Statistical mechanics of double sinh-Gordon kinks

DOI10.1016/S0167-2789(98)00133-XzbMath0958.82037arXivcond-mat/9808008MaRDI QIDQ1964234

Avinash Khare, Salman Habib, Avadh Saxena

Publication date: 6 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9808008

zbMATH Keywords

Langevin dynamicsprobability distribution functiondouble sinh-Gordon equationquasi-exactly solvable potentialkink lattice

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (10)

Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations ⋮ Semiclassical particle spectrum of double sine-Gordon model ⋮ EIGENENERGIES FOR THE RAZAVY POTENTIAL V(x) = (ζ cosh 2x-M)² USING THE ASYMPTOTIC ITERATION METHOD ⋮ Exact solutions of a class of double-well potentials: algebraic Bethe ansatz ⋮ New lump-like structures in models with hyperbolic interactions ⋮ Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain ⋮ Stochastic PDEs: Convergence to the continuum? ⋮ Nonlinear waves and solitons in physical systems ⋮ A minimal nonlinearity logarithmic potential: Kinks with super-exponential profiles ⋮ Connections between complex PT-invariant solutions and complex periodic solutions of several nonlinear equations

Cites Work

• Unnamed Item
• Statistical mechanics of kinks for quasi-exactly-solvable potentials
• Three-dimensional \(n\)-tuple sine-Gordon and related equations
• Numerical integration of stochastic differential equations.
• Wave equation for dissipative systems derived from a quantized many-body problem
• The sine-gordon and sinh-gordon equations on the circle
• Solitary Wave Collisions
• Exact Thermodynamics of the Double sinh-Gordon Theory in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions
• A certain double-well potential related to SU(2) symmetry
• Singular solution in a damped double sinh-Gordon system

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