Tachyon model of Tsallis holographic dark energy

In this paper, we consider the correspondence between the tachyon dark energy model and the Tsallis holographic dark energy scenario in an FRW universe. We demonstrate the Tsallis holographic description of tachyon dark energy in an FRW universe and reconstruct the potential and basic results of the dynamics of the scalar field which describe the tachyon cosmology. In a flat universe, in the tachyon model of Tsallis holographic dark energy, independent of the existence of interaction between dark energy and matter or not, (T) over dot(2) must always be zero. Therefore, the equation of state omega(D) is always -1 in such a flat universe. For a non-flat universe, (T) over dot(2) cannot be zero so that omega(D)not equal-1 which cannot be used to explain the origin of the cosmological constant. (T) over dot(2) monotonically decreases with the increase in cos(R-h/a) and cosh(R-h/a) for different delta s. In particular, for an open universe, (T) over dot(2) is always larger than zero, while for a closed universe, (T) over dot(2) is always smaller than zero which is physically invalid. In addition, we conclude that with the increase in cos(R-h/a) and cosh (R-h/a), (T) over dot(2) always decreases monotonically irrespective of the value of b(2).