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Thermodynamics of Exotic Matter and Energy

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Thermodynamics of Exotic Matter and Energy

Sung-Won Kim

(Ewha Womans University)

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- Motivation
- Definition
- Examples
- Thermodynamics
- Summary and Further Problems

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- Energy Conditions
- Strong energy conditions
- Weak energy conditions
- Null energy conditions

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- Weaker versions
- AWEC
- ANEC

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- Wormhole
- Negative energy: quantum inequality
- Casimir effect
- Hawking flux into hole

- Dark energy
- Quintessence
- K-essence
- Phantom energy:

- Ghost field

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- Wormhole structure
- Accelerated
expansion

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= const.

embedded in higher

dimensional space

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Dark energy?

- Quintessence
- K-essence
- Phantom energy:

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- Negative Energy
- Violation of second law

- Wormhole
- Negative temperature?

- Phantom Energy
- Negative entropy or
negative temperature?

- Negative entropy or

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4.1 Wormhole and Temperature

- Hong & Kim

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- Acceleration(Adiabatic expansion)
(particle current) (entropy current)

- Perfect fluid
: particle number density

: specific entropy (per particle)

- Gibbs law
- Negative pressure
- Expansion -> hotter

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-1/3

0

1/3

-1

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- Generalized Stefan-Boltzmann law

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-1/3

0

1/3

-1

- If chemical potential is null - Thermodynamic 1st law

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- The entropy of a phantom universe monotonically decreased if one would be able to add energy to that universe.
- Negative temperature is not unphysical or meaningless
- Systems with negative temperature have already been observed in the laboratory and interpreted theoretically

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- Summary
- Exotic matter & energy
- Thermodynamics
- Negative entropy? or Negative temperature?

- Further problems
- What is the real exotic matter or energy?
- What is the full thermodynamics of it?
- Could not exist?

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