Theoretical thermodynamics connections between Dual (Left-Handed) and Direct (Right Handed) systems: Entropy, temperature, pressure and heat capacity

Spectral frequencies for Dual systems, a subclass of Left Handed materials, are straight connected to their corresponding Direct counterparts (conventional materials). This allows us to link the thermodynamics properties of both. We found analytically these connections for temperature, pressure and heat capacity. Entropies are also correlated being a basic tool to attach thermodynamically both categories of systems. It is explicitly showed that the Dual has negative temperatures and positive pressures.