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Jacobian Matrix Mathematical & Computational Physics Coordinate Transformation Factor A matrix of all first-order partial derivatives of a vector-valued multivariable function, representing local linear coordinate transformations. J_ij = ∂f_i / ∂x_j, dV' = |det J| dV Josephson Effect Condensed Matter & Materials Physics mA (Current), μV (Voltage) The quantum tunneling of Cooper pairs across a thin insulating barrier separating two superconductors (a Josephson junction). I = I_c sin(Δφ), V = (ℏ / 2e) (dΔφ / dt) Joule Heating Electromagnetism & Electronics J (Joules) The process in which the flow of electric current through a conductor generates thermal energy due to electrical resistance. H = I² R t = P t Joule-Thomson Effect Thermodynamics & Statistical Physics K/Pa The temperature change experienced by a real gas when throttled through an insulated porous plug or valve at constant enthalpy. μ_JT = (∂T / ∂P)_H