PARADISCYL:Scale-Rule: Difference between revisions
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Let's figure out what each line means in real physical unit. |
Let's figure out what each line means in real physical unit. |
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Non-dimensional quantity |
Non-dimensional quantity will be notified with the asterisk (*). For example, the dimensionless radius is expressed as <math> R^* = R/R_c </math> and is fixed to be 1 in ParaDiS Cylinder codes, which means all the length units are scaled by the cylinder radius (''R'') since <math> R_c = R </math>. The cut-off radius '''rc''' in the script is the scaled cut-off radius (''r''<sub>c</sub>) and is .375 nm in real unit if the cylinder radius is given as 375 nm, because |
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<math> R^* = R/R_c </math> and is fixed to be 1, which means all the length units are scaled by the cylinder radius (''R'') since <math> R_c = R </math>. The cut-off radius '''rc''' in the script is the scaled cut-off radius (''r''<sub>c</sub>) and is .375 nm in real unit if the cylinder radius is given as 375 nm, because |
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{|border="0" align="center" |
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<math> |
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r_c = r_c^* \times R. |
|<math> r_c = r_c^* \times R. </math> |
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</math> |
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In the table below, listed are four key physical quantities which will be used to scale other physical quantity. |
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== Table of Scale == |
== Table of Scale == |
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Revision as of 05:02, 24 October 2008
Manual 03 for ParaDiS Cylinder Codes
How Units Are Scaled
Keonwook Kang, Chris Weinberger and Wei Cai
Latest update on Oct 23 , 2008
Rule of Scale
ParaDiS Cylinder program is hard-coded such that the radius of a cylinder be 1. Accordingly, the input numbers such as cut-off radius need to be scaled appropriately. In the test script concentric_loop_test.ctrl in M02 Test Run, you see
burgMag = 1.0e0 #Elastic constants shearModulus = 1.0e+0 pois = 3.050000e-01 #Core cut-off radius rc = 1.0e-3
Let's figure out what each line means in real physical unit.
Non-dimensional quantity will be notified with the asterisk (*). For example, the dimensionless radius is expressed as and is fixed to be 1 in ParaDiS Cylinder codes, which means all the length units are scaled by the cylinder radius (R) since Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_c = R } . The cut-off radius rc in the script is the scaled cut-off radius (rc) and is .375 nm in real unit if the cylinder radius is given as 375 nm, because
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r_c = r_c^* \times R. } |
In the table below, listed are four key physical quantities which will be used to scale other physical quantity.
Table of Scale
| key physical quantities | scale parameter | e.x. |
|---|---|---|
| Shear Modulus, μ | α | 23e9 Pa |
| Burgers vector magnitude, b | β | 3e-10 meter |
| Cylinder radius, R | γ | .35e-6 meter |
| Bobility, m | δ | 1 /(Pa*sec) |
| physical quantities | scale parameter | e.x. |
|---|---|---|
| σint | αβ/γ | 105e6 Pa |