by Chris Peterson » Mon Oct 21, 2024 1:37 pm
johnnydeep wrote: βMon Oct 21, 2024 1:21 pm
Chris Peterson wrote: βSun Oct 20, 2024 11:38 pm
johnnydeep wrote: βSun Oct 20, 2024 9:50 pm
Thanks. A few more...
Can we then measure the temperature of dark matter? I'd guess not since the temperature of other stuff in the universe is measurable by the frequency of light they emit, and dark matter emits no light, and we also don't know how fast dark matter "particles" are moving?
Does a single hydrogen atom or a single proton have a temperature that's directly proportional to its velocity?
"Temperature" is a thermodynamic property that only makes sense across a statistically meaningful population of particles. A single atom doesn't have a "temperature". It reflects the average kinetic energy of a collection of particles.
But a collection of a million atoms could have the same temperature as a collection of 100 atoms due simply to the average velocity of the atoms being the same (however impeded by collisions those atoms may be). So, it makes sense to me to say that a single atom with that same average velocity could be said to have that same temperature.
Except in actual usage, "temperature" simply isn't used that way. Absent a large enough population of particles for statistics to be meaningful, you would just consider the energy of a particle (which could be all over the place as it absorbs or emits photons and changes its energy state).
Because our ordinary usage of "temperature" involves collisions between particles and the transfer of energy, and because particles of dark matter essentially don't interact, they don't really possess a temperature as such (although they may have very high velocities, so in some settings are treated as having a sort of temperature. But it's not something we measure; rather, it's a theoretical concept).
Why couldn't dark matter interact with itself via collisions? We already know dark matter can affect other dark matter via gravity.
Particle collisions are extremely rare. At the particle scale, baryonic matter interacts with itself through the electromagnetic force. Not the very weak gravitational force. Very, very early in the Universe the particle density of dark matter may have been high enough that actual collisions occurred. No more.
[quote=johnnydeep post_id=341860 time=1729516889 user_id=132061]
[quote="Chris Peterson" post_id=341849 time=1729467496 user_id=117706]
[quote=johnnydeep post_id=341848 time=1729461037 user_id=132061]
Thanks. A few more...
Can we then measure the temperature of dark matter? I'd guess not since the temperature of other stuff in the universe is measurable by the frequency of light they emit, and dark matter emits no light, and we also don't know how fast dark matter "particles" are moving?
Does a single hydrogen atom or a single proton have a temperature that's directly proportional to its velocity?
[/quote]
"Temperature" is a thermodynamic property that only makes sense across a statistically meaningful population of particles. A single atom doesn't have a "temperature". It reflects the average kinetic energy of a collection of particles.
[/quote]
But a collection of a million atoms could have the same temperature as a collection of 100 atoms due simply to the average velocity of the atoms being the same (however impeded by collisions those atoms may be). So, it makes sense to me to say that a single atom with that same average velocity could be said to have that same temperature.
[/quote]
Except in actual usage, "temperature" simply isn't used that way. Absent a large enough population of particles for statistics to be meaningful, you would just consider the energy of a particle (which could be all over the place as it absorbs or emits photons and changes its energy state).
[quote][quote]
Because our ordinary usage of "temperature" involves collisions between particles and the transfer of energy, and because particles of dark matter essentially don't interact, they don't really possess a temperature as such (although they may have very high velocities, so in some settings are treated as having a sort of temperature. But it's not something we measure; rather, it's a theoretical concept).
[/quote]
Why couldn't dark matter interact with itself via collisions? We already know dark matter can affect other dark matter via gravity.
[/quote]
Particle collisions are extremely rare. At the particle scale, baryonic matter interacts with itself through the electromagnetic force. Not the very weak gravitational force. Very, very early in the Universe the particle density of dark matter may have been high enough that actual collisions occurred. No more.