# Thermodynamics in f(T) gravity with nonminimal coupling to matter

## TL;DR

This paper investigates the thermodynamic properties of generalized f(T) gravity with matter-torsion coupling, analyzing the first and second laws of thermodynamics in cosmological horizons under equilibrium and non-equilibrium conditions.

## Contribution

It introduces a detailed analysis of thermodynamics in f(T) gravity with matter coupling, including the verification of thermodynamic laws in different descriptions.

## Key findings

- First law of thermodynamics holds in both equilibrium and non-equilibrium cases.
- Second law of thermodynamics is valid assuming matter and horizon temperatures are equal.
- Thermodynamic behavior depends on the coupling between matter and torsion scalar.

## Abstract

In the present paper, we study the thermodynamics behavior of the field equations for the generalized f(T) gravity with an arbitrary coupling between matter and the torsion scalar. In this regard, we explore the verification of the first law of thermodynamics at the ap- parent horizon of the Friedmann-Robertson-Walker universe in two different perspectives namely the non-equilibrium and equilibrium de- scriptions of thermodynamics. Furthermore, we investigate the valid- ity of the second law of thermodynamics for both descriptions of this scenario with assumption that the temperature of matter inside the horizon is similar to that of horizon.