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Thermodynamics of Exotic Matter and Energy. Sung-Won Kim (Ewha Womans University). Contents. Motivation Definition Examples Thermodynamics Summary and Further Problems. 1. Definition. Energy Conditions Strong energy conditions Weak energy conditions Null energy conditions.

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thermodynamics of exotic matter and energy

Thermodynamics of Exotic Matter and Energy

Sung-Won Kim

(Ewha Womans University)

KPS meeting

contents
Contents
  • Motivation
  • Definition
  • Examples
  • Thermodynamics
  • Summary and Further Problems

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1 definition
1. Definition
  • Energy Conditions
    • Strong energy conditions
    • Weak energy conditions
    • Null energy conditions

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slide4
Weaker versions
    • AWEC
    • ANEC

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2 examples
2. Examples
  • Wormhole
  • Negative energy: quantum inequality
    • Casimir effect
    • Hawking flux into hole
  • Dark energy
    • Quintessence
    • K-essence
    • Phantom energy:
  • Ghost field

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3 gravity
3. Gravity
  • Wormhole structure
  • Accelerated

expansion

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wormhole
Wormhole

= const.

embedded in higher

dimensional space

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accelerated expansion
Accelerated Expansion

Dark energy?

  • Quintessence
    • K-essence
    • Phantom energy:

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4 thermodynamics
4. Thermodynamics
  • Negative Energy
    • Violation of second law
  • Wormhole
    • Negative temperature?
  • Phantom Energy
    • Negative entropy or

negative temperature?

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slide12

4.1 Wormhole and Temperature

- Hong & Kim

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4 2 dark energy and thermodynamics lima alcaniz plb 04
4.2 Dark energy and Thermodynamics - Lima & Alcaniz, PLB(04)
  • 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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slide18

-1/3

0

1/3

-1

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slide20

-1/3

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  • If chemical potential is null - Thermodynamic 1st law

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4 3 dark energy and thermodynamics 2 gonzalez diaz siguenza plb 04
4.3 Dark energy and Thermodynamics 2 - Gonzalez-Diaz & Siguenza, PLB(04)

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physical meaning of negative temperature
Physical meaning of negative temperature
  • 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 further problems
Summary & Further Problems
  • 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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