Nonlinear Fluctuating Hydrodynamics for the Classical XXZ Spin Chain

  title={Nonlinear Fluctuating Hydrodynamics for the Classical XXZ Spin Chain},
  author={Avijit Kumar Das and Kedar Damle and Abhishek Dhar and David A. Huse and Manas Kulkarni and Christian B. Mendl and Herbert Spohn},
  journal={Journal of Statistical Physics},
  • A. Das, K. Damle, +4 authors H. Spohn
  • Published 31 December 2018
  • Physics, Mathematics
  • Journal of Statistical Physics
Using the framework of nonlinear fluctuating hydrodynamics (NFH), we examine equilibrium spatio-temporal correlations in classical ferromagnetic spin chains with nearest neighbor interactions. In particular, we consider the classical XXZ-Heisenberg spin chain (also known as Lattice Landau Lifshitz or LLL model) evolving deterministically and chaotically via Hamiltonian dynamics, for which energy and $z$-magnetization are the only locally conserved fields. For the easy-plane case, this system… 
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