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The maximum-term method is a consequence of the large numbers encountered in statistical mechanics.It states that under appropriate conditions the logarithm of a summation is essentially equal to the logarithm of the maximum term in the summation.
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in the fields of physics, biology, [1] chemistry, neuroscience, [2] computer science, [3] [4] information theory [5] and ...
In statistical thermodynamics, UNIQUAC (a portmanteau of universal quasichemical) is an activity coefficient model used in description of phase equilibria. [ 1 ] [ 2 ] The model is a so-called lattice model and has been derived from a first order approximation of interacting molecule surfaces.
The microcanonical ensemble satisfies (,,) = hence, its characteristic state function is .; The canonical ensemble satisfies (,,) = hence, its characteristic state function is the Helmholtz free energy.
According to the second law of thermodynamics, a system assumes a configuration of maximum entropy at thermodynamic equilibrium. We seek a probability distribution of states ρ i {\displaystyle \rho _{i}} that maximizes the discrete Gibbs entropy S = − k B ∑ i ρ i ln ρ i {\displaystyle S=-k_{\text{B}}\sum _{i}\rho _{i}\ln \rho _{i ...
In statistical mechanics, the translational partition function, is that part of the partition function resulting from the movement (translation) of the center of mass. For a single atom or molecule in a low pressure gas, neglecting the interactions of molecules , the canonical ensemble q T {\displaystyle q_{T}} can be approximated by: [ 1 ]
In statistical mechanics and thermodynamics the compressibility equation refers to an equation which relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid.
Statistical associating fluid theory (SAFT) [ edit ] An important contribution for physically based equations of state is the statistical associating fluid theory (SAFT) that contributes the Helmholtz energy that describes the association (a.k.a. hydrogen bonding ) in fluids, which can also be applied for modelling chain formation (in the limit ...