It all depends on the algae. You may be confusing diatoms with actual brown hair.
Brown/black beard algae can uptake nutrients and minerals which include iron, phosphates, potassium, nitrates and a few others. Black beard algae can appear brown or black depending on the light intensity. So if you want to increase lighting, all you will do is eventually cause it to grow darker and more lustrous.
Phosphates, iron, and minimal nitrates are all I usually get in my grow out tank. The water comes straight from the well and goes directly into the tank. My well is rich in inorganic phosphates and iron, but has absolutely no nitrates in it since it is deep water. It has has zero silicates.
I have two 29 gallon tanks, side by side, with the same setup, and a single 4 foot light fixture that hangs over both of the them. I change 50 percent of the water every three days. I rinse out the java moss once a week. I don't have substrate but do have a couple field stones or clay pots for hiding and egg laying, so all I have to do is vacuum the bottom glass. Occasionally I will clean some of the glass or rocks if I notice bits of stuff in there.
One tank gets HI-S RO/DI and fed rather heavily. This one has breeding rosy reds in it. The other tank gets tap water, and fed lightly. This is where the rosy red's egg laden, rocks or pots go for hatching. Which one do you think has the brown algae in it? I have been doing this for three years now. I use the different algae, micro organisms that live on the java fern, and light feedings for the rosy fry.