Water to the Atacama Desert
Solar updraft towers are now being used ( https://en.wikipedia.org/wiki/Solar_updraft_tower ). Why could one not use the following system to get moisture to deserts? Heat seawater with concentrated solar power. Have a huge black pipe (so sunlight will heat it) up the mountains to the Atacama desert with lower opening over the heated seawater and upper opening at the desert. this pipe will be like a solar updraft tower. This will bring moist air to part of the desert. When the air of the more moist desert cools at night dew or rain could form.
Outside United States
i am unsure of the potential amount of 'lift' that your design would provide for the seawater.
Consier the height of the desert floor above sealevel, and then that is the amount of pressure Head [or lift] that the black tube must provide.
If the theory indicates potential success, then you can consider the practical concerns, such as how effectively the black pipe can be warmed to create the 'lift' force.