*3.4. Structure of the Clausius II Principle Model*

The principle *CII* about non-decreasing entropy of physical processes is consistent with adding processes and the condition of completeness of the model. In other words, the compliance of processes with the *CII* principle automatically guarantees the internality of adding processes. As a result, the model of the Clausius II principle is a homogeneous single set (stable model):

$$\{CII\} = \{000, \downarrow 0 \downarrow 0 \leftarrow \uparrow, \uparrow \leftarrow 0, \uparrow \leftarrow \uparrow, \uparrow \leftarrow \uparrow, \uparrow \leftarrow \uparrow, \uparrow \}\_{0 < \eta \le \eta \le\_{\mathbb{C}} \prime} (\uparrow \leftarrow \uparrow)\_{\eta \le \stackrel{\sim}{\to} \dagger} 1. \tag{25}$$

The above model closely follows the Carnot principle model:

$$\{\mathbb{C}II\} = \{\mathbb{C}0\},\tag{26}$$

but it is narrower than the families of models for Clausius I and Kelvin principles. Strictly speaking, the {*CII*} model coincides with only one model {*C I*}*ηm*=*η<sup>C</sup>* of Clausius I principle and only one model {*K*}<sup>↓</sup> *<sup>η</sup>m*=*η<sup>C</sup>* of Kelvin principle. Therefore, Clausius II principle and the equivalent Carnot principle are stronger principles than those of Clausius I and Kelvin.

The structure of the (13), (15), (19), (25) models already specifies the table of all implications or their absence. However, these implications will be subject to a more detailed proof analysis.

First, the implications of the remaining principles from the Carnot principle will be analyzed.
