Thermodynamics of dynamical wormholes

We study thermodynamics of dynamical traversable wormholes. These wormholes are investigated in the background of different cosmological models, with and without the cosmological constant, and which include the power-law and exponential cosmologies also. We work out the generalized surface gravity for wormholes of different shapes. The surface gravity is evaluated at the trapping horizon and the unified first law of thermodynamics is set up. The thermodynamic stability of these wormholes has also been investigated. Some cases of asymptotically flat, de Sitter and anti-de Sitter wormholes have been considered as well. Our results generalize those that exist for static Morris-Thorne wormholes.