Memory is a ubiquitous characteristic of complex systems, and critical phenomena are one the most intriguing in nature. Here, we propose an Ising model with memory, develop corresponding theory memory for discover series surprising novel results. We show that naive usual Hamiltonian direct inclusion power-law decaying long-range temporal interaction violates radically hyperscaling law all spati...

A population can explode if its birth rate exceeds its death rate, but otherwise it becomes extinct. The nature of the population’s evolution depends critically on which way the balance tips between adding new members and losing old ones. A porous rock with randomly arranged microscopic pores has water spilled on top. If there are few pores, the water will not percolate through the rock, but if...