Description
Return signed force-displacement work and thermal-unit ratio.
Diffusive and thermal scales depend on dimensionality, geometry, drag and compatible energy/time units. A local displacement correction or ideal spherical diffusivity is distinct from fitting a stochastic trajectory or establishing that a measured system satisfies the model.
Return signed force-displacement work and thermal-unit ratio.
When to use this tool
Use Molecular Force Work Thermal Unit when checking the stated diffusion, drift, work or thermal-energy convention.
How to use the tool and how it works
- Enter force, displacement, thermalEnergy. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read work, thermalUnits. Use the output convention below.
Return signed force-displacement work and thermal-unit ratio. Require thermalEnergy > 0; work = force*displacement, thermalUnits = work/thermalEnergy.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| force | Force | Required. Finite number. |
| displacement | Displacement | Required. Finite number. |
| thermalEnergy | Thermal Energy | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| work | Work | Required. Finite number. |
| thermalUnits | Thermal Units | Required. Finite number. |
{
"input": {
"force": 4,
"displacement": 3,
"thermalEnergy": 2
},
"output": {
"work": 12,
"thermalUnits": 6
}
}Limitations and assumptions
- This uses a constant collinear force model and compatible energy units; no path integration or molecular mechanism is inferred.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use calibrated trajectories and an appropriate geometry/noise/transport model for fitted diffusion parameters, uncertainty or molecular mechanisms.
References
Similar or alternative tools
- Thermal Fluctuation Energy Ratio
Return energy in supplied thermal units.
- Diffusion Stokes Einstein Radius Factor Tool
Translational Stokes-Einstein diffusivity for a spherical no-slip particle with thermal energy kB*T supplied explicitly.