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{title2=$u(r)$}
{wiki}

A pair potential assigns an interaction energy $u(|\mathbf x_i-\mathbf x_j|)$ to each pair of particles. A pairwise-additive system has $U=\sum_{i<j}u(|\mathbf x_i-\mathbf x_j|)$.

Pair potential

Mayer f-function

Hard-sphere gas

Excluded volume

Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 4 / 35A / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 4 / 35A / ii / Solution

{wiki=Pair_potential}

Pair potential refers to a mathematical function used in computational physics and chemistry to describe the interaction energy between two particles as a function of their separation distance. It is commonly employed in molecular dynamics simulations and statistical mechanics to model systems at the atomic and molecular level. The pair potential is often denoted as \$V(r)\$, where \$r\$ is the distance between two interacting particles.


Pair potential ( $u (r)$ )

Mayer f-function ( $f (r) = e^{- u (r) / (k_{B} T)} - 1$ )

Hard-sphere gas

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Pair potential (u(r))

Mayer f-function (f(r)=e−u(r)/(kB​T)−1)

Hard-sphere gas

Excluded volume

 Ancestors (4)

 Incoming links (2)

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 Articles by others on the same topic (1)

Pair potential ( $u (r)$ )

Mayer f-function ( $f (r) = e^{- u (r) / (k_{B} T)} - 1$ )

 Discussion (0)