Abstract
This study is conducted to examine the validity of thermodynamical laws in a modified $f(T)$ gravity involving a direct coupling of torsion scalar with matter contents. For this purpose, we consider spatially flat FRW geometry with matter contents as perfect fluid and formulate the first thermodynamical law in this gravity at apparent horizon. It is found that equilibrium description of thermodynamics exists in this modified gravity in a similar way to Einstein and other gravities. Further we discuss generalized second law of thermodynamics at apparent horizon of FRW universe for three different $f(T)$ models using Gibbs law as well as the assumption that temperature of matter within apparent horizon is similar to that of horizon. It is found that for some particular cosmologically consistent values of coupling parameters, GSLT remains valid in observationally consistent cosmic eras.
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