Statistical mechanics of one-dimensional solitary-wave-bearing scalar fields: Exact results and ideal-gas phenomenology

[1]  V. Bargmann.  On the connection between phase shifts and scattering potential , 1949 .

[2]  A. Bishop,et al.  Classical particle-like behavior of Sine--Gordon solitons in scattering potentials and applied fields , 1976 .

[3]  P. S. Sahni,et al.  Duality, Solitons, and Dilute-Gas Approximation in the One-DimensionalX−YModel with Symmetry-Breaking Fields. , 1979 .

[4]  A. Scott,et al.  Magnetic flux propagation on a Josephson transmission line. Technical summary report , 1976 .

[5]  S. Aubry.  A unified approach to the interpretation of displacive and order–disorder systems. I. Thermodynamical aspect , 1975 .

[6]  H. Bethe.  On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain , 1931 .

[7]  S. E. Trullinger.  Quantum dynamics and statistical mechanics of sine-gordon ø-particles , 1979 .

[8]  R. Jackiw.  Quantum Meaning of Classical Field Theory , 1977 .

[9]  V. Korepin,et al.  Quantization of solitons , 1975 .

[10]  T. Schneider,et al.  Molecular-dynamics study of structural-phase transitions. I. One-component displacement models , 1976 .

[11]  V. Karpman,et al.  Soliton Evolution in the Presence of Perturbation , 1979 .

[12]  S. Aubry.  A unified approach to the interpretation of displacive and order–disorder systems. II. Displacive systems , 1976 .

[13]  S. Goldstein.  XVII.—On the Asymptotic Expansion of the Characteristic Numbers of the Mathieu Equation. , 1930 .

[14]  J. Currie,et al.  Thermodynamics of the sine-Gordon field , 1977 .

[15]  Jorge V. José,et al.  Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model , 1977 .

[16]  K. Kawasaki.  Time Correlation Function of the Sine-Gordon System , 1976 .

[17]  H. Everts,et al.  Correlation functions of the 1-D coulomb gas, solitons and the 1-D Fermi gas , 1979 .

[18]  E. Stoll,et al.  Evidence for breather excitations in the sine-Gordon chain , 1979 .

[19]  One-dimensional anisotropic Heisenberg chain , 1972 .

[20]  B. Hasslacher,et al.  Nonperturbative methods and extended-hadron models in field theory. II. Two-dimensional models and extended hadrons , 1974 .

[21]  J. Currie.  Aspects of exact dynamics for general solutions of the sine-Gordon equation with applications to domain walls , 1977 .

[22]  C. Varma.  Dynamics of anharmonic lattices: Solitons and the central-peak problem in one dimension , 1976 .

[23]  S. E. Trullinger,et al.  Generalized susceptibility of a solitary wave , 1979 .

[24]  A. Bishop,et al.  Dynamics of sine-Gordon solitons in the presence of perturbations , 1977 .

[25]  K. Subbaswamy,et al.  Complex scalar fields in one dimension with fourfold phase anisotropy: Solitary-wave solutions , 1979 .

[26]  A. Bishop,et al.  Numerical simulation of sine-Gordon soliton dynamics in the presence of perturbations , 1977 .

[27]  A. Bishop,et al.  Mean field and exact results for structural phase transitions in one-dimensional and very anisotropic two-dimensional and three-dimensional systems , 1975 .

[28]  L. Takhtajan.  Integration of the Continuous Heisenberg Spin Chain Through the Inverse Scattering Method , 1977 .

[29]  J. Currie,et al.  Statistical mechanics of one-dimensional complex scalar fields with phase anisotropy , 1979 .

[30]  A. Bishop.  Universal features in the classical statistical mechanics for a class of continuum-field nonlinear Hamiltonians , 1978 .

[31]  M. Nauenberg,et al.  Method for Evaluating One-Dimensional Path Integrals , 1976 .

[32]  A. Bishop,et al.  Brownian motion of coupled nonlinear oscillators: Thermalized solitons and nonlinear response to external forces , 1978 .

