## Crossovers in phase transitions of reduced dimensional systems |

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### Contents

GINZBURGLANDAU THEORY OF THE UPPER CRITICAL FIELD | 5 |

CRITICAL BEHAVIOR OF THE ONEDIMENSIONAL COMMENSURATEINCOMMEN | 65 |

Transfer Matrix Path Integral Approach to Fluctuations | 112 |

4 other sections not shown

### Common terms and phrases

acoustic branch anisotropic asymptotic average phase change Azevedo bottom band boundary solution Brillouin zone Brillouin zone boundary coefficients coherence length commensurate phase commensurate-incommensurate transition confluent hypergeometric function continued fraction correlation function cosine potential cross-over destroy the long divergence eigenfunctions eigenvalue equation endpoint energy difference expansion exponential F matrix finite free energy free energy functional Ginzburg-Landau theory Goldstone mode Hill equation incommensurate integral inverse correlation length Ising critical behavior Josephson long range order low temperature magnetic field mass ratio Mathieu eigenvalue Mathieu equation matrix elements McMillan free energy mean field solution mean field theory moving frame muron NbSe obtain optic branch order-parameter parabolic barrier parameter partition function phase boundary phase slip phase-phase correlation function phason Phys R.L. Greene second variation small oscillation spectrum soliton activation soliton lattice superconductors tion transfer matrix two-term Hill umklapp coupling underlying lattice walks wavefunctions wavevector WKB wavefunctions XY critical yields