Thermodynamic Processes

Let particle $\sf{P}$ be described by a historically ordered chain of events $\Psi$ and consider some pair of events $\sf{P}_{ \it{i}}$ and $\sf{P}_{ \it{f}}$ from the sequence

$\Psi ^{\sf{P}} = \left( \, \sf{P}_{1}, \sf{P}_{2}, \sf{P}_{3} \ \ldots \ \sf{P}_{ \it{i}} \ \ldots \ \sf{P}_{ \it{f}} \ \ldots \, \right)$

Since $\Psi$ is in historical order we call $\sf{P}_{ \it{i}}$ the initial event and $\sf{P}_{ \it{f}}$ the final event of the pair. If these events always have the same quark coefficients $n$ then we say that $\sf{P}$ is isolated. But if they are not all the same, then we say that $\sf{P}$ has undergone an interaction with some other particle generically called $\sf{X}$. Recall that quarks are indestructible. So each kind of interaction implies a specific relationship between quark coefficients. Some possibilities are classified in the following table.

Interaction Quark Coefficients
isolation $\sf{P}_{\it{i}} \to \sf{P}_{ \it{f}}$ $n^{\sf{q}} \left( \sf{P}_{\it{i}} \right) = n^{\sf{q}} \left( \sf{P}_{ \it{f}} \right)$
emission $\sf{P}_{ \it{i}} \to \sf{P}_{\it{f}} + \sf{X}$ $n^{\sf{q}} \left( \sf{P}_{ \it{i}} \right) = n^{\sf{q}} \left( \sf{P}_{ \it{f}} \right) + n^{\sf{q}} \left( \sf{X} \right)$
absorption $\sf{P}_{ \it{i}} + \sf{X} \to \sf{P}_{ \it{f}}$ $n^{\sf{q}} \left( \sf{P}_{ \it{i}} \right) = n^{\sf{q}} \left( \sf{P}_{\it{f}} \right) - n^{\sf{q}} \left( \sf{X} \right)$
annihilation $\sf{P}_{\it{i}} +\overline{ \sf{P}}_{\it{i}} \to \sf{P}_{\it{f}}$ $\Delta n^{\sf{q}} \left( \sf{P}_{\it{f}} \right) = 0$
pair production $\sf{P}_{\it{i}} \to \overline{ \sf{P}}_{\it{f}} + \sf{P}_{\it{f}}$ $\Delta n^{\sf{q}} \left( \sf{P}_{\it{i}} \right) = 0$
Process Definition
warming $\Delta T > 0$
isothermal $\Delta T = 0$
cooling $\Delta T < 0$

If the events in $\Psi$ are described by their temperature $T$ then any changes are noted by subtracting initial from final values

$\Delta T \, \equiv \, T_{ \it{f}} - T _{\it{i}}$

Processes can be classified by $\Delta T$ as indicated in the accompanying table. And so for example we might make a combined description of some process as isothermal absorption, or perhaps cooling by emission and so on.

achromatic.jpgBangladeshi.GIFSwedish.gifodd.jpgknut.jpegsteam.jpg
Sensory Interpretation: These sorts of accounts are traditionally called thermodynamic processes, and so the quarks that they explicitly enumerate have been labeled thermodynamic quarks. Thermodynamic quarks are defined from seeds, which are in-turn defined by Anaxagorean sensations. So all the foregoing interactions are just detailed, systematic descriptions of thermal, visual and somatic sensations. Thermodynamic processes are objectified ways of recounting changes in what we see, hear and feel.
Right.png Next step: other clocks.
Summary
Verb Definition
Interaction $n^{\sf{q}} \left( \sf{P}_{\it{i}} \right) \ne n^{\sf{q}} \left( \sf{P}_{ \it{f}} \right)$ 6-12
Verb Definition
Isolation $n^{\sf{q}} \left( \sf{P}_{\it{i}} \right) = n^{\sf{q}} \left( \sf{P}_{ \it{f}} \right) \ \ \forall \sf{q}$ 6-13
Verb Definition
Emission $n^{\sf{q}} \left( \sf{P}_{ \it{i}} \right) = n^{\sf{q}} \left( \sf{P}_{ \it{f}} \right) + n^{\sf{q}} \left( \sf{X} \right) \ \ \forall \sf{q}$ 6-14
Verb Definition
Absorption $n^{\sf{q}} \left( \sf{P}_{ \it{i}} \right) = n^{\sf{q}} \left( \sf{P}_{ \it{f}} \right) - n^{\sf{q}} \left( \sf{X} \right) \ \ \forall \sf{q}$ 6-15
Verb Definition
Annihilation $\Delta n^{\sf{q}} \left( \sf{P}_{\it{f}} \right) = 0 \ \ \forall \sf{q}$ 6-16
Verb Definition
Pair Production $\Delta n^{\sf{q}} \left( \sf{P}_{\it{i}} \right) = 0 \ \ \forall \sf{q}$ 6-17
Verb Definition
Warming Process $\Delta T > 0$ 6-18
Verb Definition
Isothermal Process $\Delta T = 0$ 6-19
Verb Definition
Cooling Process $\Delta T < 0$ 6-20
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