Phase transitions are fun. Change the temperature and wah-lah, water turns to ice and ice into water! Throw random bonds down on a lattice: if we occupy the sites with low probability, we form lots of isolated regions of small bonds, but if increase this probability past a the percolation threshold, wah-lah we form clusters of infinite connectivity! Change the amount of magnetic field applied transversely to an ising magnet and you find distinct magnetic phases. Oh yeah, wah-lah: quantum phase transition!
What I find most interesting about all of these different examples of phase transitions is what the knobs are which we turn in order to change phases. Most often, this knob is simply the temperature (in the first two models, this is indeed true, in the last the phase transition arises from a different knob, the transverse magnetic field.) What I’ve been curious about lately is trying to find models of phase transitions which occur as a function of time. The idea here is that you set up a system, evolve it, and at a particular time the system system undergoes a phase transition. Thus there would be a “critical time” at which the order of the system would change. I don’t know of any good examples of such temporal phase transitions. The closest I can come to are situations where a system is cooling off and hence one gets a phase transition at a particular time because the temperature is a function of time. But are there examples of temporal phase transitions without time being simply a substitute for some other “knob” we can turn for a phase transition?
Hi. 🙂
I’ve found this while googling “phase transitions space-time”.
Look at this. It seems this system is space-time itself which can go transitions in time, space-time is like a melting crystal. But they also say about the temperature of this crystal, what is it the temperature of space-time I am confused.