Examples of using The partition function in English and their translations into Indonesian
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Ecclesiastic
It's called the partition function for.
For instance, the partition function of a gas of N classical particles is.
This means that the expression for the partition function becomes.
The partition function is a function of the temperature T and the microstate energies E1, E2, E3.
For simplicity, we will use the discrete form of the partition function in this section.
The partition function is a measure of the number of states accessible to the system at a given temperature.
In this example, the arguments to the Partition function are start= 0, stop= 500, interval= 50.
Two central quantities instatistical thermodynamics are the Boltzmann factor and the partition function.
In this case we must describe the partition function using an integral rather than a sum.
The partition function can be related to thermodynamic properties because it has a very important statistical meaning.
In this section, we will state the relationships between the partition function and the various thermodynamic parameters.
The Partition function identifies the particular range in which number falls and returns a Variant(String) describing that range.
The Partition function is used first to establish these ranges, then the SQL Count function counts the number of orders in each range.
Sometimes, we also have other variables to add to the partition function, one corresponding to each conserved quantity.
The partition function can be used to find the expected(average) value of any microscopic property of the system, which can then be related to macroscopic variables.
In this case the equipartition theorem may be derived from the partition function Z(β), where β 1/(kBT) is the canonical inverse temperature.
Most of the thermodynamic variables of the system, such as the total energy, free energy, entropy, and pressure,can be expressed in terms of the partition function or its derivatives.
In the case of degenerate energy levels,we can write the partition function in terms of the contribution from energy levels(indexed by j) as follows.
Although equipartition provides a simple derivation of the ideal-gas law and the internal energy, the same results canbe obtained by an alternative method using the partition function.
All macroscopic thermodynamic properties of a system may be calculated from the partition function that sums the energy of all its microstates.
Subsequently, these equations can be combined with known thermodynamic relationships between and to arrive at an expression for in terms of only temperature,volume and the partition function.
In classical statistical mechanics,it is not really correct to express the partition function as a sum of discrete terms, as we have done.
In 1918, Hardy and Ramanujan studied the partition function P(n) extensively and gave a non-convergent asymptotic series that permits exact computation of the number of partitions of an integer.
With a model of the microscopic constituents of a system, one can calculate the microstate energies,and thus the partition function, which will then allow us to calculate all the other thermodynamic properties of the system.
In the case of degenerate energy levels,we can write the partition function in terms of the contribution from energy levels(indexed by j) as follows: Z∑ j g j⋅ e- β E j,{\displaystyle Z=\sum_{ j} g_{ j}\ cdot\mathrm{e}^{-\beta E_{j}},} where gj is the degeneracy factor, or number of quantum states s that have the same energy level defined by Ej Es.
It is available via its traditional derivation(a mechanical equation of state), or via a derivation based in statistical thermodynamics,the latter of which provides the partition function of the system and allows thermodynamic functions to be specified.