All Topics  
Configuration integral

 

   Email Print
   Bookmark   Link






 

Configuration integral



 
 
The classical configuration integral, more commonly called the partition function
Partition 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....
, and






Discussion
Ask a question about 'Configuration integral'
Start a new discussion about 'Configuration integral'
Answer questions from other users
Full Discussion Forum



Encyclopedia


The classical configuration integral, more commonly called the partition function
Partition 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....
, and sometimes referred to as the configurational partition function, for a system with particles is defined as follows:

where is the volume enclosing the particles, a constant defined as
with being the

Boltzmann constant
Boltzmann constant

The Boltzmann constant is the physical constant relating energy at the particle level with temperature observed at the bulk level. It is the gas constant R divided by the Avogadro constant NA:...
the

thermodynamic temperature the potential energy of interparticle forces, the positions in the 3-D space of the particles, with and the coordinate of the particle, and an infinitesimal volume. The configuration integral has many applications from the ligand
Ligand

In chemistry, a ligand is either an atom, ion, or molecule that bonds to a central metal, generally involving formal donation of one or more of its electrons....
-receptor
Receptor

Receptor may refer to:*Sensory receptor, in physiology, any structure which, on receiving environmental stimuli, produces an informative nerve impulse...
 binding affinity in biochemistry
Biochemistry

Biochemistry is the study of the chemistry processes in living organisms. It deals with the structure and function of cellular components such as proteins, carbohydrates, lipids, nucleic acids and other biomolecules....
 to turbulence
Turbulence

In fluid dynamics, turbulence or turbulent flow is a fluid regime characterized by chaotic, stochastic property changes. This includes low momentum diffusion, high momentum convection, and rapid variation of pressure and velocity in space and time....
 in fluid mechanics. For a detailed derivation, see the comprehensive article.