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The equilibrium free energy landscape of an off-lattice model protein as a function of an internal (reaction) coordinate is reconstructed from out-of-equilibrium mechanical unfolding manipulations. This task is accomplished via two…

Statistical Mechanics · Physics 2007-10-17 Alberto Imparato , Stefano Luccioli , Alessandro Torcini

The equilibrium free energy landscape of off-lattice model heteropolymers as a function of an internal coordinate, namely the end-to-end distance, is reconstructed from out-of-equilibrium steered molecular dynamics data. This task is…

Statistical Mechanics · Physics 2008-09-17 Stefano Luccioli , Alberto Imparato , Alessandro Torcini

Jarzynski's equality [1] allows us to investigate free energy landscapes (FELs) by constructing distributions of work performed on a system from an initial ensemble of states to final states. This work is experimentally measured by…

Biological Physics · Physics 2011-05-24 Van Ngo

We introduce a simple enhanced sampling approach for the calculation of free energy differences and barriers along a one-dimensional reaction coordinate. First, a small number of short nonequilibrium simulations are carried out along the…

Chemical Physics · Physics 2021-11-03 Kristof M. Bal

A main goal of single-molecule experiments is to evaluate equilibrium free energy differences by applying fluctuation relations to repeated work measurements along irreversible processes. We quantify the error that is made in a free energy…

Statistical Mechanics · Physics 2009-06-22 Alessandro Mossa , Sara de Lorenzo , Josep Maria Huguet , Felix Ritort

Single molecule pulling experiments provide information about interactions in biomolecules that cannot be obtained by any other method. However, the reconstruction of the molecule's free energy profile from the experimental data is still a…

Soft Condensed Matter · Physics 2009-11-10 Oliver Braun , Andreas Hanke , Udo Seifert

The mechanical unfolding of an engineered protein composed of eight domains of Ig27 is investigated by using atomic force microscopy. Exploiting a fluctuation relation, the equilibrium free energy as a function of the molecule elongation is…

Soft Condensed Matter · Physics 2008-05-29 A. Imparato , F. Sbrana , M. Vassalli

Application of Jarzynski nonequilibrium work relation to free energy calculation is limited by the very slow convergence of the estimate when dissipation is high. We present a novel perturbation protocol able to improve the convergence of…

Statistical Mechanics · Physics 2008-01-03 Ognjen Perisic , Hui Lu

A promising method for calculating free energy differences Delta F is to generate non-equilibrium data via ``fast-growth'' simulations or experiments -- and then use Jarzynski's equality. However, a difficulty with using Jarzynski's…

Computational Physics · Physics 2007-05-23 F. Marty Ytreberg , Daniel M. Zuckerman

We investigate the work dissipated during the irreversible unfolding of single molecules by mechanical force, using the simplest model necessary to represent experimental data. The model consists of two levels (folded and unfolded states)…

Biological Physics · Physics 2012-08-27 F. Ritort , C. Bustamante , I. Tinoco,

We perform, with the help of cloud computing resources, extensive Langevin simulations which provide free energy estimates for unbiased three dimensional polymer translocation. We employ the Jarzynski equality in its rigorous setting, to…

Statistical Mechanics · Physics 2015-06-18 Felipe Mondaini , Luca Moriconi

The Jarzynski equality (JE), which relates works of non-equilibrium trajectories to the free energy difference of the initial and final states of the non-equilibrium process, provides an efficient way to calculate free energies of systems…

Soft Condensed Matter · Physics 2016-04-20 Biao Wan , Cheng Yang , Yanting Wang , Xin Zhou

Recently, we presented a generalisation of the Jarzynski non-equilibrium work theorem for phase space mappings. The formalism shows that one can determine free energy differences from approximate trajectories obtained from molecular…

Statistical Mechanics · Physics 2009-11-13 Harald Oberhofer , Christoph Dellago , Stefan Boresch

The Jarzynski identity can be applied to instances when a microscopic system is pulled repeatedly but quickly along some coordinate, allowing the calculation of an equilibrium free energy profile along the pulling coordinate from a set of…

Statistical Mechanics · Physics 2015-06-11 Daun Jeong , Ioan Andricioaei

The Jarzynski Equality relates the free energy difference between two equilibrium states of a system to the average of the work over all irreversible paths to go from one state to the other. We claim that the derivation of this equality is…

Statistical Mechanics · Physics 2009-11-10 E. G. D. Cohen , David Mauzerall

The Jarzynski equality and the fluctuation theorem relate equilibrium free energy differences to non-equilibrium measurements of the work. These relations extend to single-molecule experiments that have probed the finite-time thermodynamics…

Statistical Mechanics · Physics 2008-08-30 Paul Maragakis , Felix Ritort , Carlos Bustamante , Martin Karplus , Gavin E. Crooks

A vast array of phenomena, ranging from chemical reactions to phase transformations, are analysed in terms of a free energy surface defined with respect to a single or multiple order parameters. Enhanced sampling methods are typically used,…

Statistical Mechanics · Physics 2023-04-26 Yagyik Goswami , Srikanth Sastry

Despite the strength of Molecular Dynamics simulations in providing insights into the microscopic details of phenomenon in many fields in materials science, physics and biology, the biggest barrier is its limited timescale which is several…

Materials Science · Physics 2026-05-19 Mahdi Tavakol , Jin-Chong Tan , Alexander M. Korsunsky

We present a method for determining the free energy of coexisting states from irreversible work measurements. Our approach is based on a fluctuation relation that is valid for dissipative transformations in partially equilibrated systems.…

Soft Condensed Matter · Physics 2009-02-21 Ivan Junier , Alessandro Mossa , Maria Manosas , Felix Ritort

Brownian dynamics simulations are used to study the detachment of a particle from a substrate. Although the model is simple and generic, we attempt to map its energy, length and time scales onto a specific experimental system, namely a bead…

Soft Condensed Matter · Physics 2021-01-08 Emma Hodges , B. M. Cooke , E. M. Sevick , Debra J. Searles , B. Duenweg , J. Ravi Prakash
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