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An idea to analyze the fluctuational mode or/and spectrum of water molecules in an inhomogeneous environment around a biomolecule such as protein and DNA is proposed based on the generalized Langevin equation (GLE) for water interacting…

统计力学 · 物理学 2022-07-18 Fumio Hirata

The generalized Langevin mode analysis (GLMA) is applied to chemical reactions in biomolecules in solution. The theory sees a chemical reaction in solution as a barrier crossing process, similar to the Marcus theory. The barrier is defined…

化学物理 · 物理学 2023-04-26 Fumio Hirata

A new statistical mechanics formulation of characterizing the structural fluctuation of protein correlated with that of water is presented based on the generalized Langevin equation and the 3D-RISM/RISM theory of molecular liquids. The…

统计力学 · 物理学 2015-06-11 Bongsoo Kim , Fumio Hirata

Langevin equations or generalized Langevin equations (GLEs) are popular models for describing the motion of a particle in a fluid medium in an effective manner. Here we examine particles immersed in an inherently nonequilibrium fluid, i.e.,…

软凝聚态物质 · 物理学 2024-05-03 Jeanine Shea , Gerhard Jung , Friederike Schmid

The Generalised Langevin Equation (GLE) method, as developed in Ref. [Phys. Rev. B 89, 134303 (2014)], is used to calculate the dissipative dynamics of systems described at the atomic level. The GLE scheme goes beyond the commonly used…

统计力学 · 物理学 2015-01-06 H. Ness , L. Stella , C. D. Lorenz , L. Kantorovich

The Brusselator model are used for the study of the intrinsic fluctuations of chemical reactions with different approaches. The equilibrium states of systems are assumed to be spirally stable in mean-field description, and two statistical…

化学物理 · 物理学 2019-02-22 Hong-Yuan Xu , Yu-Pin Luo , Ming-Chang Huang

Dielectric measurements on molecular liquids just above the glass transition indicate that alpha relaxation is characterized by a generic high-frequency loss varying as $\omega^{-1/2}$, whereas deviations from this come from one or more…

软凝聚态物质 · 物理学 2009-11-11 Jeppe C. Dyre

A linearised kinetic equation describing electrostatic perturbations of a Maxwellian equilibrium in a weakly collisional plasma forced by a random source is considered. The problem is treated as a kinetic analogue of the Langevin equation…

等离子体物理 · 物理学 2019-02-20 A. Kanekar , A. A. Schekochihin , W. Dorland , N. F. Loureiro

Generalized Hydrodynamics (GHD) has recently been devised as a method to solve the dynamics of integrable quantum many-body systems beyond the mean-field approximation. In its original form, a major limitation is the inability to predict…

We show the existence of intermittent dynamics in one of the simplest model of a glassy system: the two-state model, which has been used to explain the origin of the violation of the fluctuation-dissipation theorem. The dynamics is analyzed…

统计力学 · 物理学 2009-11-10 M. Naspreda , D. Reguera , A. Perez-Madrid , J. M. Rubi

We present a comparative study on two theoretical descriptions of microrheological experiments. Using a generalized Langevin equation (GLE), we analyze the origin of the power-law behavior of the main properties of a viscoelastic medium.…

统计力学 · 物理学 2009-11-13 I. Santamaria-Holek

We propose a novel approach based on a Langevin equation for fluctuating motion of the center of mass of granular media fluidized by energy injection from a bottom plate. In this framework, the analytical solution of the Langevin equation…

统计力学 · 物理学 2015-05-18 Jun'ichi Wakou , Masaharu Isobe

The Generalized Elastic Model is a linear stochastic model which accounts for the behaviour of many physical systems in nature, ranging from polymeric chains to single-file systems. If an external perturbation is exerted \emph{only} on a…

统计力学 · 物理学 2013-05-14 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

The Generalized Langevin Equation (GLE) can be derived from a particle-bath Hamiltonian, in both classical and quantum dynamics, and provides a route to the (both Markovian and non-Markovian) fluctuation-dissipation theorem (FDT). All…

统计力学 · 物理学 2018-07-04 Bingyu Cui , Alessio Zaccone

The Generalized Langevin Equation (GLE) is a Stochastic Integro-Differential Equation that is commonly used to describe the velocity of microparticles that move randomly in viscoelastic fluids. Such particles commonly exhibit what is known…

概率论 · 数学 2017-11-03 Scott A McKinley , Hung D Nguyen

Single molecule Raman spectroscopy provides information on individual molecules with vibrational-level resolution. The unique mechanisms leading to the huge Raman cross-section enhancement necessary for single molecule sensitivity are under…

材料科学 · 物理学 2007-05-23 Gilad Haran

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for…

软凝聚态物质 · 物理学 2024-01-25 Alessandro Taloni

Starting from a generalized elastic model which accounts for the stochastic motion of several physical systems such as membranes, (semi)flexible polymers and fluctuating interfaces among others, we derive the fractional Langevin equation…

统计力学 · 物理学 2012-03-16 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

Bistable systems present two degenerate metastable configurations separated by an energy barrier. Thermal or quantum fluctuations can promote the transition between the configurations at a rate which depends on the dynamical properties of…

统计力学 · 物理学 2018-07-23 L. Stella , H. Ness , C. D. Lorenz , L. Kantorovich

We report a hybrid numerical method for the solution of the model H fluctuating hydrodynamic equations for binary mixtures. The momentum conservation equations with Landau-Lifshitz stresses are solved using the fluctuating lattice Boltzmann…

统计力学 · 物理学 2011-10-27 P. T. Sumesh , Ignacio Pagonabarraga , Ronojoy Adhikari
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