Exact Thermodynamics of the Double sinh-Gordon Theory in 1+1 Dimensions

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.3797· OSTI ID:553108

Khare, A ^[1]; Habib, S ^[2]; Saxena, A ^[3]

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1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005 (India)
2. T-8, MS B285, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
3. T-11, MS B262, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We study the classical thermodynamics of a (1+1) -dimensional double-well sinh-Gordon theory. Remarkably, the Schr{umlt o}dinger-like equation resulting from the transfer integral method is quasi-exactly solvable at several temperatures. This allows exact calculation of the partition function and some correlation functions above and below the short-range order ({open_quotes}kink{close_quotes}) transition, in striking agreement with high resolution Langevin simulations. Interesting connections with the Landau-Ginzburg and double sine-Gordon models are also established. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 553108
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CORRELATION FUNCTIONS
GINZBURG-LANDAU THEORY
LANGEVIN EQUATION
PARTITION FUNCTIONS
SCHROEDINGER EQUATION
SIMULATION
SINE-GORDON EQUATION
THERMODYNAMICS