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These notes are devoted to the statistical mechanics of directed polymers interacting with one-dimensional spatial defects. We are interested in particular in the situation where frozen disorder is present. These polymer models undergo a…

Probability · Mathematics 2008-06-10 F. Toninelli

For a model of DNA denaturation, exponents describing the distributions of denaturated loops and unzipped end-segments are determined by exact enumeration and by Monte Carlo simulations in two and three dimensions. The loop distributions…

Statistical Mechanics · Physics 2007-05-23 Marco Baiesi , Enrico Carlon , Attilio Stella

The Peyrard-Bishop DNA model describes the molecular interactions with simple potentials which allow efficient calculations of melting temperatures. However, it is based on a Hamiltonian that does not consider the helical twist or any other…

Biomolecules · Quantitative Biology 2020-07-16 Mateus Rodrigues Leal , Gerald Weber

We present a precise equivalence of the Lifson-Poland-Scheraga model with wetting models. Making use of a representation of the former model in terms of random matrices, we obtain, in the limit of weak disorder, a mean--field approximation,…

Statistical Mechanics · Physics 2015-06-05 Hervé Kunz , Roberto Livi

The simplified model of first-order transition in a media with frozen long-range transition-temperature disorder is considered. It exhibits the smearing of the transition due to appearance of the intermediate inhomogeneous phase with…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. N. Timonin

The melting phase diagram of a double-stranded DNA in poor solvent is studied using the pruned and enriched Rosenbluth method on a simple cubic lattice. As the solvent quality is changed from good to poor, there is a non-monotonic change in…

Soft Condensed Matter · Physics 2023-06-21 Debjyoti Majumdar

The melting transition of deoxyribonucleic acid (DNA), whereby the strands of the double helix structure completely separate at a certain temperature, has been characterized using neutron scattering. A Bragg peak from B-form fibre DNA has…

In this paper we report direct measurement of large low frequency temperature fluctuations in double stranded (ds) DNA when it undergoes thermal denaturation transition. The fluctuation, which occurs only in the temperature range where the…

Statistical Mechanics · Physics 2007-05-23 K. S. Nagapriya , A. K. Raychaudhuri , Dipankar Chatterji

We study the feasibility of strong first-order electroweak phase transition (EWPT) in a degenerate-scalar scenario of a complex singlet extension of the Standard Model, in which a mass of an additional scalar is nearly degenerate with that…

High Energy Physics - Phenomenology · Physics 2021-11-30 Gi-Chol Cho , Chikako Idegawa , Eibun Senaha

Thermal denaturation of DNA is often studied with coarse-grained models in which native sequential base pairing is mimicked by the existence of attractive interactions only between monomers at the same position along strands (Poland and…

Statistical Mechanics · Physics 2014-01-22 Jaya Maji , Somendra M. Bhattacharjee , Flavio Seno , Antonio Trovato

The denaturation transition of circular DNA is studied within a Poland-Scheraga type approach, generalized to account for the fact that the total linking number (LK), which measures the number of windings of one strand around the other, is…

Statistical Mechanics · Physics 2015-06-05 Amir Bar , Alkan Kabakçıoğlu , David Mukamel

The denaturation of the double helix is a template for fundamental biological functions such as replication and transcription involving the formation of local fluctuational openings. The denaturation transition is studied for heterogeneous…

Biomolecules · Quantitative Biology 2014-06-03 Marco Zoli

DNA has a well-defined structural transition -- the denaturation of its double-stranded form into two single strands -- that strongly affects its thermal transport properties. We show that, according to a widely implemented model for DNA…

Soft Condensed Matter · Physics 2013-02-12 Chih-Chun Chien , Kirill A. Velizhanin , Yonatan Dubi , Michael Zwolak

The denaturation dynamics of a long double-stranded DNA is studied by means of a model of the Poland-Scheraga type. We note that the linking of the two strands is a locally conserved quantity, hence we introduce local updates that respect…

Statistical Mechanics · Physics 2009-01-28 Marco Baiesi , Roberto Livi

As sections of a strand duplexed DNA denature when exposed to high temperature, the excess linking number is taken up by the undenatured portions of the molecule. The mechanical energy that arises because of the overwinding of the…

Soft Condensed Matter · Physics 2009-11-07 Joseph Rudnick , Robijn Bruinsma

Starting from an ideal crystalline state, we numerically study a nonequilibrium dynamical order- disorder transition promoted by the application of a periodic shearing protocol at low temperatures in model systems in two and three…

Soft Condensed Matter · Physics 2021-08-10 Eric Brillaux , Francesco Turci

We consider general disordered models of pinning of directed polymers on a defect line. This class contains in particular the $(1+1)$--dimensional interface wetting model, the disordered Poland--Scheraga model of DNA denaturation and other…

Probability · Mathematics 2007-05-23 G. Giacomin , F. L. Toninelli

The phase transition between charge- and spin-density-wave (CDW, SDW) phases is studied in the one-dimensional extended Hubbard model at half-filling. We discuss whether the transition can be described by the Gaussian and the spin-gap…

Strongly Correlated Electrons · Physics 2009-10-31 Masaaki Nakamura

The extension of the standard model by a real gauge singlet scalar is the simplest but the most studied model with sometimes controversial ideas on the ability of the model to address the dark matter and the electroweak phase transition…

High Energy Physics - Phenomenology · Physics 2019-07-08 Karim Ghorbani , Parsa Hossein Ghorbani

The denaturation of double-stranded DNA as function of force and temperature is discussed. At room temperature, sequence heterogeneity dominates the physics of single molecule force-extension curves starting about 7 piconewtons of below a…

Condensed Matter · Physics 2007-05-23 David R. Nelson