Thermodynamics of rotating Lovelock-Lifshitz black branes

We investigate the thermodynamics of rotating Lovelock-Lifshitz black branes. We calculate the conserved and thermodynamic quantities of the solutions and obtain a relation between energy, entropy, and angular momentum densities with temperature and angular velocity. We also obtain a Smarr-type formula for the energy density as a function of entropy and angular momentum densities, and we show that the thermodynamic quantities calculated in this paper satisfy the first law of thermodynamics. Finally, we investigate the stability of black brane solutions in both canonical and grand-canonical ensemble. We find that the solutions are thermally stable for z <= n - 1, while they can be unstable for z > n - 1.