Conduction is the transfer of thermal energy through a solid or stationary fluid by direct molecular interaction. In this mode, heat flows from high to low temperature regions via collisions and vibrations of molecules or atoms, without any bulk movement of the material. Fourier’s law mathematically describes conductive heat flux as proportional to the temperature gradient: <pre>[ q = -k, A, frac{dT}{dx} ]</pre>
, where k is the thermal conductivity. The mechanism differs slightly by phase: in gases and liquids, conduction occurs through random molecular collisions and diffusion, whereas in solids it occurs through lattice vibrations and transport by free electrons. Conductive heat transfer is typically slow compared to convection, especially in materials with low thermal conductivity (e.g. plastics or stagnant gases).