
Resistance to heat flow at interfaces between materials, often measured at microscopic scales.Thermal boundary resistance, also known as Kapitza resistance, is the resistance to heat flow that occurs at the interface between two different materials. Even when two surfaces are in perfect contact, the difference in their atomic vibrations (phonons) and electronic properties makes it difficult for heat to pass directly across the boundary. This effect becomes especially significant at microscopic scales, where interfaces dominate the overall thermal behavior of a system.
The effect was first characterized by Peter Kapitza in 1941 while studying heat transfer between liquid helium and solid copper, and it is sometimes called Kapitza resistance.
Heat is carried through solids primarily by phonons (quantized lattice vibrations) and electrons. At an interface, a phonon arriving from one material must either transmit into the other material or reflect back. Because the two materials have different vibrational spectra and acoustic impedances, many phonons are reflected, creating a temperature drop at the boundary. The resistance is quantified as the ratio of this temperature discontinuity to the heat flux across the interface.
Thermal boundary resistance is a critical factor in cooling microelectronics, such as computer chips, where heat must pass through many material interfaces; it also affects the design of thermal interface materials, thermoelectric devices, and cryogenic systems.
In some cases, thermal boundary resistance can be reduced by adding a thin intermediate layer with intermediate properties, acting like a 'bridge' for phonons.
| K | variable | bulk modulus of the material — bulk modulus pascal |
| V | variable | volume of the material — volume cubic metre |
| P | variable | pressure applied to the material — pressure pascal |
| dP/dV | operator | instantaneous rate of change of pressure as volume changes — derivative |
| k_J | variable | Jeans wavenumber — wavenumber reciprocal metre |
| \rho | variable | Mass density — mass density kilogram per cubic metre |
| c_s | variable | Sound speed — speed of sound metre per second |
| G | constant | Universal constant of gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| a_n | variable | n-th term of the sequence — sequence term |
| a_{n+1} | variable | (n+1)-th term of the sequence — sequence term |
| n | variable | index of the term — index |
| limsup | operator | limit superior (largest accumulation point) — limit superior |
| | | | operator | absolute value (magnitude) — absolute value |







