Entropy-driven transition in a one-dimensional system
- 1 May 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (5) , 4027-4040
- https://doi.org/10.1103/physreve.51.4027
Abstract
We investigate the statistical mechanics of a one-dimensional model with nearest-neighbor interactions and a substrate potential that exhibits an entropy-driven transition. Approximate analytical results obtained with the second-order self-consistent phonons method are presented. Two different numerical methods are used to derive exact numerical results for the thermodynamical functions. Finally, we discuss the important features of the Hamiltonian, which are responsible for this phase transition.Keywords
This publication has 25 references indexed in Scilit:
- Mean-field theory of entropy-driven structural phase transitionsPhysical Review B, 1993
- Absence of enhanced fluctuations as a first-order phase transition is approached: An exact transfer-matrix studyPhysical Review E, 1993
- Analytic prediction of the exact thermodynamics of a first-order structural phase transition: A practical second-order self-consistent phonon theoryPhysical Review B, 1992
- Finite-size scaling study of a first-order temperature-driven symmetry-breaking structural phase transitionJournal of Statistical Physics, 1992
- First-order displacive structural phase transitions studied by computer simulationPhysical Review B, 1992
- Vibrational entropy effects at a diffusionless first-order solid-to-solid transitionPhysical Review B, 1991
- Exactly solvable heterophase fluctuations at a vibrational-entropy-driven first-order phase transitionPhysical Review Letters, 1990
- Structural phase transitions with little phonon softening and first-order characterPhysical Review B, 1989
- Principles of Nucleic Acid StructurePublished by Springer Nature ,1984
- Sur L'intégrale de Configuration Pour Les Systèmes De Particules À Une DimensionPhysica, 1950