You are getting "secondary fermentation" and a secondary confused for one thing.
Secondary fermentation is a misnomer, since no fermentaion SHOULD happen in the secondary. The secondary is to clear your beer/wine/cider/mead.
There is a "secondary fermentation stage," but it happens
in your primary along with lagtime, and reproductive phase. It is part of the life cycle of the yeast, and it all happens before it is time to move it to a clearing tank, (secondary vessel or brite tank"
Here's John Palmer's explanation of the Secondary fermentation Phase
The fermentation of malt sugars into beer is a complicated biochemical process. It is more than just the conversion of sugar to alcohol, which can be regarded as the primary activity. Total fermentation is better defined as three phases, the Adaptation or Lagtime phase, the Primary or Attenuative phase and a Secondary or Conditioning phase. The yeast do not end Phase 2 before beginning Phase 3, the processes occur in parallel, but the conditioning processes occur more slowly. As the majority of simple sugars are consumed, more and more of the yeast will transition to eating the larger, more complex sugars and early yeast by-products. This is why beer (and wine) improves with age to a degree, as long as they are on the yeast. Beer that has been filtered or pasteurized will not benefit from aging.
The reactions that take place during the conditioning phase are primarily a function of the yeast. The vigorous primary stage is over, the majority of the wort sugars have been converted to alcohol, and a lot of the yeast cells are going dormant - but some are still active.
The Secondary Phase allows for the slow reduction of the remaining fermentables. The yeast have eaten most all of the easily fermentable sugars and now start to turn their attention elsewhere. The yeast start to work on the heavier sugars like maltotriose. Also, the yeast clean up some of the byproducts they produced during the fast-paced primary phase. ...
It's easy to see how confusing the terms are...that's why we try to get outta the habit of saying secondary fermentation...and just say secondary...or bright tank (mostly just secondary, dropping fermenter or fermentation, since fermentation should be finished before you rack it to the secondary. After the hydrometer reading stays the same for 3 days.
Donman sums it up pretty well;
dontman
I thought Palmer was actually pretty good about differentiating between Secondary Fermenting and Secondary Fermentation. I found Papazian to be less so. When I read Papazian the first time I was left with the exact impressions that you have and when I look at my brew logs from 1992 I was regularly doing 4 and 5 day primaries and then secondary. He actually made me feel like the sooner off the yeast cake the better.
You are confusing secondary fermentation with secondary fermenter. Very easy to do.
Secondary fermentation occurs while the yeast is still in solution immediately after the conversion of sugars to alcohol. During that time there is tons of proteins and partially digested sugars in solution in addition to the waste products of the yeast, plus any esters and fusel they create while they ferment. During secondary fermentation the yeast will clean up these esters, and the fusels, and reabsorb a lot of their waste products.
Once this process is complete if you choose THEN you can rack to the Secondary Fermenter. This is a also called a bright tank or clearing tank and it is where the sedimentation occurs. This is where the most of the proteins and other detritus fall out of solution and the beer clears. Yes, the yeast is still present in this tank but because the vast majority has been left behind in the primary tank any benefit from the yeast at this stage is greatly diminished.
Now as to using a secondary vessel, nowadays people rarely use them, except to add fruit or oak. Most folks instead opt for a month long primary instead.
If clarity is your goal, then Leave you beer a month in primary instead.
You'll find that more and more recipes these days do not advocate moving to a secondary at all, but mention primary for a month, which is starting to reflect the shift in brewing culture that has occurred in the last 4 years, MOSTLY because of many of us on here, skipping secondary, opting for longer primaries, and writing about it. Recipes in BYO have begun stating that in their magazine. I remember the "scandal" it caused i the letters to the editor's section a month later, it was just like how it was here when we began discussing it, except a lot more civil than it was here. But after the Byo/Basic brewing experiment, they started reflecting it in their recipes.
Fermenting the beer is just a part of what the yeast do. If you leave the beer alone, they will go back and clean up the byproducts of fermentation that often lead to off flavors. That's why many brewers skip secondary and leave our beers alone in primary for a month. It leaves plenty of time for the yeast to ferment, clean up after themselves and then fall out, leaving our beers crystal clear, with a tight yeast cake.
I get little if any sediment in my bottles, simply by opting for a long primary. This is my yeastcake for my Sri Lankin Stout that sat in primary for 5 weeks. Notice how tight the yeast cake is? None of that got racked over to my bottling bucket. And the beer is extremely clear.
That little bit of beer to the right is all of the 5 gallons that DIDN'T get vaccumed off the surface of the tight trub. Note how clear it is, there's little if any floaties in there.
When I put 5 gallons in my fermenter, I tend to get 5 gallons into bottles. The cake itself is like cement, it's about an inch thick and very, very dense, you can't just tilt your bucket and have it fall out. I had to use water pressure to get it to come out.
This is the last little bit of the same beer in the bottling bucket, this is the only sediment that made it though and that was done on purpose, when I rack I always make sure to rub the autosiphon across the bottom of the primary to make sure there's plenty of yeast in suspension to carb the beer, but my bottles are all crystal clear and have little sediment in them.
Half the time I forget to use moss, and you can't tell the difference in clarity.
I get the barest hint of sediment in my bottles....just enough for the yeast to have done the job of carbonating the beer.
THIS is where the latest discussion and all your questions answered.
We have multiple threads about this all over the place, like this one,so we really don't need to go over it again, all the info you need is here;
https://www.homebrewtalk.com/f163/secondary-not-john-palmer-jamil-zainasheff-weigh-176837/
And read
this for more updated information.
Welcome and hope this helps.