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This paper investigates the asymptotic behavior of the Helmholtz free energy of mixtures at small compressibility. We start from a general representation for the local free energy that is valid in stable subregions of the phase diagram. On…

数学物理 · 物理学 2021-04-20 Dieter Bothe , Wolfgang Dreyer , Pierre-Etienne Druet

New methods are presented which enables one to analyze the thermodynamics of systems with long-range interactions. Generically, such systems have entropies which are non-extensive, (do not scale with the size of the system). We show how to…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Jonathan Oppenheim

The energetic properties of nuclear clusters inside a low-density, finite-temperature medium are studied with a Lattice Gas Model including isospin dependence and Coulomb forces. Important deviations are observed respect to the Fisher…

核理论 · 物理学 2009-06-16 G. Lehaut , F. Gulminelli , O. Lopez

By means of contact-density chain-growth simulations, we investigate a simple lattice model of a flexible polymer interacting with an attractive substrate. The contact density is a function of the numbers of monomer-substrate and…

统计力学 · 物理学 2011-07-04 Michael Bachmann

Adding plasticizers is a well-known procedure to reduce the glass transition temperature in polymers. It has been recently shown that this effect shows a non-monotonic dependence on the size of additive molecules [The Journal of Chemical…

软凝聚态物质 · 物理学 2020-06-24 Elias M. Zirdehi , Thomas Voigtmann , Fathollah Varnik

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

统计力学 · 物理学 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

One of the most surprising results is to find that a consistent description of all the experimental results on particle multiplicities and particle ratios obtained from the lowest AGS to the highest RHIC energies is possible within the…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Mishra , C. P. Singh

This paper provides an introduction to some stochastic models of lattice gases out of equilibrium and a discussion of results of various kinds obtained in recent years. Although these models are different in their microscopic features, a…

统计力学 · 物理学 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona--Lasinio , C. Landim

We study the partition functions associated with non-intersecting polymers in a random environment. By considering paths in series and in parallel, the partition functions carry natural notions of subadditivity, allowing the effective study…

概率论 · 数学 2021-03-30 Samuel G. G. Johnston , Neil O'Connell

A simple analytic theory for mixtures of hard spheres and larger polymers with excluded volume interactions is developed. The mixture is shown to exhibit extensive immiscibility. For large polymers with strong excluded volume interactions,…

软凝聚态物质 · 物理学 2009-11-07 Richard P. Sear

Completely open systems can exchange heat, work, and matter with the environment. While energy, volume, and number of particles fluctuate under completely open conditions, the equilibrium states of the system, if they exist, can be…

统计力学 · 物理学 2017-01-25 Ivan Latella , Agustín Pérez-Madrid , Alessandro Campa , Lapo Casetti , Stefano Ruffo

Despite the long-recognized fact that chemical structure and specific interactions greatly influence the thermodynamic properties of polymer systems, a predictive molecular theory that enables systematically addressing the role of chemical…

软凝聚态物质 · 物理学 2015-06-22 Wen-Sheng Xu , Karl F. Freed

We analyze diffusion of small particles in a solid polymeric medium taking into account a short range particle-polymer interaction. The system is modeled by a particle diffusion on a ternary lattice where the sites occupied by polymer…

统计力学 · 物理学 2015-06-11 Federico Camboni , Andreas Koher , Igor M. Sokolov

We establish the equivalence of a recently introduced discrete model of the hydrophobic interaction, as well as its extension to continuous state variables, with the Ising model in a magnetic field with temperature-dependent strength. In…

统计力学 · 物理学 2016-08-15 G. M. Schütz , I. Ispolatov , G. T. Barkema , B. Widom

Polymer networks formed by cross linking flexible polymer chains are ubiquitous in many natural and synthetic soft-matter systems. Current micromechanics models generally do not account for excluded volume interactions except, for instance,…

软凝聚态物质 · 物理学 2023-06-05 Pratik Khandagale , Timothy Breitzman , Carmel Majidi , Kaushik Dayal

We study the global influence of curvature on the free energy landscape of two-dimensional binary mixtures confined on closed surfaces. Starting from a generic effective free energy, constructed on the basis of symmetry considerations and…

软凝聚态物质 · 物理学 2019-09-11 Piermarco Fonda , Melissa Rinaldin , Daniela J. Kraft , Luca Giomi

The isothermal compressibility of an interacting or non interacting system may be extracted from the fluctuations of the number of particles in a well chosen control volume. Finite size effects are prevalent and should then be accounted for…

统计力学 · 物理学 2015-06-18 Dario Villamaina , Emmanuel Trizac

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

软凝聚态物质 · 物理学 2015-06-16 Wen-Sheng Xu , Karl F. Freed

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

流体动力学 · 物理学 2016-04-01 Dieter Bothe , Wolfgang Dreyer

The paper contains a development of the previously proposed generalized lattice model (GLM). In contrast to usual lattice models, the difference of the specific atomic volumes of the components is taken in account in GLM. In addition to…

统计力学 · 物理学 2010-03-16 A. Yu. Zakharov , A. A. Schneider , A. L. Udovsky
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