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In many systems, the time scales of the microscopic dynamics and macroscopic dynamics of interest are separated by many orders of magnitude. Examples abound, for instance nucleation, protein folding, and chemical reactions. For these…

Other Condensed Matter · Physics 2009-11-13 J. Kuipers , G. T. Barkema

It has been a long challenge to analytically construct the quantitative temperature-dependent multi-well free-energy landscape over the space of order parameters describing phase transitions and associated critical phenomena. Here we…

Materials Science · Physics 2022-12-07 Yi Wang , Tiannan Yang , Shun-Li Shang , Long-Qing Chen , Zi-Kui Liu

We present a molecular dynamics based method for computing accurately short-range structural forces resulting from the overlap of spatially diffuse solid-liquid interfaces at wetted grain boundaries close to the melting point. The method is…

Materials Science · Physics 2009-11-13 J. J. Hoyt , David Olmsted , Saryu Jindal , Mark Asta , Alain Karma

To ensure fast gene activation, Transcription Factors (TF) use a mechanism known as facilitated diffusion to find their DNA promoter site. Here we analyze such a process where a TF alternates between 3D and 1D diffusion. In the latter (TF…

Subcellular Processes · Quantitative Biology 2015-05-27 Juergen Reingruber , David Holcman

Using Wang-Landau sampling with suitable Monte Carlo trial moves (pull moves and bond-rebridging moves combined) we have determined the density of states and thermodynamic properties for a short sequence of the HP protein model. For free…

Soft Condensed Matter · Physics 2015-03-18 Ying Wai Li , Thomas Wüst , David P. Landau

Rare transitions between long-lived stable states are often analyzed in terms of free energy landscapes computed as functions of a few collective variables. Here, using transitions between geometric phases as example, we demonstrate that…

Computational Physics · Physics 2017-08-11 Clemens Moritz , Andreas Tröster , Christoph Dellago

A method to generate reactive trajectories, namely equilibrium trajectories leaving a metastable state and ending in another one is proposed. The algorithm is based on simulating in parallel many copies of the system, and selecting the…

Statistical Mechanics · Physics 2015-05-19 Frédéric Cérou , Arnaud Guyader , Tony Lelièvre , David Pommier

We present a continuum theory to describe elastically induced phase transitions between coherent solid phases. In the limit of vanishing elastic constants in one of the phases, the model can be used to describe fracture on the basis of the…

Materials Science · Physics 2009-11-13 R. Spatschek , C. Mueller-Gugenberger , E. Brener , B. Nestler

A detailed description of the conformational plasticity of double stranded DNA (ds) is a necessary framework for understanding protein-DNA interactions. Until now, however structure and kinetics of the transition from the basic conformation…

Soft Condensed Matter · Physics 2011-03-04 Pasquale Bianco , Lorenzo Bongini , Luca Melli , Mario Dolfi , Vincenzo Lombardi

Nested sampling is a Bayesian sampling technique developed to explore probability distributions lo- calised in an exponentially small area of the parameter space. The algorithm provides both posterior samples and an estimate of the evidence…

Biomolecules · Quantitative Biology 2015-03-17 Nikolas S. Burkoff , Csilla Varnai , Stephen A. Wells , David L. Wild

Protein characterization is one of the key components for understanding the human body and advancing drug discovery processes. While the future of quantum hardware holds the potential to accurately characterize these molecules, current…

Quantum Physics · Physics 2025-05-05 Laia Coronas Sala , Parfait Atchade-Adelemou

Deformation microstructure heterogeneities play a pivotal role during dislocation patterning and interface network restructuring. Thus, they affect indirectly how an alloy recrystallizes if at all. Given this relevance, it has become common…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Markus Kühbach , Franz Roters

The knowledge of the Free Energy Landscape topology is the essential key to understand many biochemical processes. The determination of the conformers of a protein and their basins of attraction takes a central role for studying molecular…

Biomolecules · Quantitative Biology 2009-06-26 Diego Prada-Gracia , Jesus Gomez-Gardenes , Pablo Echenique , Fernando Falo

Recent studies attracted the attention on the inherent structure landscape (ISL) approach as a reduced description of proteins allowing to map their full thermodynamic properties. However, the analysis has been so far limited to a single…

Statistical Mechanics · Physics 2009-12-22 Johannnes-Geert Hagmann , Naoko Nakagawa , Michel Peyrard

Single-molecule experiments provide new insights into biological processes hitherto not accessible by measurements performed on bulk systems. We report on a study of the kinetics of a triple-branch DNA molecule with four conformational…

Biological Physics · Physics 2011-06-13 Sandra Engel , Anna Alemany , Nuria Forns , Philipp Maass , Felix Ritort

Enhanced sampling methods such as metadynamics and umbrella sampling have become essential tools for exploring the configuration space of molecules and materials. At the same time, they have long faced a number of issues such as the…

Chemical Physics · Physics 2021-12-28 Dongdong Wang , Yanze Wang , Junhan Chang , Linfeng Zhang , Han Wang , Weinan E

Granular systems confined in vertically vibrated shallow horizontal boxes (quasi two-dimensional geometry) present a liquid to solid phase transition when the frequency of the periodic forcing is increased. An effective model, where grains…

Statistical Mechanics · Physics 2018-08-08 Dino Risso , Rodrigo Soto , Marcelo Guzman

We present a new method for investigating first-order phase transitions using Monte Carlo simulations. It relies on the multiple-histogram method and uses solely histograms of individual phases. In addition, we extend the method to include…

adap-org · Physics 2009-10-28 Martin Ebeling , Walter Nadler

The protein folding is regarded as a quantum transition between torsion states on polypeptide chain. The deduction of the folding rate formula in our previous studies is reviewed. The rate formula is generalized to the case of frequency…

Biomolecules · Quantitative Biology 2010-08-24 Liaofu Luo

In the current AFM experiments the distribution of unfolding times, P(t), is measured by applying a constant stretching force f_s from which the apparent unfolding rate is obtained. To describe the complexity of the underlying energy…

Soft Condensed Matter · Physics 2009-11-11 V. Barsegov , D. Klimov , D. Thirumalai
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