# Difference between revisions of "Temperature"

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:<math>T = \frac{2}{3} \frac{1}{k_B} \overline {\left(\frac{1}{2}m_i v_i^2\right)}</math> | :<math>T = \frac{2}{3} \frac{1}{k_B} \overline {\left(\frac{1}{2}m_i v_i^2\right)}</math> | ||

− | where <math>k_B</math> is the [[Boltzmann constant]]. The kinematic temperature so defined is related to the equipartition theorem; for more details, see [http://clesm.mae.ufl.edu/wiki.pub/index.php/Configuration_integral_%28statistical_mechanics%29 Configuration integral]. | + | where <math>k_B</math> is the [[Boltzmann constant]]. The kinematic temperature so defined is related to the [[equipartition]] theorem; for more details, see [http://clesm.mae.ufl.edu/wiki.pub/index.php/Configuration_integral_%28statistical_mechanics%29 Configuration integral]. |

==Configurational temperature== | ==Configurational temperature== |

## Revision as of 13:35, 7 May 2008

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

## 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

## Non-equilibrium temperature

## 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)