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Phase transitions, sharp in the thermodynamic limit, get smeared in finite systems where macroscopic order-parameter fluctuations dominate. Achieving a coherent and complete theoretical description of these fluctuations is a central…

Statistical Mechanics · Physics 2025-10-06 Rupak Majumder , Julien Barré , Shamik Gupta

The influence of finite size effects, choice of statistical ensemble and contribution of the forces in numerical simulations using the dissipative particle dynamics (DPD) model are revisited here. Finite size effects in stress anisotropy,…

Soft Condensed Matter · Physics 2016-12-08 Miguel Ángel Balderas Altamirano , Elías Pérez , Armando Gama Goicochea

Droplet vaporization has a great impact on combustion of liquid fuels and might greatly affects the engine performance. Physical understanding and theoretical interpretation of the droplet vaporization behavior are decisive to constitute…

Fluid Dynamics · Physics 2020-06-30 Dehai Yu , Zheng Chen

We consider an interacting particle system in continuous configuration space. The pair interaction has an attractive part. We show that, at low density, the system behaves approximately like an ideal mixture of clusters (droplets): we prove…

Mathematical Physics · Physics 2012-06-25 S. Jansen , W. König

The atomisation of suspension containing liquid and dispersed particles is prevalent in many applications. Previous studies of droplet breakup mainly focused on homogeneous fluids, and the heterogeneous effect of particles on the breakup…

Fluid Dynamics · Physics 2024-03-19 Zhikun Xu , Tianyou Wang , Zhizhao Che

We study the liquid-vapor phase behaviour of a polydisperse fluid using grand canonical simulations and moment free energy calculations. The strongly nonlinear variation of the fractional volume of liquid across the coexistence region…

Statistical Mechanics · Physics 2009-11-11 Nigel B. Wilding , Peter Sollich , Moreno Fasolo

This work presents a novel, dimensionless model that results in a dimensionless algebraic equation that can be used to quantify the pressure drop associated with the steady state, isothermal flow through a straight, horizontal pipeline, of…

Fluid Dynamics · Physics 2024-10-29 Jeremy Conner , Vasilios I. Manousiouthakis

Via a combination of molecular dynamics (MD) simulations and finite-size scaling (FSS) analysis, we study dynamic critical phenomena for the vapor-liquid transition in a three dimensional Lennard-Jones system. The phase behavior of the…

Statistical Mechanics · Physics 2017-08-18 Jiarul Midya , Subir K. Das

In the first experimental realization of dilute Bose-Bose liquid drops using two hyperfine states of $^{39}$K some discrepancies between theory and experiment were observed. The standard analysis of the data using the Lee-Huang-Yang beyond…

Quantum Gases · Physics 2020-06-24 Viktor Cikojević , Leandra Vranješ Markić , Jordi Boronat

The continuum model related to the Winterbottom problem, i.e., the problem of determining the equilibrium shape of crystalline drops resting on a substrate, is derived in dimension two by means of a rigorous discrete-to-continuum passage by…

Analysis of PDEs · Mathematics 2020-10-20 Paolo Piovano , Igor Velčić

Results for the kinetics of vapor-liquid transitions, following temperature quenches with different densities, are presented from the molecular dynamics simulations of a Lennard-Jones system. For critical density, bicontinuous liquid and…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , Subir K. Das

Contrary to field theoretical calculations in the thermodynamic limit where the volume is assumed to be infinitely large, the heavy-ion collisions always carry the effects of finite size. A sufficiently small system size is expected to…

High Energy Physics - Phenomenology · Physics 2023-08-24 Győző Kovács , Péter Kovács , Pok Man Lo , Krzysztof Redlich , György Wolf

The dynamics of particles in turbulence when the particle-size is larger than the dissipative scale of the carrier flow is studied. Recent experiments have highlighted signatures of particles finiteness on their statistical properties,…

Using the formalism of rigorous statistical mechanics, we study the phenomena of phase separation and freezing-point depression upon freezing of solutions. Specifically, we devise an Ising-based model of a solvent-solute system and show…

Mathematical Physics · Physics 2007-05-23 Kenneth Alexander , Marek Biskup , Lincoln Chayes

The continuous limit of large systems of particles of finite size on the line is described. The particles are assumed to move freely and stick under collision, to form compound particles whose mass and size is the sum of the masses and…

Mathematical Physics · Physics 2009-11-11 Gershon Wolansky

The appearance of a convex dip in the microcanonical entropy of finite systems usually signals a first order transition. However, a convex dip also shows up in some systems with a continuous transition as for example in the Baxter-Wu model…

Statistical Mechanics · Physics 2009-11-11 Hans Behringer , Michel Pleimling

We present a phenomenological theory describing the finite-size evaporation-condensation transition of the $q$-state Potts model in the microcanonical ensemble. Our arguments rely on the existence of an exponent $\sigma$, relating the…

Statistical Mechanics · Physics 2016-03-23 Miguel Ibáñez-Berganza

Proceeding from the Clausius-Clapeyron equation, the relation is derived that establishes a correlation between the partial enthalpy of evaporation from binary solutions, concentrations of components, and equilibrium vapor pressures. The…

Chemical Physics · Physics 2010-04-21 Vladimir Kh. Dobruskin

Suspensions of finite-size solid particles in a turbulent pipe flow are found in many industrial and technical flows. Due to the ample parameter space consisting of particle size, concentration, density and Reynolds number, a complete…

Fluid Dynamics · Physics 2024-11-18 Martin Leskovec , Sagar Zade , Mehdi Niazi , Pedro Costa , Fredrik Lundell , Luca Brandt

Liquid drops can be kept from touching a plane solid surface by a gas stream entering from underneath, as it is observed for water drops on a heated plate, kept aloft by a stream of water vapor. We investigate the limit of small flow rates,…

Fluid Dynamics · Physics 2009-11-13 Jacco H. Snoeijer , Philippe Brunet , Jens Eggers
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