Self-organized heat transport near the superfluid transition in ⁴He

Heat transport through a column of superfluid ⁴ He has been observed experimentally to self-organize, resulting in a thermal gradient that exactly matches the gradient in the superfluid transition temperature across the column, leaving the entire sample at a constant distance from the superfluid critical point¹. We describe a new experiment that is designed to accomplish three objectives: 1) search for the upper critical heat flux above which self-organized heat transport can no longer occur, 2) measure the heat capacity of the self-organized heat transport state, and 3) test recent theoretical predictions ²,3 of the microscopic mechanism that is responsible for this self-organization. PACS numbers: 64.60 Ht, 66.60 +a, 67.40 Pm.