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We present a new Monte Carlo algorithm that produces results of high accuracy with reduced simulational effort. Independent random walks are performed (concurrently or serially) in different, restricted ranges of energy, and the resultant…

Statistical Mechanics · Physics 2009-10-31 Fugao Wang , D. P. Landau

In this paper, we use the biological domain knowledge incorporated into stochastic models for ab initio RNA secondary-structure prediction to improve the state of the art in joint compression of RNA sequence and structure data (Liu et al.,…

Biomolecules · Quantitative Biology 2023-02-24 Evarista Onokpasa , Sebastian Wild , Prudence W. H. Wong

We describe an efficient Monte Carlo algorithm using a random walk in energy space to obtain a very accurate estimate of the density of states for classical statistical models. The density of states is modified at each step when the energy…

Statistical Mechanics · Physics 2009-11-07 Fugao Wang , David. P. Landau

Using a distinguishable-particle lattice model based on void-induced dynamics, we successfully reproduce the well-known linear relation between heat capacity and temperature at very low temperatures. The heat capacity is dominated by…

Soft Condensed Matter · Physics 2022-12-14 Xin-Yuan Gao , Hai-Yao Deng , Chun-Shing Lee , J. Q. You , Chi-Hang Lam

DNA is an astonishing material that can be used as a molecular building block to construct periodic arrays and devices with nanoscale accuracy and precision. Here, we present simple bead-spring model of DNA nanostars having three, four and…

Soft Condensed Matter · Physics 2021-10-22 Supriyo Naskar , Dhiraj Bhatia , Shiang-Tai Lin , Prabal K. Maiti

We use a standard Monte-Carlo algorithm to study the slow dynamics of a binary Lennard-Jones glass-forming mixture at low temperature. We find that Monte-Carlo is by far the most efficient way to simulate a stochastic dynamics since…

Statistical Mechanics · Physics 2015-06-25 Ludovic Berthier , Walter Kob

Conformational dynamics is crucial for ribonucleic acid (RNA) function. Techniques such as nuclear magnetic resonance, cryo-electron microscopy, small- and wide-angle X-ray scattering, chemical probing, single-molecule F\"orster resonance…

Biomolecules · Quantitative Biology 2025-01-31 Mattia Bernetti , Giovanni Bussi

We use replica exchange Monte-Carlo simulations to measure the equilibrium equation of state of the disordered fluid state for a binary hard sphere mixture up to very large densities where standard Monte-Carlo simulations do not easily…

Statistical Mechanics · Physics 2011-02-04 Gerardo Odriozola , Ludovic Berthier

We introduce and study a model which admits a complex landscape without containing quenched disorder. Continuing our previous investigation we introduce a disordered model which allows us to reconstruct all the main features of the original…

Condensed Matter · Physics 2009-10-22 Enzo Marinari , Giorgio Parisi , Felix Ritort

Simulating percolation and critical phenomena of labelled species inside films composed of single-component linear homogeneous macromolecules using molecular Monte Carlo method in 3 dimensions, we study dependence of these conducting…

Soft Condensed Matter · Physics 2019-09-05 Yuki Norizoe , Hiroshi Morita

We present a model for the dynamics in energy space of multicanonical simulation methods that lends itself to a rather complete analytic characterization. The dynamics is completely determined by the density of states. In the \pm J 2D spin…

Statistical Mechanics · Physics 2007-05-23 Miguel D. Costa , J. Viana Lopes , J. M. B. Lopes dos Santos

Across many scientific and engineering disciplines, it is important to consider how much the output of a given system changes due to perturbations of the input. Here, we investigate the glassy phase of $\pm J$ spin glasses at zero…

Disordered Systems and Neural Networks · Physics 2022-10-24 Vaibhav Mohanty , Ard A. Louis

Glassy systems are disordered systems characterized by extremely slow dynamics. Examples are supercooled liquids, whose dynamics slow down under cooling. The specific pattern of slowing-down depends on the material considered. This…

Disordered Systems and Neural Networks · Physics 2016-04-12 Le Yan

We present a simple mathematical framework for the description of the dynamics of glassy systems in terms of a random walk in a complex energy landscape pictured as a network of minima. We show how to use the tools developed for the study…

Statistical Mechanics · Physics 2015-03-17 Paolo Moretti , Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras

We study, using simulations the dynamical properties of complex ferromagnetic granular materials. The system of grains is modeled by a disordered two-dimensional lattice in which the grains are embedded, while the magnitude and direction of…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Ran Itay , Shlomo Havlin , Richard Berkovits

We introduce a method for predicting RNA folding pathways, with an application to the most important RNA tetraloops. The method is based on the idea that ensembles of three-dimensional fragments extracted from high-resolution crystal…

Biomolecules · Quantitative Biology 2016-11-21 Sandro Bottaro , Alejandro Gil-Ley , Giovanni Bussi

We study the dynamics of a glassy model with infinite range interactions externally driven by an oscillatory force. We find a well-defined transition in the (Temperature-Amplitude-Frequency) phase diagram between (i) a `glassy' state…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Leticia F. Cugliandolo , Jose Luis Iguain

The computer-aided folding of biomolecules, particularly RNAs, is one of the most difficult challenges in computational structural biology. RNA tetraloops are fundamental RNA motifs playing key roles in RNA folding and RNA-RNA and…

Biomolecules · Quantitative Biology 2016-09-28 Petra Kührová , Robert B. Best , Sandro Bottaro , Giovanni Bussi , Jiří Šponer , Michal Otyepka , Pavel Banáš

Despite great interest in solving RNA secondary structures due to their impact on function, it remains an open problem to determine structure from sequence. Among experimental approaches, a promising candidate is the "chemical modification…

Quantitative Methods · Quantitative Biology 2011-06-30 Sharon Aviran , Julius B. Lucks , Lior Pachter

We use a Monte Carlo bond-switching method to study systematically the thermodynamic properties of a "continuous random network" model, the canonical model for such amorphous systems as a-Si and a-SiO$_2$. Simulations show first-order…

Statistical Mechanics · Physics 2009-10-31 Yuhai Tu , J. Tersoff , G. Grinstein , David Vanderbilt
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