  We study the spin dynamics in antiferromagnetic nanowire under an applied
temperature gradient using micromagnetic simulations on a classical spin model
with a uniaxial anisotropy. The entropic torque driven domain-wall motion and
the Brownian motion are discussed in detail, and their competition determines
the antiferromagnetic wall motion towards the hotter or colder region.
Furthermore, the spin dynamics in an antiferromagnet can be well tuned by the
anisotropy and the temperature gradient. Thus, this paper not only strengthens
the main conclusions obtained in earlier works [Kim et al., Phys. Rev. B 92,
020402(R) (2015); Selzer et al., Phys. Rev. Lett. 117, 107201 (2016)], but more
importantly gives the concrete conditions under which these conclusions apply,
respectively. Our results may provide useful information on the
antiferromagnetic spintronics for future experiments and storage device design.
