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How topological defects affect the dynamics of particles hopping between lattice sites of a distorted, two-dimensional crystal is addressed. Perturbation theory and numerical simulations show that weak, short-ranged topological disorder…

Statistical Mechanics · Physics 2007-05-23 Ligang Chen , Michael W. Deem

Localization property in the disordered few-chain DNA systems with a long-range correlation is numerically investigated. We apply the chain system with the correlated disorder in the interchain and/or intrachain hoppings to the simple model…

Disordered Systems and Neural Networks · Physics 2009-09-29 Hiroaki Yamada

By exploring a recent model [Palmeri, J., M. Manghi, and N. Destainville. 2007. Phys. Rev. Lett. 99:088103] where DNA bending elasticity, described by the wormlike chain model, is coupled to base-pair denaturation, we demonstrate that small…

Statistical Mechanics · Physics 2010-06-22 Nicolas Destainville , Manoel Manghi , John Palmeri

We present an atomic scale theory of lattice distortions using strain related variables and their constraint equations. Our approach connects constrained atomic length scale variations to continuum elasticity and describes elasticity at all…

Superconductivity · Physics 2009-11-10 K. H. Ahn , Jian-Xin Zhu , Z. Nussinov , T. Lookman , A. Saxena , A. V. Balatsky , A. R. Bishop

A complete methodology, based on a two-scale asymptotic approach, that enables the homogenisation of elastic lattices at non-zero frequencies is developed. Elastic lattices are distinguished from scalar lattices in that two or more types of…

Classical Physics · Physics 2014-07-09 D. J. Colquitt , R. V. Craster , M. Makwana

The two-dimensional Hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation. The self energy is computed within perturbation theory up to second order, which provides a way for…

Strongly Correlated Electrons · Physics 2009-02-26 C. A. Lamas

It appears that thermally activated DNA bubbles of different sizes play central roles in important genetic processes. Here we show that the probability for the formation of such bubbles is regulated by the number of soft AT pairs in…

Soft Condensed Matter · Physics 2007-05-23 Z. Rapti , A. Smerzi , K. Ø. Rasmussen , A. R. Bishop

The nonlinear excitations induced in DNA by external force are considered on the basis of Peyrard-Bishop-Dauxois model. It is shown that such impact can lead to creation of bubbles which can propogate through the molecule. The interaction…

Other Condensed Matter · Physics 2014-02-06 V. D. Lakhno , A. P. Chetverikov

We study the nonlinear dynamics of a deformed Deoxyribonucleic acid (DNA) molecular chain which is governed by a perturbed sine-Gordon equation coupled with a linear wave equation representing the lattice deformation. The DNA chain…

Pattern Formation and Solitons · Physics 2009-11-13 V. Vasumathi , M. Daniel

Motivated by the recent progress in realizing and controlling extended Bose-Hubbard systems using excitonic or atomic devices, the present Letter theoretically investigates the case of a two-band Bose-Hubbard chain with nearest-neighbor…

In scattering experiments, the dynamical structure factor (DSF) characterizes inter-particle correlations and their time evolution. We analytically evaluated the DSF of disordered solids with disorder in the spring constant, by averaging…

Disordered Systems and Neural Networks · Physics 2021-05-21 Bingyu Cui , Alessio Zaccone , Eugene Terentjev

We investigate the effects of disorder in a hybridized two-dimensional two-band s-wave superconductor model. The situation in which electronic orbitals form these bands with angular momentum such that the hybridization $V_{i,j}$ among them…

Superconductivity · Physics 2023-11-08 Heron Caldas , S. Rufo , M. A. R. Griffith

Double-strand breaks (DSBs) in DNA are naturally occurring destructive events in all organisms that may lead to genome instability. Cells employ various repair methods known as non-homologous end joining (NHEJ), microhomology mediated end…

The formation of local denaturation zones (bubbles) in double-stranded DNA is an important example for conformational changes of biological macromolecules. We study the dynamics of bubble formation in terms of a Fokker-Planck equation for…

Soft Condensed Matter · Physics 2009-11-10 Andreas Hanke , Ralf Metzler

In this paper we consider a physical system in which two DNA molecules braid about each other. The distance between the two molecular ends, on either side of the braid, is held at a distance much larger than supercoiling radius of the…

Soft Condensed Matter · Physics 2014-07-02 Dominic J. , Lee

We study the effect of random forces on a double stranded DNA in unzipping the two strands, analogous to the problem of an adsorbed polymer under a random force. The ground state develops bubbles of various lengths as the random force…

Soft Condensed Matter · Physics 2007-05-23 Rajeev Kapri , Somendra M. Bhattacharjee

Biological information is not only stored in the digital chemical sequence of double helical DNA, but is also encoded in the mechanical properties of the DNA strands, which can influence biochemical processes involving its readout. For…

Soft Condensed Matter · Physics 2015-06-10 Christian Matek , Thomas E. Ouldridge , Jonathan P. K. Doye , Ard A. Louis

We present results of theoretical description of ultrasonic phenomena in molecular liquids. In particular, we are interested in the development of microscopical, i.e., statistical-mechanical framework capable to explain the long living…

Statistical Mechanics · Physics 2007-08-30 A. E. Kobryn , F. Hirata

It is shown that, an entire class of off-diagonally disordered linear lattices composed of two basic building blocks and described within a tight binding model can be tailored to generate absolutely continuous energy bands. It can be…

Disordered Systems and Neural Networks · Physics 2016-09-09 Atanu Nandy , Biplab Pal , Arunava Chakrabarti

We investigate the localization property of an electron in the disordered two-chain system (ladder model) with long-range correlation as a simple model for electronic property in DNA sequence. The chains are constructed by repetition of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hiroaki Yamada