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We describe the thermodynamic state of a single-phase fluid confined to a porous medium with Hill's thermodynamics of small systems, also known as nanothermodynamics. This way of defining small system thermodynamics, with a separate set of…

Chemical Physics · Physics 2022-02-01 Olav Galteland , Michael T. Rauter , Kevin K. Varughese , Dick Bedeaux , Signe Kjelstrup

Nanothermodynamics is the thermodynamics of small systems, which are signifcantly affected by their surrounding environments. In nanothermodynamics, Hill introduced the concept of subdivision potential, which charaterizes the…

Statistical Mechanics · Physics 2021-12-03 Yu Su , Zi-Fan Zhu , Hong Gong , Yao Wang , Rui-Xue Xu , YiJing Yan

Nanothermodynamics extends standard thermodynamics to facilitate finite-size effects on the scale of nanometers. A key ingredient is Hill's subdivision potential that accommodates the non-extensive energy of independent small systems,…

Statistical Mechanics · Physics 2015-04-21 Ralph V. Chamberlin

A simple Lennard-Jones fluid confined in a slit nanopore with hard walls is studied on the basis of a multilayer structured model. Each layer is homogeneous and parallel to the walls of the pore. The Helmholtz energy of this system is…

Mesoscale and Nanoscale Physics · Physics 2010-03-17 G. J. Zarragoicoechea , A. G. Meyra , V. A. Kuz

In a 2023 Nature Communication, Dong claims that a disjoining chemical potential should be used instead of "Hill's nanothermodynamics" because Hill's subdivision potential "remains elusive to relate...to any experimental observables." Here,…

Statistical Mechanics · Physics 2024-01-05 Ralph V. Chamberlin

Non-equilibrium molecular dynamics (NEMD) simulations of fluid flow have highlighted the peculiarities of nanoscale flows compared to classical fluid mechanics; in particular, boundary conditions can deviate from the no-slip behavior at…

Soft Condensed Matter · Physics 2025-03-11 Giorgia Marcelli , Tecla Bottinelli Montandon , Roya Ebrahimi Viand , Felix Höfling

Nanoconfinement can drastically change the behavior of liquids, puzzling us with counterintuitive properties. Moreover, it is relevant in applications, including decontamination and crystallization control. It still lacks a systematic…

Soft Condensed Matter · Physics 2022-07-01 Fabio Leoni , Carles Calero , Giancarlo Franzese

In the field of nanoconfined fluids, there are striking examples of deformation/transport coupling in which mechanical solicitation of the confining host and dynamics of the confined fluid impact each other. While this intriguing behavior…

Computational Physics · Physics 2024-04-01 Alexander Schlaich , Matthieu Vandamme , Marie Plazanet , Benoit Coasne

Using a simple example of biological macromolecules which are partitioned between bulk solution and membrane, we investigate T.L. Hill's phenomenological nanothermodynamics for small systems. By introducing a {\em systems size dependent}…

Biological Physics · Physics 2012-04-24 Hong Qian

We define the pressure of a porous medium in terms of the grand potential, and compute its value in a nano-confined or nano-porous medium, meaning a medium where thermodynamic equations need be adjusted for smallness. On the nano-scale, the…

Computational Physics · Physics 2020-12-03 Olav Galteland , Dick Bedeaux , Signe Kjelstrup

In this work, a new algorithm is proposed to compute single particle (infinite dilution) thermodiffusion using Non-Equilibrium Molecular Dynamics simulations through the estimation of the thermophoretic force that applies on a solute…

Statistical Mechanics · Physics 2009-11-13 Guillaume Galliéro , S. Volz

A few decades after Hill's work on nano-thermodynamics, the development of a thermodynamic framework, to account consistently for the fluctuations of small systems due to their interactions with the surrounding environment, is still…

Statistical Mechanics · Physics 2019-09-23 Salvatore Calabrese , Lamberto Rondoni , Amilcare Porporato

Hydrodynamics is known to have strong effects on the kinetics of phase separation. There exist open questions on how such effects manifest in systems under confinement. Here, we have undertaken extensive studies of the kinetics of phase…

Soft Condensed Matter · Physics 2025-11-03 Saikat Basu , Suman Majumder , Raja Paul , Subir K. Das

We analyze thermodynamics of water samples confined in nanopores and prove that although the freezing temperature can be dramatically lower, the suppression of the ice nucleation leading to the freezing temperature depression is a truly…

Soft Condensed Matter · Physics 2012-06-18 P. O. Fedichev , L. I. Menshikov

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith

Continuum simulation is employed to study ion transport and fluid flow through a nanopore in a solid-state membrane under an applied potential drop. Results show the existence of concentration polarization layers on the surfaces of the…

Fluid Dynamics · Physics 2015-06-16 Mao Mao , Sandip Ghosal , Guohui Hu

Confinement influences fluid properties. We show, employing molecular dynamics simulations with explicit solvents, that slit confinement drives a first-order transition for a small nanoparticle between staying at the slit center and binding…

Soft Condensed Matter · Physics 2026-02-10 Jeongmin Kim , Bong June Sung

We study the heat transfer between two nanoparticles held at different temperatures that interact through nonreciprocal forces, by combining molecular dynamics simulations with stochastic thermodynamics. Our simulations reveal that it is…

Statistical Mechanics · Physics 2022-12-16 Sarah A. M. Loos , Saeed Arabha , Ali Rajabpour , Ali Hassanali , Edgar Roldan

We use numerical simulations to compute the equation of state of a suspension of spherical, self-propelled nanoparticles. We study in detail the effect of excluded volume interactions and confinement as a function of the system temperature,…

Soft Condensed Matter · Physics 2014-05-12 S. A. Mallory , A. Šarić , C. Valeriani , A. Cacciuto

We have explored the phase behavior of a set of water-like models in slit pores of nanoscopic dimensions. The interaction between water and pore walls mimics the graphite surface. A version of density functional method is used as…

Soft Condensed Matter · Physics 2021-10-12 O. Pizio , S. Sokolowski , V. M. Trejos
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