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We examine the behavior of a model which describes the melting of double-stranded DNA chains. The model, with displacement-dependent stiffness constants and a Morse on-site potential, is analyzed numerically; depending on the stiffness…

统计力学 · 物理学 2009-10-31 Nikos Theodorakopoulos , Thierry Dauxois , Michel Peyrard

A lattice model of RNA denaturation which fully accounts for the excluded volume effects among nucleotides is proposed. A numerical study shows that interactions forming pseudoknots must be included in order to get a sharp continuous…

软凝聚态物质 · 物理学 2007-05-23 M. Baiesi , E. Orlandini , A. L. Stella

Recently Storm and Nelson [1] (Phys.Rev. E67, 51906 (2003)) introduced the discrete persistent chain model which contains both features of the freely jointed chain (FJC) and the wormlike chain (WLC) models. Equation (20) of their paper is…

软凝聚态物质 · 物理学 2009-11-10 Pui-Man Lam

The finite-size scaling theory for continuous phase transition plays an important role in determining critical point and critical exponents from the size-dependent behaviors of quantities in the thermodynamic limit. For percolation phase…

统计力学 · 物理学 2017-10-10 Yong Zhu , Xiaosong Chen

In this work, building on state-of-the-art quantum Monte Carlo simulations, we perform systematic finite-size scaling of both entanglement and participation entropies for long-range Heisenberg chain with unfrustrated power-law decaying…

强关联电子 · 物理学 2025-01-08 Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

One-dimensional thermodynamic instabilities are phase transitions not prohibited by Landau's argument, because the energy of the domain wall (DW) which separates the two phases is infinite. Whether they actually occur in a given system of…

统计力学 · 物理学 2007-06-17 Nikos Theodorakopoulos

The finite-size scaling algorithm based on bulk and surface renormalization of de Oliveira (1992) is tested on q-state Potts models in dimensions D = 2 and 3. Our Monte Carlo data clearly distinguish between first- and second-order phase…

凝聚态物理 · 物理学 2016-08-31 P. M. C. de Oliveira , S. M. Moss de Oliveira , C. E. Cordeiro , D. Stauffer

In this paper, we show that the coarse grain model for DNA, which has been proposed recently by Knotts, Rathore, Schwartz and de Pablo (J. Chem. Phys. 126, 084901 (2007)), can be adapted to describe the thermal and mechanical denaturation…

生物物理 · 物理学 2011-08-30 Ana-Maria Florescu , Marc Joyeux

Studying the order of the chiral transition for $N_f=2$ is of fundamental importance to understand the mechanism of color confinement. We present results of a numerical investigation on the order of the transition by use of a novel strategy…

高能物理 - 格点 · 物理学 2009-11-11 M. D'Elia , A. Di Giacomo , C. Pica

With the number of fully-sequenced genomes now well over a hundred it has become possible to start investigating if there are any quantitative regularities in the genetic make-up of genomes. In (physics/0307001), I originally showed that…

基因组学 · 定量生物学 2007-05-23 Erik van Nimwegen

A careful study is made on the lattice of the phase diagram of QCD with two staggered flavors, to investigate the order of the chiral transition of N_f=2 QCD. The specific heat and the susceptibility of the chiral condensate are determined…

高能物理 - 格点 · 物理学 2009-11-10 M. D'Elia , A. Di Giacomo , C. Pica

Accepting validity of self-consistent theory of localization by Vollhardt and Woelfle, we derive the relations of finite-size scaling for different parameters characterizing the level statistics. The obtained results are compared with the…

无序系统与神经网络 · 物理学 2015-06-18 I. M. Suslov

We study pairs of interacting self-avoiding walks on the 3d simple cubic lattice. They have a common origin and are allowed to overlap only at the same monomer position along the chain. The latter overlaps are indeed favored by an energetic…

软凝聚态物质 · 物理学 2009-10-31 Maria Serena Causo , Barbara Coluzzi , Peter Grassberger

We study the static and dynamical properties of DNA in the vicinity of its melting transition, i.e. the separation of the two strands upon heating. The investigation is based on a simple mechanical model which includes the helicoidal…

统计力学 · 物理学 2007-06-19 Maria Barbi , Stefano Lepri , Michel Peyrard , Nikos Theodorakopoulos

In this note, we revisit the scaling relations among ``hatted critical exponents'' which were first derived by Ralph Kenna, Des Johnston and Wolfhard Janke, and we propose an alternative derivation for some of them. For the scaling relation…

统计力学 · 物理学 2024-02-15 Leïla Moueddene , Arnaldo Donoso , Bertrand Berche

Following Poland and Scheraga, we consider a simplified model for the denaturation transition of DNA. The two strands are modeled as interacting polymer chains. The attractive interactions, which mimic the pairing between the four bases,…

软凝聚态物质 · 物理学 2009-11-07 T. Garel , C. Monthus , H. Orland

The origin of the non commutativity of the limits $t \to \infty$ and $N \to \infty$ in the dynamics of first order transitions is investigated. In the large-N model, i.e. $N \to \infty$ taken first, the low temperature phase is…

统计力学 · 物理学 2009-10-30 C. Castellano , F. Corberi , M. Zannetti

Experiments measuring DNA extension in nanochannels are at odds with even the most basic predictions of current scaling arguments for the conformations of confined semiflexible polymers such as DNA. We show that a theory based on a weakly…

生物物理 · 物理学 2018-01-03 E. Werner , G. K. Cheong , D. Gupta , K. D. Dorfman , B. Mehlig

The interaction between charged objects in an electrolyte solution is a fundamental question in soft matter physics. It is well-known that the electrostatic contribution to the interaction energy decays exponentially with object separation.…

软凝聚态物质 · 物理学 2017-08-02 Alpha A. Lee , Carla Perez-Martinez , Alexander M. Smith , Susan Perkin

This manuscript was originally submitted to Nature for consideration as a "Brief Communication" in response to a "Corrigendum" that appeared in 2006 (1) to an earlier paper in Nature. That corrigendum was the subject of a Nature editorial…

材料科学 · 物理学 2011-06-23 John Silcox , David A. Muller