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Thermodynamics & Statistical Physics

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Temperature Thermodynamics & Statistical Physics K (°C, °F) A macroscopic scalar measure of the average translational kinetic energy of constituent particles in a physical system. 1 / T = (∂S / ∂U)_V, E_avg = (3/2) kB T Thermal Conduction Thermodynamics & Statistical Physics W/m² (k in W/(m·K)) The transfer of thermal energy through a stationary medium via microscopic particle collisions and free electron movement without bulk fluid movement. q = -k A (dT/dx) (Fourier's Law) Thermal Convection Thermodynamics & Statistical Physics W (h in W/(m²·K)) The transfer of heat energy between a solid surface and an adjacent moving fluid, driven by bulk fluid motion. q = h A (T_surface - T_fluid) (Newton's Law of Cooling) Thermal Efficiency Thermodynamics & Statistical Physics Dimensionless (%) The dimensionless ratio of net mechanical work produced by a heat engine to total thermal energy input supplied. η = W_net / Q_input = 1 - (Q_out / Q_in) Thermal Radiation Thermodynamics & Statistical Physics W The emission of electromagnetic energy from matter due to thermal agitation of its charged constituent particles. P = ε σ A T⁴ (Stefan-Boltzmann Law) Thermal Stress Thermodynamics & Statistical Physics Pa (N/m²) Mechanical stress developed within a material when thermal expansion or contraction is constrained by rigid boundaries. σ = E α ΔT Third Law of Thermodynamics Thermodynamics & Statistical Physics J/K The law stating that as system temperature approaches absolute zero (0 K), entropy of a pure crystalline substance approaches a minimum constant value of zero. lim (T → 0) S = 0