# Finite-size effects and thermodynamic limit in one-dimensional Janus fluids

@article{Fantoni2021FinitesizeEA, title={Finite-size effects and thermodynamic limit in one-dimensional Janus fluids}, author={Riccardo Fantoni and Miguel {\'A}ngel G Maestre and A Santos}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2021}, volume={2021} }

The equilibrium properties of a Janus fluid made of two-face particles confined to a one-dimensional channel are revisited. The exact Gibbs free energy for a finite number of particles N is exactly derived for both quenched and annealed realizations. It is proved that the results for both classes of systems tend in the thermodynamic limit (N → ∞) to a common expression recently derived (Maestre and Santos 2020 J. Stat. Mech. 063217). The theoretical finite-size results are particularized to the…

#### References

SHOWING 1-10 OF 61 REFERENCES

Cluster theory of Janus particles

- Physics
- 2011

We apply a simple statistical mechanics cluster approximation for studying clustering in the Kern and Frenkel model of Janus fluids. The approach is motivated by recent Monte Carlo simulations work…

Phase diagrams of Janus fluids with up-down constrained orientations.

- Chemistry, PhysicsThe Journal of chemical physics
- 2013

A class of binary mixtures of Janus fluids formed by colloidal spheres with the hydrophobic hemispheres constrained to point either up or down are studied by means of Gibbs ensemble Monte Carlo simulations and simple analytical approximations and it is found that a gas-liquid transition is present in all the models.

Fluid-fluid coexistence in colloidal systems with short-ranged strongly directional attraction

- Physics
- 2003

We present a systematic numerical study of the phase behavior of square-well fluids with a “patchy” short-ranged attraction. In particular, we study the effect of the size and number of attractive…

A cluster theory for a Janus fluid

- Physics
- 2012

Abstract
Recent Monte Carlo simulations on the Kern and Frenkel model of a Janus fluid have revealed that in the vapour phase there is the formation of preferred clusters made up of a well-defined…

Playing with Marbles: Structural and Thermodynamic Properties of Hard-Sphere Systems

- Physics
- 2013

These lecture notes present an overview of equilibrium statistical mechanics of classical fluids, with special applications to the structural and thermodynamic properties of systems made of particles…

One-dimensional classical fluid with nearest-neighbor interaction in arbitrary external field

- Physics
- 1982

We consider the equilibrium statistical mechanics of a classical one-dimensional simple fluid, with nearest-neighbor interactions, and in an arbitrary external potential. The external potential is…

Triangle-Well and Ramp Interactions in One-Dimensional Fluids: A Fully Analytic Exact Solution

- PhysicsJournal of Statistical Physics
- 2019

The exact statistical-mechanical solution for the equilibrium properties, both thermodynamic and structural, of one-dimensional fluids of particles interacting via the triangle-well and the ramp…

Janus fluid with fixed patch orientations: theory and simulations.

- Chemistry, PhysicsThe Journal of chemical physics
- 2013

A rational-function approximation extending the corresponding symmetric case is obtained in the sticky limit, where the square-well becomes infinitely narrow and deep, and allows a fully analytical approach and provides a rather precise estimate of the structural and thermodynamical properties of the original Janus fluid.

One-Dimensional Fluids with Second Nearest–Neighbor Interactions

- Physics
- 2017

As is well known, one-dimensional systems with interactions restricted to first nearest neighbors admit a full analytically exact statistical-mechanical solution. This is essentially due to the fact…

Nonequilibrium Distribution Functions in a Fluid

- Physics
- 1960

The behavior of a nonequilibrium fluid is analyzed on a level intermediate between that of hydrodynamics, where microstructure is totally ignored, and a phase space description, where the complete…