Phonons and solitons in the ''thermal'' sine-Gordon system

Journal Article · Sat Sep 01 00:00:00 EDT 1984 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.30.2635· OSTI ID:6301633

Salerno, M; Joergensen, E; Samuelsen, M R

Standard methods of stochastic processes are used to study the coupling of the sine-Gordon system with a heat reservoir. As a result we find thermal phonons with an average energy of k/sub B/T per mode. The translational mode (zero mode) is found to carry an average energy of (1/2)k/sub B/T. This last value is just the energy in the Brownian motion of a thermal soliton. These results are in agreement with those obtained by the use of a statistical-mechanical description of a dilute soliton gas. Connection of the above results with Josephson junctions and the extension of the analysis to more general equations is also discussed.

• Research Organization: Laboratory of Applied Mathematical Physics, The Technical University of Denmark, DK-2800 Lyngby, Denmark
• OSTI ID: 6301633
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 30:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COUPLING
ENERGY TRANSFER
EQUATIONS
FIELD EQUATIONS
HEAT TRANSFER
JOSEPHSON JUNCTIONS
JUNCTIONS
MECHANICS
PHONONS
QUASI PARTICLES
SINE-GORDON EQUATION
SOLITONS
STATISTICAL MECHANICS
SUPERCONDUCTING JUNCTIONS