the partition function

  • 1Partition function (mathematics) — The partition function or configuration integral, as used in probability theory, information science and dynamical systems, is an abstraction of the definition of a partition function in statistical mechanics. It is a special case of a… …

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  • 2Partition function (statistical mechanics) — For other uses, see Partition function (disambiguation). Partition function describe the statistical properties of a system in thermodynamic equilibrium. It is a function of temperature and other parameters, such as the volume enclosing a gas.… …

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  • 3Partition function (quantum field theory) — In quantum field theory, we have a generating functional, Z [J] of correlation functions and this value, called the partition function is usually expressed by something like the following functional integral::Z [J] = int mathcal{D}phi e^{i(S… …

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  • 4Vibrational partition function — The vibrational partition function traditionally refers to the component of the canonical partition function resulting from the vibrational degrees of freedom of a system. The vibrational partition function is only well defined in model systems… …

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  • 5Translational partition function — In statistical mechanics, the translational partition function is that part of the partition function resulting from the movement (translation) of the center of mass. It is derived in the same way as the partition function for the canonical… …

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  • 6Derivation of partition function — Consider a system [1] S embedded into a heat bath B. The total Energy of the system S and B is E. Let pi denote the probability that the system S is in microstate i with Energy Ei. The probability …

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  • 7Partition (number theory) — Young diagrams associated to the partitions of the positive integers 1 through 8. They are so arranged that images under the reflection about the main diagonal of the square are conjugate partitions. In number theory and combinatorics, a… …

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  • 8Partition — Generally, a partition is a splitting of something into parts. The term is used in a variety of senses: Law *Partition (law), to divide up a piece of land into separate portions representing the proportionate interests of the tenants. It may also …

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  • 9Partition d'un entier — Pour les articles homonymes, voir Partition.  En particulier en mathématiques, ne pas confondre avec la notion de partition de l unité ni celle de partition d un ensemble …

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  • 10Partition of Ireland — The partition of Ireland (Irish: críochdheighilt na hÉireann) was the division of the island of Ireland into two distinct territories, now Northern Ireland (a part of the United Kingdom) and the Republic of Ireland (an independent state).… …

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