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We present a brief review of the classical density functional theory of atomic and molecular fluids. We focus on the application of the theory to the determination of the solvation properties of arbitrary molecular solutes in arbitrary…

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

统计力学 · 物理学 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

We introduce static and dynamic correlation functions for the spatial densities of Lyapunov vector fluctuations. They enable us to show, for the first time, the existence of hydrodynamic Lyapunov modes in chaotic many-particle systems with…

混沌动力学 · 物理学 2007-05-23 Günter Radons , Hongliu Yang

Because of consuming energy to drive their motion, systems of active colloids are intrinsically out of equilibrium. In the past decade, a variety of intriguing dynamic patterns have been observed in systems of active colloids, and they…

软凝聚态物质 · 物理学 2020-04-16 Zhan Ma , Mingcheng Yang , Ran Ni

We develop a dynamical systems theory for the compressible Navier-Stokes equations based on global in time weak solutions. The following questions will be addressed: Global existence and critical values of the adiabatic constant;…

动力系统 · 数学 2007-05-23 Eduard Feireisl

The dynamics of membrane undulations inside a viscous solvent is governed by distinctive, anomalous, power laws. Inside a viscoelastic continuous medium these universal behaviors are modified by the specific bulk viscoelastic spectrum. Yet,…

软凝聚态物质 · 物理学 2018-02-20 Rony Granek , Haim Diamant

The structure formation in the local Universe is considered within the weak-field modification of General Relativity involving the cosmological constant. This approach enables to describe the dynamics of groups and clusters of galaxies, to…

广义相对论与量子宇宙学 · 物理学 2025-02-06 V. G. Gurzadyan

The dynamic structure factor of a harmonically trapped Bose gas has been calculated well above the Bose-Einstein condensation temperature by treating the gas cloud as a canonical ensemble of noninteracting classical particles. The static…

量子气体 · 物理学 2015-05-14 Jai Carol Cruz , C. N. Kumar , K. N. Pathak , J. Bosse

A rich variety of non-equilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in…

量子物理 · 物理学 2025-08-26 E. A. Maletskii , I. A. Iakovlev , V. V. Mazurenko

Using tools from computable analysis we develop a notion of effectiveness for general dynamical systems as those group actions on arbitrary spaces that contain a computable representative in their topological conjugacy class. Most natural…

动力系统 · 数学 2024-09-16 Sebastián Barbieri , Nicanor Carrasco-Vargas , Cristóbal Rojas

The possibility is discussed of inferring or simulating some aspects of quantum dynamics by adding classical statistical fluctuations to classical mechanics. We introduce a general principle of mechanical stability and derive a necessary…

量子物理 · 物理学 2015-06-26 Salvatore De Martino , Silvio De Siena , Fabrizio Illuminati

We conceive finite automata as dynamical systems on discontinuum and investigate their factors. Factors of finite automata include many well-known simple dynamical systems, e.g. hyperbolic systems and systems with finite attractors. In the…

chao-dyn · 物理学 2008-02-03 Petr Kurka

We investigate the dynamic structure factor of a system of Bose particles at zero temperature using quantum Monte Carlo methods. Interactions are modeled using a hard-sphere potential of size $a$ and simulations are performed for values of…

量子气体 · 物理学 2015-06-17 Riccardo Rota , Filippo Tramonto , Davide Emilio Galli , Stefano Giorgini

Diffusive molecular dynamics is a novel model for materials with atomistic resolution that can reach diffusive time scales. The main ideas of diffusive molecular dynamics are to first minimize an approximate variational Gaussian free energy…

数值分析 · 数学 2015-06-09 Gideon Simpson , Mitchell Luskin , David J. Srolovitz

We show that the kinetic-theoretical self-diffusion coefficient of an atomic fluid plays the same role as the short-time self-diffusion coefficient D_S in a colloidal liquid, in the sense that the dynamic properties of the former, at times…

A general theory of nucleation for colloids and macromolecules in solution is formulated within the context of fluctuating hydrodynamics. A formalism for the determination of nucleation pathways is developed and stochastic differential…

软凝聚态物质 · 物理学 2012-01-23 James F. Lutsko

Real numbers provide a sufficient description of classical physics and all measurable phenomena; however, complex numbers are occasionally utilized as a convenient mathematical tool to aid our calculations. On the other hand, the formalism…

量子物理 · 物理学 2023-09-01 Matthew Albert , Xiaoyi Bao , Liang Chen

In this review, we present some fundamental classical and quantum phenomena in view of time fractional formalism. Time fractional formalism is a very useful tool in describing systems with memory and delay. We hope that this study can…

综合物理 · 物理学 2012-03-27 Hosein Nasrolahpour

A perfect fluid is quantized by the canonical method. The constraints are found and this allows the Dirac brackets to be calculated. Replacing the Dirac brackets with quantum commutators formally quantizes the system. There is a momentum…

广义相对论与量子宇宙学 · 物理学 2011-04-04 Mark D. Roberts

We discuss the dynamics of finite systems within molecular dynamics models. Signatures of a critical behavior are analyzed and compared to experimental data both in nucleus-nucleus and metallic cluster collisions. We suggest the possibility…

核理论 · 物理学 2017-08-23 A. Bonasera , T. Maruyama , S. Chiba