# Difference between revisions of "Temperature"

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==Inverse temperature== | ==Inverse temperature== | ||

− | It is frequently convenient to define a so-called | + | It is frequently convenient to define a so-called [[inverse temperature]], <math>\beta</math>, such that |

:<math>\beta := \frac{1}{k_BT}</math> | :<math>\beta := \frac{1}{k_BT}</math> |

## Revision as of 12:28, 4 March 2010

The **temperature** of a system in classical thermodynamics is intimately related to the zeroth law of thermodynamics; two systems having to have the same temperature if they are to be in thermal equilibrium (i.e. there is no net heat flow between them).
However, it is most useful to have a temperature scale.
By making use of the ideal gas law one can define an absolute temperature

however, perhaps a better definition of temperature is

where is the entropy.

## Contents

## Units

Temperature has the SI units of *kelvin* (K) (named in honour of William Thomson) The kelvin is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water.

#### External links

## Kinetic temperature

where is the Boltzmann constant. The kinematic temperature so defined is related to the equipartition theorem; for more details, see Configuration integral.

## Configurational temperature

- Hans Henrik Rugh "Dynamical Approach to Temperature", Physical Review Letters
**78**pp. 772-774 (1997) - András Baranyai "On the configurational temperature of simple fluids", Journal of Chemical Physics
**112**pp. 3964-3966 (2000)

## Non-equilibrium temperature

- Alexander V. Popov and Rigoberto Hernandez "Ontology of temperature in nonequilibrium systems", Journal of Chemical Physics
**126**244506 (2007) - J.-L. Garden, J. Richard, and H. Guillou "Temperature of systems out of thermodynamic equilibrium", Journal of Chemical Physics
**129**044508 (2008)

## Inverse temperature

It is frequently convenient to define a so-called inverse temperature, , such that

## See also

## References

- William Thomson "On an Absolute Thermometric Scale, founded on Carnot's Theory of the Motive Power of Heat, and calculated from the Results of Regnault's Experiments on the Pressure and Latent Heat of Steam", Philosophical Magazine
**October**pp. (1848) - H. Preston-Thomas "The International Temperature Scale of 1990 (ITS-90)", Metrologia
**27**pp. 3-10 (1990) - H. Preston-Thomas "ERRATUM: The International Temperature Scale of 1990 (ITS-90)", Metrologia
**27**p. 107 (1990)