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In this work, I propose a statistical mechanical framework, for the evaluation of the free energy in molecular systems, by "deleting" all the molecules in a "single" step. The approach can be considered as the statistical mechanics…

Statistical Mechanics · Physics 2011-08-16 Georgios C. Boulougouris

This paper presents an extended coarse-grained investigation of the elastic properties of polystyrene. In particular, we employ the well-known MARTINI force field and its modifications to perform extended molecular dynamics simulations at…

Computational Physics · Physics 2020-01-08 Yaroslav Beltukov , Igor Gula , Alexander M. Samsonov , Ilia A. Solov'yov

Glasses exhibit spatially inhomogeneous elastic properties, which can be investigated by measuring their elastic moduli at a local scale. Various methods to evaluate the local elastic modulus have been proposed in the literature. A first…

Soft Condensed Matter · Physics 2013-05-02 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat

We present a methodology for accelerating the estimation of the free energy from path integral Monte Carlo simulations by considering an intermediate artificial reference system where interactions are inexpensive to evaluate numerically.…

Excess contributions to the free energy due to interfaces occur for many problems encountered in the statistical physics of condensed matter when coexistence between different phases is possible (e.g. wetting phenomena, nucleation, crystal…

Statistical Mechanics · Physics 2015-05-27 Kurt Binder , Benjamin Block , Subir K. Das , Peter Virnau , David Winter

This work studies the dynamics of a one dimensional elastic bar with random elastic modulus and prescribed boundary conditions, say, fixed at one end, and attached to a lumped mass and two springs (one linear and another nonlinear) on the…

Dynamical Systems · Mathematics 2021-07-28 Americo Cunha , Rubens Sampaio

Simple models for spherical particles with a soft shell have been shown to self-assemble into numerous crystal phases and even quasicrystals. However, most of these models rely on a simple pairwise interaction, which is usually a valid…

Soft Condensed Matter · Physics 2020-09-03 Emanuele Boattini , Nina Bezem , Sudeep N. Punnathanam , Frank Smallenburg , Laura Filion

We present Monte Carlo simulations of an ultra coarse-grained lipid bilayer with different number of lipids on both leaflets. In the simulations, we employ a new method for measuring the elastic parameters of the membrane, including the…

Soft Condensed Matter · Physics 2025-05-20 Oded Farago

We present a new and efficient method for computing the transition pathways, free energy barriers, and transition rates in complex systems with relatively smooth energy landscapes. The method proceeds by evolving strings, i.e. smooth curves…

Condensed Matter · Physics 2009-11-07 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

Modeling the intermittent behavior of turbulent energy dissipation processes both in space and time is often a relevant problem when dealing with phenomena occurring in high Reynolds number flows, especially in astrophysical and space…

Chaotic Dynamics · Physics 2007-05-23 Fabio Lepreti , Vincenzo Carbone , Pierluigi Veltri

According to the Jarzynski theorem, equilibrium free energy differences can be calculated from the statistics of work carried out during non-equilibrium transformations. Although exact, this approach can be plagued by large statistical…

Statistical Mechanics · Physics 2007-05-23 Wolfgang Lechner , Christoph Dellago

The mechanics of a foam typically depends on the bubble geometry, topology, and the material at hand, be it metallic or polymeric, for example. While the foam energy functional for each bubble is typically minimization of surface area for a…

Soft Condensed Matter · Physics 2023-08-25 Kyungeun Kim , Tao Zhang , J. M. Schwarz

A linear dynamical model for the development of the turbulent energy cascade was introduced in Apolin\'ario \emph{et al} (J. Stat. Phys. \textbf{186}, 15 (2022)). This partial differential equation, randomly stirred by a forcing term which…

Fluid Dynamics · Physics 2022-04-26 Gabriel B. Apolinário , Laurent Chevillard

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are…

Strongly Correlated Electrons · Physics 2023-03-29 Sam Azadi , N. D. Drummond , S. M. Vinko

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

X-ray observations of galaxy clusters provide insights on the nature of gaseous turbulent motions, their physical scales and on the fundamental processes they are related to. Spatially-resolved, high-resolution spectral measurements of…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-25 N. Clerc , E. Cucchetti , E. Pointecouteau , P. Peille

The energy of an elastic manifold in a random landscape at T=0 is shown numerically to obey a probability distribution that depends on size of the box it is put into. If the extent of the spatial fluctuations of the manifold is much less…

Disordered Systems and Neural Networks · Physics 2009-11-10 K. P. J. Kytölä , E. T. Seppälä , M. J. Alava

We investigate sample-to-sample fluctuations of the shear modulus in ensembles of particle packings near the jamming transition. Unlike the average modulus, which exhibits distinct scaling behaviours depending on the interparticle…

Soft Condensed Matter · Physics 2026-03-06 Kumpei Shiraishi , Hideyuki Mizuno

We study the statistics of the dissipated energy in the two-dimensional random fuse model for fracture under different imposed strain conditions. By means of extensive numerical simulations we compare different ways to compute the…

Statistical Mechanics · Physics 2009-11-13 Clara B. Picallo , Juan M. Lopez

This paper introduces an axiomatic basis for measuring the energy characteristic of vibrating dynamical systems. The basic approach is to compare non-modulated vs. modulated waveforms in measuring energy during the vibratory motion $m(t)$…

General Physics · Physics 2024-10-30 Enze Cui , James F. Peters