the partition function
111UBASIC — is a freeware BASIC interpreter written by Yuji Kida at Rikkyo University in Japan, specialized on mathematical computing. UBASIC features and discussionUBASIC is a ready to run language that does not need to be set up with some other advanced… …
112Identical particles — Statistical mechanics Thermodynamics · …
113Curie's law — In a paramagnetic material the magnetization of the material is (approximately) directly proportional to an applied magnetic field. However, if the material is heated, this proportionality is reduced: for a fixed value of the field, the… …
114Field-theoretic simulation — A field theoretic simulation is a numerical strategy to calculate structure and physical properties of a many particle system within the framework of a statistical field theory, like e.g. a polymer field theory. A convenient possibility is to use …
115Spin isomers of hydrogen — Spin Isomers of Molecular Hydrogen Molecular hydrogen occurs in two isomeric forms, one with its two proton spins aligned parallel (orthohydrogen), the other with its two proton spins aligned antiparallel (parahydrogen).[1] At room temperature… …
116Gas in a box — In quantum mechanics, the results of the quantum particle in a box can be used to look at the equilibrium situation for a quantum ideal gas in a box which is a box containing a large number of molecules which do not interact with each other… …
117Jacobi triple product — In mathematics, the Jacobi triple product is a relation that re expresses the Jacobi theta function, normally written as a series, as a product. This relationship generalizes other results, such as the pentagonal number theorem.Let x and y be… …
118Vertex model — A vertex model is a type of statistical mechanics model in which the Boltzmann weights are associated with a vertex in the model (representing an atom or particle). This contrasts with a nearest neighbour model, such as the Ising model, in which… …
119Transfer-matrix method — In physics and mathematics, the transfer matrix method is a general technique for solving problems in statistical mechanics. The basic idea is to write the partition function in the form:mathcal{Z} = mathbf{v} {0} cdot left{ prod {k=1}^{N}… …
120Itō diffusion — In mathematics mdash; specifically, in stochastic analysis mdash; an Itō diffusion is a solution to a specific type of stochastic differential equation. Itō diffusions are named after the Japanese mathematician Kiyoshi Itō.OverviewA (time… …
