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srallaba
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- What is a run away solution?
I was asked to show that a system has run away solutions, the implications of which are that it is inherently unstable.
srallaba said:I was asked to show...
bhobba said:It has acausal runaway solutions as detailed in the paper.
Sorry for the confusion. I just wanted what 'run away' implies.Swamp Thing said:... by whom, and in what course, about what kind of system? -- That kind of context might help other members to target your problem a lot better. Stability is a multidisciplinary topic where context would help narrow down to what you need.
Causality in this sense is not a fundamental microscopic law, but an emergent macroscopic law. It is closely related to the 2nd law of thermodynamics.vanhees71 said:At the end everything should be retarded in classical electrodynamics due to causality.
A runaway solution occurs when a system's behavior becomes increasingly unstable and unpredictable over time. This can happen when the system is subjected to external forces or when internal feedback loops become too strong.
An unstable system can have serious consequences, as it can lead to unexpected and potentially harmful outcomes. This can be especially problematic in complex systems, such as ecosystems or financial markets, where small changes can have ripple effects throughout the entire system.
Scientists use mathematical models and simulations to study the behavior of systems and identify potential runaway solutions. They also conduct experiments and gather data to validate these models and make predictions about the behavior of real-world systems.
In some cases, it is possible to prevent or mitigate runaway solutions by identifying and addressing the underlying causes of instability. This may involve implementing control measures or making changes to the system's design or structure.
One example of a runaway solution is the collapse of a fish population due to overfishing. As the population decreases, there are fewer fish to reproduce and replenish the population, leading to a downward spiral. Another example is the stock market crash of 1929, where a series of events and feedback loops led to a rapid and severe decline in stock prices.