>>I don't think so. A particle, or group of gas atoms, gets heated up, and will eventually emit thermal radiation. There is no reason why it should "remember" where the energy came from in the first place.
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>It is not that the particle "remembers" where the energy came from, it is that the exchange occurs that quickly (nanoseconds) that even if the particle of dust was rapidly rotating, it would only rotate maybe a couple of degrees before unloading it's excess energy back into the ether so that it can return to original state or as close to it as possible (remember the Entropic process).
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>The original light can be reflected as either light or after being aborbed, re-emmitted as black body radiation (IR), also remember that we are talking about deep space here which is about 4 degrees Kelvin or less, if what you state was correct, with this continuous stream (24/7) of light energy being absorbed and then taking some time to re-emmit the energy it would be a lot warmer than 4 deg Kelvin.

Just observe, for example, a rock - and think about the consequences. If left in the sun, its temperature will gradually increase. First of all, if all energy absorbed would be immediately retransmitted, it would never get any hotter.

If left in the shadow, it will gradually cool. Heat energy can be transferred through three methods: conduction, convection, radiation. Convection would occur in the air close to the rock (not relevant in outer space), but not in the rock itself. Convection may be relevant in gases though. Conduction will transfer heat stored in the inside to the outside (when the object cools) or to the inside (when it heats up). Radiation will gradually dissipate energy in the infrared part of the spectrum (or visible light, at very hot temperatures).

A rock will take hours to heat up or cool down. A larger object, like the planet Earth, may take hundreds of thousands of years, or perhaps millions. I very much doubt that a speck of dust will finish heating up in nanoseconds; atoms in a gas, perhaps.