Physics of Critical Fluctuations

1. Front Matter

   Pages i-xv

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2. Classical Approach

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 1-28

3. The Ginzburg-Landau Functional

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 29-63

4. Wilson’s Renormalization Scheme

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 65-107

5. Field Theoretical RG

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 109-146

6. Generalized RG Approach

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 147-178

7. RG Study of Particular Systems

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 179-222

8. Competing Interactions

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 223-286

9. Exactly Solvable Models and RG

   • Yuli M. Ivanchenko, Alexander A. Lisyansky

   Pages 287-322

10. Application to Copper Oxides

    • Yuli M. Ivanchenko, Alexander A. Lisyansky

    Pages 323-364

11. Back Matter

    Pages 365-390

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Building on Wilson's renormalization group, the authors have developed a unified approach that not only reproduces known results but also yields new results. A systematic exposition of the contemporary theory of phase transitions, the book includes detailed discussions of phenomena in Heisenberg magnets, granular super-conducting alloys, anisotropic systems of dipoles, and liquid-vapor transitions. Suitable for advanced undergraduates as well as graduate students in physics, the text assumes some knowledge of statistical mechanics, but is otherwise self-contained.

• Critical Fluctuations
• Renormalization group
• particles
• phase Transition
• quantum system
• spectra

• Department of Physics, Polytechnic University, Brooklyn, USA

  Yuli M. Ivanchenko

• Department of Physics, Queens College of CUNY, Flushing, USA

  Alexander A. Lisyansky

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