| ... | @@ -11,18 +11,18 @@ The lattice spacing is defined through [predefines.h](https://gitlab.fizyka.pw.e |
... | @@ -11,18 +11,18 @@ The lattice spacing is defined through [predefines.h](https://gitlab.fizyka.pw.e |
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```c
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```c
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#define DX 1.0
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#define DX 1.0
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```
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```
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It is *recommended* to work with lattice spacing `DX=1`, however, the code allows to use of other values, in order to support the functionality of [automatic interpolations](Automatic interpolations). Through the lattice spacing, the standard of the code length unit is defined.
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It is *recommended* to work with lattice spacing `DX=1`; however, the code allows the use of other values, in order to support the functionality of [automatic interpolations](Automatic-interpolations). Through the lattice spacing, the standard of the code length unit is defined.
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# Dimensionless units
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# Dimensionless units
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When reporting values, it is convenient to use dimensionless units. See here for the [definition of reference scales](Reference scales).
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When reporting values, it is convenient to use dimensionless units. See here for the [definition of reference scales](Reference-scales).
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| quantity | dimensionless units | interpretation |
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| quantity | dimensionless units | interpretation |
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|------- |------ |------- |
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|------- |------ |------- |
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| energy | $`E/E_{\textrm{ffg}}`$| In literature it is called (generalized) _Bertsch parameter_ $`\xi`$.|
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| energy | $`E/E_{\textrm{ffg}}`$| In literature it is called (generalized) _Bertsch parameter_ $`\xi`$.|
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| distance| $`xk_F`$ | Fermi momentum $`k_F`$ defines the average distance between particles. Thus $`xk_F=1`$ means a distance of the order of interparticle distance.|
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| distance| $`xk_F`$ | Fermi momentum $`k_F`$ defines the average distance between particles. Thus $`xk_F=1`$ means a distance of the order of interparticle distance.|
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| time | $`t\varepsilon_F`$|In time interval $`t\varepsilon_F=1`$ particles at Fermi level pass distance of the order of average interparticle distance. In literature this time scale is also called _interaction time scale_, meaning typical time scale for scattering events. |
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| time | $`t\varepsilon_F`$|In the time interval $`t\varepsilon_F=1`$, particles at the Fermi level pass a distance of the order of the average interparticle distance. In the literature, this time scale is also called the _interaction time scale_, referring to the typical time scale for scattering events. |
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# Converting to SI units
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# Converting to SI units
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To compare with experimental data typically one needs to convert results to SI units. In order to do this, one needs to provide SI standards for mass, length, and time.
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To compare with experimental data, typically one needs to convert results to SI units. To do this, one needs to provide SI units for mass, length, and time.
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|standard | standard type| SI | code |
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|standard | standard type| SI | code |
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| -------| ---- | ----- | -----|
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| -------| ---- | ----- | -----|
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|mass | explicit: mass of particle | $`m\,\left[\textrm{kg}\right]`$ | 1 |
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|mass | explicit: mass of particle | $`m\,\left[\textrm{kg}\right]`$ | 1 |
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| ... | @@ -31,7 +31,7 @@ To compare with experimental data typically one needs to convert results to SI u |
... | @@ -31,7 +31,7 @@ To compare with experimental data typically one needs to convert results to SI u |
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(*) The lattice spacing defines how the distance between two lattice points relates to the unit of length in which the code operates. If `DX=1` then the lattice spacing itself serves as the standard for the code unit length.
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(*) The lattice spacing defines how the distance between two lattice points relates to the unit of length in which the code operates. If `DX=1` then the lattice spacing itself serves as the standard for the code unit length.
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Below we provide conversion factors:
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Below, we provide conversion factors:
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|quantity| symbol | code value | SI value |
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|quantity| symbol | code value | SI value |
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| ---- | ---- | ----|-----|
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| ---- | ---- | ----|-----|
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| ... | | ... | |