There seems to be some confusion about terminology. I'v been reading about evolution since 1970s and have had book reviews published about evolution. I must admit, however, that I have only a layman's understanding of evolution. The research that is currently being done is beyond me, so I can only tell you what I mean by the words:
Evolution is the object of study of evolutionary biology.
Common descent is also called macroevolution and refers to the 20th century observation that all life evolved from a single bacterium or many bacteria over a period of 3.5 billion years.
Adaptation refers to the ancient observation that species adapt to their environment.
Theory of evolution is an out-of-date term that was relevant in the 19th and early 20th century.
Orthogenesis is the discredited theory that living organisms have an interior drive to evolve into bigger and more complex organisms.
Natural selection includes random mutations, survival of the fittest, etc.
Facilitated variation is an improvement over natural selection and is considered a refutation of intelligent design. Intelligent design does not deserve a definition because it is not science. It refutes intelligent design because it helps explain adaptation. Since there is no hard and fast line to be drawn between and common descent and adaptation, it can also be regarded as an explanation for common descent. Biologists don't say natural selection and/or facilitated variation explains common descent because it would make them look like they don't understand how complex life is.
Second law of thermodynamics states that a system of particles tends towards a state of greater disorder. The free expansion of a gas is an example. It is based on probability theory and statistical mechanics. We can assume that common descent does not violate the second law of thermodynamics. However, non-biologists and crackpots who say there was so much time and so many organism and so many mutations that common descent is explained by natural selection are violating the second law of thermodynamics.