arXivDaily arXiv每日学术速递 周一至周五更新
arXiv physics/0604076physics.bio-phcond-mat.stat-mech
收藏

序参量和/或内长发散系统相变时的标度律:以DNA变性为例

On scaling laws at the phase transition of systems with divergent order parameter and/or internal length : the example of DNA denaturation

Sahin Buyukdagli, Marc Joyeux

摘要:

在不确定度小于5%的条件下,利用转移积分方法计算了两个DNA热变性动力学模型的六个基本特征指数,并研究了标度律的有效性.关于这一点的疑问出现,因为所研究的系统(i)有一个发散的内部长度,(ii)由一个发散的序参量描述,(iii)是1维。我们发现,自由能可以描述为一个单一的齐次函数的假设是强大的,尽管发散的序参量,使Rushbrooke和Widom的身份是有效的关系。约瑟夫森的身份反而不满意。这可能是由于内部长度的发散,这使相关长度仅对热力学量的奇异贡献负责的假设无效。费舍尔的身份更是错误的。我们证明了这是由于d=1维数,并得到了一个替代的法律,这是很好地满足DNA热变性。

英文摘要:

We used the Transfer-Integral method to compute, with an uncertainty smaller than 5%, the six fundamental characteristic exponents of two dynamical models for DNA thermal denaturation and investigate the validity of the scaling laws. Doubts concerning this point arise because the investigated systems (i) have a divergent internal length, (ii) are described by a divergent order parameter, (iii) are of dimension 1. We found that the assumption that the free energy can be described by a single homogeneous function is robust, despite the divergence of the order parameter, so that Rushbrooke's and Widom's identities are valid relations. Josephson's identity is instead not satisfied. This is probably due to the divergence of the internal length, which invalidates the assumption that the correlation length is solely responsible for singular contributions to thermodynamic quantities. Fisher's identity is even wronger. We showed that this is due to the d=1 dimensionality and obtained an alternative law, which is well satisfied at DNA thermal denaturation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