Bosons at very high temperature

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Discussion Overview

The discussion revolves around the behavior of bosons in a Bose-Einstein condensate (BEC) as temperature changes, particularly at very high temperatures approaching infinity. Participants explore the implications of temperature on the state of particles within the condensate, including transitions between states and the nature of excitations.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that a Bose-Einstein condensate only exists at very low temperatures, suggesting that at higher temperatures, particles transition to another state.
  • One participant questions whether all particles would reside in the ground state if the temperature is below the critical temperature, implying a complete condensation of particles.
  • Another participant expresses uncertainty but suggests that for a condensate to undergo a phase transition, all particles would likely need to be excited to higher states as temperature increases.
  • A later reply challenges the notion of energy levels within the BEC, stating that as temperature rises, the number of particles in the BEC state decreases, potentially leading to none remaining at sufficiently high temperatures.

Areas of Agreement / Disagreement

Participants generally disagree on the implications of temperature changes on the state of bosons in a BEC, with multiple competing views on how particles behave as temperature approaches infinity.

Contextual Notes

There are limitations regarding the assumptions about energy levels within the BEC and the specific conditions under which particles transition between states, which remain unresolved in the discussion.

Magnetic Boy
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Will all particles be in excited state in boson condensate if temperature approach infinity?
 
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I believe you only have a bose-einstein condensate at very, very low temperatures. Beyond this the particles transition to another state.
 
Drakkith said:
I believe you only have a bose-einstein condensate at very, very low temperatures. Beyond this the particles transition to another state.
Ok thanks. But what if temperature is below critical temperatute?? Will all particles will come to ground state?? I mean all particles!
 
Drakkith said:
I believe you only have a bose-einstein condensate at very, very low temperatures. Beyond this the particles transition to another state.
Suppose we have created bose einstein condensate. Now we increase the temperature approaching infinity. Will all particle reside in excited state?
 
I really can't say. I would expect so, as it would seem to be a requirement that in order for the condensate to undergo a phase transition all the particles would need to be excited to other states. But I know very little about the details of bose-einstein condensates.
 
Magnetic Boy said:
Suppose we have created bose einstein condensate. Now we increase the temperature approaching infinity. Will all particle reside in excited state?

Your series of question is rather puzzling.

You seem to think that there is this various levels of energy within the BE condensate, very much like the energy levels in an atom. Can you tell me where you got such information from?

As the temperature of the condensate gets higher, there will be less number of particles that are in the BE state. At some point, if the temperature is high enough, there will be none. There are no "higher energy state" within the BE condensate.

Zz.
 

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