10.2. DPD Soft¶
10.2.1. Functional Form¶
The DPD soft potential has the functional form:
\(E={{A}_{ij}}\left( 1-\frac{{{R}_{ij}}}{{{R}_{c}}} \right)-\gamma {{\left( 1-\frac{{{R}_{ij}}}{{{R}_{c}}} \right)}^{2}}+\sigma \left( 1-\frac{{{R}_{ij}}}{{{R}_{c}}} \right)\alpha {{(\Delta T)}^{-\frac{1}{2}}}\)
The force-field parameters for this potential and units are given by:
Equation Symbol | Parameter Definition | Units |
\(A_{ij}\) | Coefficient for conservative force | force |
\(\gamma\) | Coefficient for dissipative force | force/velocity |
\(R_{c}\) | Cutoff distance value | length |
10.2.2. XML Schema¶
The XML schema for the soft DPD potential has the following representation (design mode representation using Liquid XML Studio):
The relationship between the equation symbols and XML schema notations are given by:
Parameter Definition | Equation Symbol | Schema Notation |
Atom type of atom [i] | \(i\) | AT-1 |
Atom type of atom [j] | \(j\) | AT-2 |
Coefficient for conservative force | \(A_{ij}\) | a_ij |
Coefficient for dissipative force | \(\gamma\) | gamma |
Cutoff distance value | \(R_{c}\) | r_c |
The general attributes (describing the entire data set) are given by:
General Attributes | Cardinality | Value/Definition |
style | Fixed | DPD |
formula | Fixed | a_ij*(1-r/r_c)-gamma*(1-r/r_c)^2+sigma*(1-r/r_c)*alpha*deltaT^(-1/2) |
a_ij-units | Required | Enumerations specified in schema |
gamma-units | Required | Enumerations specified in schema |
r_c-units | Required | Enumerations specified in schema |
The specific attributes (attached to each set of parameters) are given by:
Specific Attributes | Cardinality | Value/Definition |
comment | Optional | Comment attached to parameter set |
version | Optional | Version number of parameter set |
reference | Optional | Reference attached to parameter set |
Note that an XML document will be rejected from being entered into the WebFF database if a required attribute is left unspecified.