Druyd:Knowledge

General force

Storyboard

The generalized force allows calculating a series of macroscopic parameters based on the microscopic states. In this narrative, this concept is extended to the calculation of the calculated partition function of the microscopic states.

>Model

ID:(1571, 0)

General force

Description

Variables

Symbol

Text

Variable

Value

Units

Calculate

MKS Value

MKS Units

$\beta$

beta

$\beta$

beta

Beta del sistema

1/J

$k_B$

k_B

Constante de Boltzmann

J/K

$\delta W$

Diferencial de trabajo

$dx_i$

dx_i

Diferencial de variable extensiva

$S$

Entropia del sistema

J/K

$X_i$

X_i

Fuerza generalizada

$Z$

Función Partición

$p$

Presión

$x_i$

x_i

Variable extensiva

$V$

Volumen

m^3

Calculations

Equation

Number

First, select the equation:

, then, select the variable:

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable

Given

Calculate

Target :

Equation

To be used

Equations

$\overline{X_i}=\displaystyle\frac{1}{\beta}\displaystyle\frac{\partial\ln Z}{\partial x_i}$

X_i=(d lnZ/dx_i)/beta

(ID 3531)

$\delta W=\displaystyle\sum_i\bar{X}_idx_i$

dW=sum_i X_i*dx_i

(ID 3532)

$\bar{p}=\displaystyle\frac{1}{\beta}\displaystyle\frac{\partial\ln Z}{\partial V}$

p=(1/beta)*(dln Z/dV)

(ID 3533)

$ S = k_B ( \ln Z + \beta U )$

S = k_B * ( ln( Z )+ beta * U )

(ID 3892)

$ S = k_B ( \ln Z + \beta \displaystyle\frac{\partial \ln Z }{\partial \beta })$

S = k_B *(ln( Z )+ beta * DIFF( ln( Z ), beta, 1))

(ID 9468)

Examples

ID:(1571, 0)