In conventional fluids, viscosity depends on temperature according to a strict relationship. To change this relationship, one must change the molecular nature of the fluid. Here, we create a metafluid whose properties are derived not from the properties of molecules but rather from chaotic waves excited on the surface of vertically agitated water. By making direct rheological measurements of the flow properties of our metafluid, we show that it has independently tunable viscosity and temperature, a quality that no conventional fluid possesses. We go on to show that the metafluid obeys the Einstein relation, which relates many-body response (viscosity) to single-particle dynamics (diffusion) and is a fundamental result in equilibrium thermal systems. Thus, our metafluid is wholly consistent with equilibrium thermal physics, despite being markedly nonequilibrium. Taken together, our results demonstrate a type of material that retains equilibrium physics while simultaneously allowing for direct programmatic control over material properties.Faraday waves | metafluid | emergent thermodynamics M aterials science seeks not only to understand but also to control the properties of matter. To do so, one must dynamically change the nature of conventional materials at the molecular scale. Recent work circumvents this problem by rejecting the molecule as the fundamental unit and substituting a macroscopic structural element. This approach has successfully created metamaterials with novel optical (1-3), acoustic (4-6), mechanical (7-9), and fluid properties (10, 11) that would otherwise be impossible. However, this approach comes at a cost: by deriving their properties from macroscopic, nonequilibrium, or anisotropic elements, these materials necessarily abandon the physics of thermal systems. In this work, using a combination of active and passive rheology, we show that macroscopic chaotic surface waves on a vertically agitated fluid form a fully thermal metafluid with dynamically tunable material properties. In contrast to a conventional fluid in which viscosity and temperature are inextricably linked, we show that these quantities are independently tunable in our system. We further demonstrate that by satisfying the barest criteria of isotropy and steady-state chaos [as required by kinetic theory (12, 13)], we have created a system that obeys the Einstein relation (14). Thus, despite being macroscopic and nonequilibrium, the system is well described by equilibrium thermal physics.The "molecules" of our metafluid are chaotic Faraday waves (15, 16), generated in a water-filled aluminum dish that is vertically oscillated with rms amplitude A s and at frequency f s (Fig. 1 A and C; see Materials and Methods for technical details). The waves uniformly cover the surface of the water and experience significant pinning only at the boundary, far from where our measurements are conducted. The chaos and wave density is holistically steady state, although the existence of a particular wave is transient. Thus, "collisions" in our syste...