(BQ) Part 2 book "A farewell to entropy statistical thermodynamics based on information" has contents: Transition from the General MI to the thermodynamic MI, the structure of the foundations of statistical thermo dynamics, some Simple applications. | December 5, 2007 B534 Statistical Thermodynamics Based on Information 9in x 6in Chapter 4 Transition from the General MI to the Thermodynamic MI In this chapter, we shall make the transition from the general mathematical concept of the amount of missing information applied to a general system as discussed in Chapter 3, and denoted H, to some simple thermodynamic Whenever we discuss thermodynamic systems at equilibrium, we shall switch notation from H to S. There are essentially four axes along which this transition is accomplished: (i) From systems consisting of a small number of particles, not very different from the game of hiding a coin in a box, to macroscopically large systems consisting of atoms and molecules (thermodynamic systems). (ii) From discrete to continuous space. (iii) From independent information to dependent information. (iv) From one type of information, such as a few particles on a lattice (locational information only), to two types of information, such as a few particles in a gaseous phase (locational and velocity information). 1 Note that in thermodynamics, the letter H is used for the enthalpy. Here, we use H, following Shannon’s notation for the MI. In this book, we shall never use the concept of enthalpy and therefore no confusion should arise. We shall refer to H as information, missing information or the amount of missing information. In all cases, we mean the Shannon measure of information. 177 ch04 December 5, 2007 178 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information The four transitions are intertwined: the idea is to start with the MI for very simple systems and eventually reach the MI of a macroscopic thermodynamic system at equilibrium such as binding on a surface, the MI of an ideal gas, and the analog of the Sackur– Tetrode equation. In Section , we start with a simple binding system with a small number of sites and ligands. In Section , we
