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163 | Nigel Goldenfeld on Phase Transitions, Criticality, and Biology

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

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Percolation and Phase Transitions

This chapter explores directed percolation through the analogy of coffee-making, illustrating how the arrangement of coffee grounds parallels critical phase transitions in physics. It highlights the intriguing connections between different systems, such as ecological dynamics and fluid turbulence, emphasizing universality classes. Additionally, the chapter examines the dynamics of stability and critical thresholds in both ecosystems and physical systems, using predator-prey interactions as a core example.

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