[33]  R. Dodd,et al.  Multisoliton solutions of nonlinear dispersive wave equations not soluble by the inverse method , 1975 .

[34]  S. Edwards,et al.  Exact Statistical Mechanics of a One‐Dimensional System with Coulomb Forces. II. The Method of Functional Integration , 1962 .

[35]  F. Esposito,et al.  Theory and applications of the sine-gordon equation , 1971 .

[36]  M. Fisher,et al.  Soluble renormalization groups and scaling fields for low-dimensional Ising systems , 1975 .

[37]  L. Michel,et al.  Spontaneous Breaking of Euclidean Invariance and Classification of Topologically Stable Defects and Configurations of Crystals and Liquid Crystals , 1978 .

[38]  A. Seeger,et al.  Theorie der Versetzungen in eindimensionalen Atomreihen , 1951 .

[39]  H. Mikeska.  Solitons in a one-dimensional magnet with an easy plane , 1977 .

[40]  Pradeep Kumar,et al.  Magnetic solitons in superfluid 3 He , 1976 .

[41]  Mark J. Ablowitz,et al.  Method for Solving the Sine-Gordon Equation , 1973 .

[42]  A. Bishop,et al.  Weakly Pinned Fröhlich Charge-Density-Wave Condensates: A New, Nonlinear, Current-Carrying Elementary Excitation , 1976 .

[43]  W. Dieterich,et al.  The diffusion of interacting classical particles as a many boson problem , 1978 .

[44]  T. Schneider,et al.  Molecular-dynamics study of a three-dimensional one-component model for distortive phase transitions , 1978 .

[45]  H. Takayama,et al.  Quantum-statistical mechanics of extended objects. I. Kinks in the one-dimensional sine-Gordon system , 1979 .

[46]  J. R. Schrieffer,et al.  Dynamics and statistical mechanics of a one-dimensional model Hamiltonian for structural phase transitions , 1974 .

[47]  J. Friedel.  XIV. The distribution of electrons round impurities in monovalent metals , 1952 .

[48]  A. Scott,et al.  The soliton: A new concept in applied science , 1973 .

[49]  Statistics of nonlinear dispersive waves , 1977 .

[50]  E. Domany,et al.  Solitons in a Coupled Linear Chain System , 1977 .

[51]  H. Bethe,et al.  Zur Theorie der Metalle , 1931 .

[52]  A. Bishop.  Nonlinear collective excitations in superionic conductors , 1978 .

[53]  W. Döring,et al.  Über die Trägheit der Wände zwischen Weißschen Bezirken , 1948 .

[54]  Brosl Hasslacher,et al.  Particle spectrum in model field theories from semiclassical functional integral techniques , 1975 .

[55]  N. Gupta,et al.  Investigation of a class of one-dimensional nonlinear fields , 1976 .

[56]  Y. Sawada,et al.  Nonequilibrium stationary coupling of solitons , 1975 .

[57]  P. S. Sahni,et al.  Statistical-mechanical treatment of kinks in a one-dimensional model for displacive phase transitions , 1978 .

[58]  J. Kjems,et al.  Evidence for Soliton Modes in the One-Dimensional Ferromagnet CsNi F 3 , 1978 .

[59]  R. A. Ferrell,et al.  Statistical mechanics of one-dimensional Ginzburg--Landau fields , 1972 .

[60]  D. Thouless,et al.  Ordering, metastability and phase transitions in two-dimensional systems , 1973 .

[61]  M. Ablowitz,et al.  The Inverse scattering transform fourier analysis for nonlinear problems , 1974 .

[62]  R. Landauer,et al.  Nucleation Theory of Overdamped Soliton Motion , 1979 .

[63]  S. E. Trullinger,et al.  Statistical mechanics of the double-quadratic chain: Exact results and ideal-gas phenomenology for nonreflectionless solitary waves , 1979 .

[64]  A R Bishop,et al.  Solitons in Condensed Matter Physics , 1979 .

[65]  S. E. Trullinger,et al.  Failure of the WKB approximation in calculations of soliton free energies , 1979 .