Partition Function


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partition function

[pär′tish·ən ‚fəŋk·shən]
(statistical mechanics)
The integral, over the phase space of a system, of the exponential of (-E / kT), where E is the energy of the system, k is Boltzmann's constant, and T is the temperature; from this function all the thermodynamic properties of the system can be derived.
In quantum statistical mechanics, the sum over allowed states of the exponential of (-E / kT). Also known as sum of states; sum over states.

Partition Function

 

In quantum statistical mechanics, the partition function is the inverse of the normalization factor of a Gibbs canonical distribution; other terms used in this field for the partition function are “sum of states” and “sum over states.” In classical statistical mechanics, the corresponding quantity is also known as the partition function. The partition function permits calculation of all thermodynamic potentials.

References in periodicals archive ?
N] (n) by considering the generalised partition function [mathematical expression not reproducible] defined by
The multivariate spline and the vector partition function are
It is not straight forward to visualize the fields, the dynamics of whom are described by the anisotropy of space time, but we can use the partition function method to get a better insight into this.
This partition function only counts the dimension of the space of monomials in [lambda] with degree of homogeneity p as the coefficient of [t.
i](q, [epsilon]) is the partition function of moment order q and L is the total length of the support.
The partition function p (n) is defined as the number of partitions of n.
Some properties of pentagonal numbers and the relationship of partition functions of numbers have also been discussed.
alpha]]) = P([alpha]), where P([alpha]) is the unrestricted partition function.
Supports separate use of virtualization in multiple partitions through the hardware partition function of the "Express5800/A11160" module.
r-1] as a consequence of the call to a collective partition function g[member of].
The idea that, starting with 4, the number of partitions for every fifth integer is a multiple of 5 can be expressed compactly in the following mathematical form, where p(n), called the partition function, is the number of partitions of an integer n; [equivalent] indicates congruence; and 0 (mod 5) means that the remainder after division by 5 must be 0.