  This work investigates the validity of the generalized second law of
thermodynamics in modified f(R) Horava-Lifshitz gravity proposed by Chaichian
et al (2010) [Class. Quantum Grav. 27 (2010) 185021], which is invariant under
foliation-preserving diffeomorphisms. It has been observed that the equation of
state parameter behaves like quintessence (w > -1). We study the thermodynamics
of the apparent, event and particle horizons in this modified gravity. We
observe that under this gravity, the time derivative of total entropy stays at
positive level and hence the generalized second law is validated.
