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The Boltzmann factor comes from the linear change in entropy of an infinite heat bath during a local fluctuation; small systems have significant nonlinear terms. We present theoretical arguments, experimental data, and Monte-Carlo…

Statistical Mechanics · Physics 2009-10-23 Ralph V. Chamberlin , Josh V. Vermaas , George H. Wolf

The process of homogeneous crystal nucleation has been considered in a model liquid, where the interparticle interaction is described by a short-range spherical oscillatory potential. Mechanisms of initiating structural ordering in the…

Materials Science · Physics 2018-12-18 Bulat N. Galimzyanov , Dinar T. Yarullin , Anatolii V. Mokshin

We here discuss the results of 3d MonteCarlo simulations of a minimal lattice model for gelling systems. We focus on the dynamics, investigated by means of the time autocorrelation function of the density fluctuations and the particle mean…

Soft Condensed Matter · Physics 2007-05-23 E. Del Gado , A. Fierro , L. de Arcangelis , A. Coniglio

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…

Soft Condensed Matter · Physics 2025-10-30 Yamin Ben-Shimon , Barak Hirshberg , Yohai Bar-Sinai

Cycling of a metallic glass between ambient and cryogenic temperatures can induce higher-energy states characteristic of glass formation on faster cooling. This rejuvenation, unexpected because it occurs at small macroscopic strains and…

Disordered Systems and Neural Networks · Physics 2022-09-22 Baoshuang Shang , Weihua Wang , Alan Lindsay Greer , Pengfei Guan

Modeling phase change problems numerically is vital for understanding many natural (e.g., ice formation, steam generation) and engineering processes (e.g., casting, welding, additive manufacturing). Almost all phase change materials (PCMs)…

Fluid Dynamics · Physics 2023-09-18 Ramakrishnan Thirumalaisamy , Amneet Pal Singh Bhalla

A molecular dynamics study of a two dimensional system of particles interacting through a Lennard-Jones pairwise potential is performed at fixed temperature and vanishing external pressure. As the temperature is increased, a solid-to-liquid…

Statistical Mechanics · Physics 2015-05-27 Daniel Asenjo , Fernando Lund , Simón Poblete , Rodrigo Soto , Marcos Sotomayor

We consider a system of two Brownian particles (say A and B), coupled to each other via harmonic potential of stiffness constant $k$. Particle-A is connected to two heat baths of constant temperatures $T_1$ and $T_2$, and particle-B is…

Statistical Mechanics · Physics 2018-07-04 Deepak Gupta , Sanjib Sabhapandit

Melting and solidification processes are often affected by natural convection of the liquid, posing a multi-physics problem involving fluid flow, convective and diffusive heat transfer, and phase-change reactions. Enthalpy methods formulate…

Computational Physics · Physics 2020-09-08 Alexander Gary Zimmerman , Julia Kowalski

In this paper we present a modeling approach to bridge the atomistic with macroscopic scales in crystalline materials. The methodology combines identification and modeling of the controlling unit processes at microscopic level with the…

Materials Science · Physics 2009-11-07 A. M. Cuitino , L. Stainier , G. Wang , A. Strachan , T. Cagin , W. A. Goddard , M. Ortiz

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

Statistical Mechanics · Physics 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

Statistical Mechanics · Physics 2019-06-11 Y. Mishin

Approaching the problem of understanding fundamental physical constants (FPCs) started with discussing the role these constants play in high-energy nuclear physics and astrophysics. Condensed matter physics was relatively unexplored in this…

Statistical Mechanics · Physics 2025-03-05 K. Trachenko

Crystallization, a prototypical self-organization process during which a disordered state spontaneously transforms into a crystal characterized by a regular arrangement of its building blocks, usually proceeds by nucleation and growth. In…

Computational Physics · Physics 2017-10-06 Swetlana Jungblut , Christoph Dellago

A funnel transformation is introduced, which acts recursively from higher towards lower temperatures. It biases the a-priori probabilities of a canonical or generalized ensemble Metropolis simulation, so that they zoom in on the global…

Soft Condensed Matter · Physics 2009-11-07 Bernd A. Berg

We combine population annealing Monte Carlo and several thermodynamic integration techniques to measure equilibrium vibrational and configurational entropies in the metastable fluid regime beyond the dynamic glass transition. We obtain…

Statistical Mechanics · Physics 2021-04-08 Christopher Amey , Jonathan Machta

Phase transitions in nuclei, small atomic clusters and self-gravitating systems demand the extension of thermo-statistics to ``Small'' systems. The main obstacle is the thermodynamic limit. It is shown how the original definition of the…

Statistical Mechanics · Physics 2017-08-23 D. H. E. Gross

Dominating finite-range interactions in many-body systems can lead to intriguing self-ordered phases of matter. Well known examples are crystalline solids or Coulomb crystals in ion traps. In those systems, crystallization proceeds via a…

We discuss the crystallization process from the supersaturated melt in terms of its non-equilibrium properties. In particular, we quantify the amount of heat that is produced irreversibly when a suspension of hard spheres crystallizes. This…

Statistical Mechanics · Physics 2015-04-17 Sven Dorosz , Thomas Voigtmann , Tanja Schilling

We consider homogeneous crystallisation rates in confocal microscopy experiments on colloidal nearly hard spheres at the single particle level. These we compare with Brownian dynamics simuations by carefully modelling the softness in the…

Soft Condensed Matter · Physics 2017-12-27 Jade Taffs , Stephen R. Williams , Hajime Tanaka , C. Patrick Royall