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We investigate properties of the particle distribution near the tip of one-dimensional branching random walks at large times $t$, focusing on unusual realizations in which the rightmost lead particle is very far ahead of its expected…

Statistical Mechanics · Physics 2020-08-07 A. H. Mueller , S. Munier

Phase transformations ruled by non-simultaneous nucleation and growth do not lead to random distribution of nuclei. Since nucleation is only allowed in the untransformed portion of space, positions of nuclei are correlated. In this article…

Chemical Physics · Physics 2018-02-14 Massimo Tomellini

The entropy loss due to the formation of one or multiple loops in circular and linear DNA chains is calculated from a scaling approach in the limit of long chain segments. The analytical results allow to obtain a fast estimate for the…

Statistical Mechanics · Physics 2009-11-07 Andreas Hanke , Ralf Metzler

The analysis of Tables of particle properties shows that the probability distribution of the results of physical measurements is far from the conventional Gaussian $\rho(\xi)=exp(-\xi^2/2) $, but is more likely to follow the simple…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. P. Bukhvostov

The equilibrium statistical properties of DNA denaturation bubbles are examined in detail within the framework of the Peyrard-Bishop-Dauxois model. Bubble formation in homogeneous DNA is found to depend crucially on the presence of…

Statistical Mechanics · Physics 2008-03-26 Nikos Theodorakopoulos

We study the elastic behaviour of a supercoiled DNA molecule. The simplest model is that of a rod like chain, involving two elastic constants, the bending and the twist rigidities. We show that this model is singular and needs a small…

Condensed Matter · Physics 2009-10-31 Claude Bouchiat , Marc Mezard

The twisting deformation of mechanically stretched DNA molecules is studied by a coarse grained Hamiltonian model incorporating the fundamental interactions that stabilize the double helix and accounting for the radial and angular base pair…

Soft Condensed Matter · Physics 2017-12-15 Marco Zoli

Living cells provide a fluctuating, out-of-equilibrium environment in which genes must coordinate cellular function. DNA looping, which is a common means of regulating transcription, is very much a stochastic process; the loops arise from…

Biomolecules · Quantitative Biology 2015-05-18 Yih-Fan Chen , J. N. Milstein , Jens-Christian Meiners

We study the behavior of the effective potential between revolving D$p$-branes at all ranges of the distance $r$, interpolating $r \gg l_s$ and $r \ll l_s$ ($l_s$ is the string length). Since the one-loop open string amplitude cannot be…

High Energy Physics - Theory · Physics 2020-02-19 Satoshi Iso , Noriaki Kitazawa , Hikaru Ohta , Takao Suyama

We considered a dsDNA polymer in which distribution of bases are random at the base pair level but ordered at a length of 18 base pairs and calculated its force elongation behaviour in the constant extension ensemble. The unzipping force…

Soft Condensed Matter · Physics 2007-05-23 Navin Singh , Yashwant Singh

Elastic form factors provide information about the low energy structure of composite particles.Recent double polarization coincidence experiments significantly improved our knowledge of proton and neutron form factors. Recoil polarization…

Nuclear Experiment · Physics 2007-05-23 H. Schmieden

We use a large single particle tracking data set to analyze the short time and small spatial scale motion of quantum dots labeling proteins in cell membranes. Our analysis focuses on the jumps which are the changes in the position of the…

Quantitative Methods · Quantitative Biology 2015-01-08 Flor A. Espinoza , Stanly L. Steinberg

We study how the two-point density correlation properties of a point particle distribution are modified when each particle is divided, by a stochastic process, into an equal number of identical "daughter" particles. We consider generically…

Statistical Mechanics · Physics 2009-11-13 Andrea Gabrielli , Michael Joyce

Numerous experiments on charge transfer in DNA yield a contradictory picture of the transfer: on the one hand they suggest that it is a very slow process and the charge is almost completely localized on one Watson-Crick pair, but on the…

Biological Physics · Physics 2013-04-22 V. D. Lakhno , V. B. Sultanov

When pulled along its axis, double-stranded DNA elongates abruptly at a force of about 65 pN. Two physical pictures have been developed to describe this overstretched state. The first proposes that strong forces induce a phase transition to…

Statistical Mechanics · Physics 2015-06-25 Stephen Whitelam , Sander Pronk , Phillip L. Geissler

We present a study on the role of defects on the stability of short DNA molecules. We consider short DNA molecules (16 base pairs) and investigate the thermal as well as mechanical denaturation of these molecules in the presence of defects…

Statistical Mechanics · Physics 2015-09-29 Amar Singh , Navin Singh

Transfer-matrix methods are used to study the probability distributions of spin-spin correlation functions $G$ in the two-dimensional random-field Ising model, on long strips of width $L = 3 - 15$ sites, for binary field distributions at…

Statistical Mechanics · Physics 2009-10-31 S. L. A. de Queiroz , R. B. Stinchcombe

Motivated by empirical observations of algebraic duplicated sequence length distributions in a broad range of natural genomes, we analytically formulate and solve a class of simple discrete duplication/substitution models that generate…

Mathematical Physics · Physics 2013-10-30 M. V. Koroteev , J. Miller

In cond-mat/9907125 the low-temperature behavior of a model for RNA secondary structure was studied. It is claimed that the model exhibits a breaking of the replica symmetry, since the width of the distribution P(q) of overlaps may converge…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexander K. Hartmann

By resorting to the thick-chain model we discuss how the stretching response of a polymer is influenced by the self-avoidance entailed by its finite thickness. The characterization of the force versus extension curve for a thick chain is…

Soft Condensed Matter · Physics 2009-11-11 Ngo Minh Toan , Cristian Micheletti