Analysis of Lattice Size, Energy Density and Denaturation for a One-Dimensional DNA Model

• 作者: Elso Drigo Filho Gabriel Gouvea Slade Jose Roberto Ruggiero Natalia Favaro Ribeiro
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: DNA Mechanical MODEL Peyrard-Bishop MODEL LATTICE SIZE Thermal DENATURATION
• 年，卷（期）: 2012,（2）
• 页码范围: 84-89
• 页数: 6页
• 分类号: O1

摘要

There are several mechanical models to describe the DNA phenomenology. In this work the DNA denaturation is studied under thermodynamical and dynamical point of view using the well known Peyrard-Bishop model. The thermodynamics analysis using the transfer integral operator method is briefly reviewed. In particular, the lattice size is discussed and a conjecture about the minimum energy to denaturation is proposed. In terms of the dynamical aspects of the model, the equations of motion for the system are integrated and the results determine the energy density where the denatura- tion occurs. The behavior of the lattice near the phase transition is analyzed. The relation between the thermodynamical and dynamical results is discussed.