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The large-deviation method allows to characterize an ergodic counting process in terms of a thermodynamic frame where a free energy function determines the asymptotic non-stationary statistical properties of its fluctuations. Here, we study…

统计力学 · 物理学 2011-12-13 Adrian A. Budini

We investigate the dynamical behavior of binary fluid systems in two dimensions using dissipative particle dynamics. We find that following a symmetric quench the domain size R(t) grows with time t according to two distinct algebraic laws…

comp-gas · 物理学 2009-10-28 Peter V. Coveney , Keir E. Novik

Thermodynamic phase transitions, a central concept in physics and chemistry, are typically controlled by an interplay of enthalpic and entropic contributions. In most cases, the estimation of the enthalpy in simulations is straightforward…

软凝聚态物质 · 物理学 2025-10-30 Yamin Ben-Shimon , Barak Hirshberg , Yohai Bar-Sinai

A two-dimensional lattice gas of two species, driven in opposite directions by an external force, undergoes a jamming transition if the filling fraction is sufficiently high. Using Monte Carlo simulations, we investigate the growth of these…

统计力学 · 物理学 2009-11-13 D. A. Adams , B. Schmittmann , R. K. P. Zia

Molecular dynamics simulations are performed for a supercooled simple liquid with changing the system size from N=108 to $10^4$ to examine possible finite-size effects. Although almost no systematic deviation is detected in the static pair…

软凝聚态物质 · 物理学 2007-05-23 Kang Kim , Ryoichi Yamamoto

We show that the Keller-Segel model in one dimension with Neumann boundary conditions and quadratic cellular diffusion has an intricate phase transition diagram depending on the chemosensitivity strength. Explicit computations allow us to…

偏微分方程分析 · 数学 2019-04-29 Jose A. Carrillo , Xinfu Chen , Qi Wang , Zhian Wang , Lu Zhang

The paper analyses stochastic systems describing reacting molecular systems with a combination of two types of state spaces, a finite-dimensional, and an infinite dimenional part. As a typical situation consider the interaction of larger…

生物大分子 · 定量生物学 2009-09-29 L. Sbano , M. Kirkilionis

We study changes in the chaotic properties of a many-body system undergoing a solid-fluid phase transition. To do this, we compute the temperature dependence of the largest Lyapunov exponents $\lambda_{max}$ for both two- and…

chao-dyn · 物理学 2016-08-31 Kyung-Hoon Kwon , Byung-Yoon Park

How condensed-matter simulations depend on the number of molecules being simulated ($N$) is sometimes itself a valuable piece of information. Liquid crystals provide a case in point. Light scattering and $2d$-IR experiments on…

软凝聚态物质 · 物理学 2024-12-20 Eleftherios Mainas , Richard M. Stratt

This work analyzes accelerating and decelerating wall-driven flows by quantifying the upper bound of transient energy growth using a Lyapunov-type approach. By formulating the linearized Navier-Stokes equations as a linear time-varying…

流体动力学 · 物理学 2026-03-16 Zhengyang Wei , Weichen Zhao , Chang Liu

Monolayer cluster growth in far-from-equilibrium systems is investigated by applying simulation and analytic techniques to minimal hard core particle (exclusion) models. The first model (I), for post-deposition coarsening dynamics, contains…

统计力学 · 物理学 2009-11-10 F. D. A. Aarao Reis , R. B. Stinchcombe

Accurate calculations of solvation free energies remain a central challenge in molecular simulations, often requiring extensive sampling and numerous alchemical intermediates to ensure sufficient overlap between phase-space distributions of…

统计力学 · 物理学 2026-04-02 Maximilian Schebek , Nikolas M. Froböse , Bettina G. Keller , Jutta Rogal

We discuss the growth process of a crystalline phase out of a metastable over-compressed liquid that is brought into contact with a crystalline substrate. The process is modeled by means of molecular dynamics. The particles interact via the…

软凝聚态物质 · 物理学 2014-08-07 Francesco Turci , Tanja Schilling

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…

统计力学 · 物理学 2018-08-08 Dino Risso , Rodrigo Soto , Marcelo Guzman

A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be…

计算工程、金融与科学 · 计算机科学 2020-08-26 Mojtaba Barzegari , Liesbet Geris

We study the motion of a one-dimensional particle which reverses its direction of acceleration stochastically. We focus on two contrasting scenarios, where the waiting-times between two consecutive acceleration reversals are drawn from (i)…

统计力学 · 物理学 2023-08-22 Ion Santra , Durgesh Ajgaonkar , Urna Basu

We develop a description of diffusion limited growth in solid-solid transformations, which are strongly influenced by elastic effects. Density differences and structural transformations provoke stresses at interfaces, which affect the phase…

材料科学 · 物理学 2008-11-18 M. Fleck , C. Hueter , D. Pilipenko , R. Spatschek , E. A. Brener

The problem of bound states in delta potentials is revisited by means of Fourier transform approach. The problem in a simple delta potential sums up to solve an algebraic equation of degree one for the Fourier transform of the eigenfunction…

数学物理 · 物理学 2012-10-02 A. S. de Castro

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…

生物物理 · 物理学 2011-05-24 Van Ngo

A computer simulation has to be fast to be helpful, if it is employed to study the behavior of a multicomponent dynamic system. This paper discusses modeling concepts and algorithmic techniques useful for creating such fast simulations.…

数据结构与算法 · 计算机科学 2007-05-23 Boris D. Lubachevsky