Question: A phase transition occurs when a system moves from a disordered state to an ordered one or vice-versa. Common phase transitions include melting and freezing,

A phase transition occurs when a system moves from a disordered state to an ordered one or vice-versa. Common phase transitions include melting

and freezing, buckling, and ferromagnetism. An effective field model of of a

phase transition approximates the transition with a polynomial potential, e.g., U(x) =

A phase transition occurs when a system moves from a disordered state to an ordered one or vice-versa. Common phase transitions include melting and freezing, buckling, and ferromagnetism. An effective field model of of a phase transition approximates the transition with a polynomial potential, e.g., U(x) = Ax4 + (To-T) Bx2 where T is the current temperature, To is the transition temperature, and A and B are constants. The variable x is called the order parameter, and it describes how much order there is in the ordered state at a particular temperature. Take a system with: A = 208 J/m4 B = 53 J/(m2.K) To = 128 K(c) What are the critical points for T = 256 K? [Enter the critical points from least (or most negative) to largest (most positive). For any extra critical points choose -255 (with no units) and neutral equilibrium. Type: OStable OUnstable ONeutral Type: OStable OUnstable ONeutral Type: OStable OUnstable ONeutral Type: OStable OUnstable ONeutral Type: OStable OUnstable ONeutral

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