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http://fronsdal.physics.ucla.edu

Christian Fronsdal

Theoretical Elementary Particle

Office: 4-941 PAB
Phone: (310) 825-3432

Educational Background:

  • Ph.D., UCLA, 1957

Research Interest: I am engaged in writing a book on Thermodynamics.  This work has some controversial elements and departs from traditional views and methods in many ways. For example, I  emphasize the lagrangian approach, which is a very strong constraint since, for a given system,  one lagrangian density has to be effective in all contexts.  I propose an improvement of Landau's two-fluid theory of superfluids and I take a controversial approach to (mixed) atmospheres.  For mixtures I recognize all the natural degrees of freedom but do not use molar fractions.  Entropy is very central to my approach. A full integration of thermodynamics with General Relativity is proposed and now included in the book,  a significant improvement over the much used method of Tolman. There is a chapter on phase transitions and another on mixtures, including some chemical reactions.   I am very unhappy with the method invented by Tolman and think that I have improved on it.  But to justify my suggestions with respect to this topic  I have had to make a strong effort to learn thermodynamics; the book is the result.  A  working and preliminary copy of the book can be seen here. Comments to  

fronsdal@physics.ucla.edu  

are received with thanks.

 

Update 12/1/15. The papers

  1. Relativistic Thermodynamics, a Lagrangian Field Theory
    for general flows including rotation arXive:  1106.2271V5[GR-QC], revised 2014.

 

explains this breakthrough in the non relativistic context. See below  "ActionGen.Flow.pp.copy.pdf" Further

developments in  the book, Chapter XI.

The full relativistic generalization is presented in a preliminary form in the book, Section XI.7.   The papers (the last two listed below)

Action Principle for Hydrodynamics and Thermodynamics including general, rotational flows, arXive:1405.7138.  

Lagrangian Field Theory for general flows including rotation arXive:  1106.2271V5[GR-QC], revised 2014.

are important  improvement over an earlier paper with similar titles.  (Submitted for publication.) They claim a theory of hydrodynamics and thermodynamics based on an action principle that allows for unrestricted flows.  The step up from allowing just potential flows is the result of 7 years of labor. Many exciting application are accessible.

The book is taking shape, now up to over 300 pages.

 

 

 

Selected Recent Publications (link to LANL archive)

  1. Completion and Embedding of the Schwarzschild Solution, Phys. Rev. 116, 778 (1959).
  2. Simple Groups and Strong Interaction Symmetries (with R. E. Behrends, J. Dreitlein and B. W. Lee), Rev. Mod. Phys. 34, 1 (1962).
  3. Deformation Theory and Quantization.
    I. Deformations and Symplectic Structures (with F. Bayen, M. Flato, A. Lichnerowicz and D. Sternheimer), Ann. Phys. 111, 61 (1978).
    II. Physical Applications (with F. Bayen, M. Flato, A. Lichnerowicz and D. Sternheimer), Ann. Phys. 111, 111 (1978).
  4. Massless Fields with Integer Spin, Phys. Rev. D18, 3624 (1978).
  5. Massless Fields with Half-Integral Spin (with J. Fang), Phys. Rev. D 18, 3630 (1978).
  6. What is a Covariant Derivative?, JGP 7, 305-338 (1990).
  7. Growth of a Black Hole, J. Geom. Phys. 57, 167-177 (2006).
  8. Ideal Stars and General Relativity, Gen.Rel.Grav. 39 1971-2000 (2007).
  9. Cosmology with an Action Principle (in preparation).
  10. Stability of Polytropes, Phys.Rev. D 77 (2008).
  11. Reissner-Nordstrom and Charged Polytropes, Lett. Math.Phys. 82, 255-273 (2007)
  12. Heat and Gravitation. The Action Principle, Entropy 2014, 16(3), 1515-1546; doi:10.3390/e16031515
  13. Heat and Gravitation. II Stability Criteria. Published in General Relativity and Gravitation 2011.
  14. Action Principle for Hydrodynamics and Thermodynamics including general, rotational flows, arXive:1405.7138.
  15. Relativistic Thermodynamics, a Lagrangian Field Theory
    for general flows including rotation arXive:  1106.2271V5[GR-QC], revised 2014.