Thermodynamics of Toda lattice models: Application to DNA

DOI10.1016/0167-2789(93)90032-VzbMath0783.92014MaRDI QIDQ1312391

Yu-zhong Chen, R. K. Bullough, Jussi Timonen

Publication date: 31 January 1994

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

zbMATH Keywords

Toda latticeaction-angle variablesfree energy densitycoupled integral equationsDNA moleculegeneralised Bethe ansatzphonon degrees of freedomsoliton-soliton interactionstemperature dependence of the soliton number density

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of statistical mechanics to specific types of physical systems (82D99) Statistical thermodynamics (82B30)

Related Items (3)

Effective stochastic model for chaos in the Fermi-Pasta-Ulam-Tsingou chain ⋮ Extended mixed function method and its application for solving two classic Toda lattice equations ⋮ Equilibrium thermodynamics and thermodynamic processes in nonlinear systems

Cites Work

• A Toda lattice model for DNA: Thermally generated solitons
• Quantum and classical integrability: New approaches in statistical mechanics
• Quantum and classical statistical mechanics of the sinh-Gordon equation
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• The spectral theory of a functional-difference operator in conformal field theory
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