Experiments show that the liquid helium-4 has either superfluid phase or solid phase when tem- perature decreases or the pressure of the system changes. In this paper, we discuss the equations which govern these phase...Experiments show that the liquid helium-4 has either superfluid phase or solid phase when tem- perature decreases or the pressure of the system changes. In this paper, we discuss the equations which govern these phase transitions and derive the criterions for these phase changes. Meanwhile, we give related approxi- mate solutions and draw the phase diagram. In addition, we also prove that the liquid helium-4 bifurcates from the trivial solution to an attractor as parameters cross certain critical value. The topological structure of the bifurcated attractor is also illustrated.展开更多
文摘Experiments show that the liquid helium-4 has either superfluid phase or solid phase when tem- perature decreases or the pressure of the system changes. In this paper, we discuss the equations which govern these phase transitions and derive the criterions for these phase changes. Meanwhile, we give related approxi- mate solutions and draw the phase diagram. In addition, we also prove that the liquid helium-4 bifurcates from the trivial solution to an attractor as parameters cross certain critical value. The topological structure of the bifurcated attractor is also illustrated.
