arrive at vs peak

arrive at is not a noun while peak is a noun.

Word	Noun	Adjective	Verb	Adverb
arrive at	No	No	Yes	No
peak	Yes	No	Yes	No

As verbs, peak is a hyponym of arrive at; that is, peak is a word with a more specific, narrower meaning than arrive at:

arrive at (noun)	peak (noun)
	a brim that projects to the front to shade the eyes
	the top or extreme point of something (usually a mountain or hill)
	the highest point (of something)
	the most extreme possible amount or value
	a V shape
	the highest level or degree attainable; the highest stage of development
	the period of greatest prosperity or productivity

arrive at (verb)	peak (verb)
reach a destination, either real or abstract	to reach the highest point; attain maximum intensity, activity