fluids, as well as complex systems like neural networks and ecosystems. These transitions can also occur in social systems such as stock markets and traffic flow.
Dynamical phase transitions can have significant implications in various fields, such as physics, biology, and social sciences. They can help us understand and predict the behavior of complex systems, and also have practical applications in fields like materials science and artificial intelligence.
Scientists study and identify dynamical phase transitions through various methods, including mathematical modeling, computer simulations, and experimental observations. They look for sudden changes in the behavior of a system, as well as critical points where these changes occur. They also analyze the dynamics and interactions within the system to understand the underlying mechanisms of the transition.