Phase diagrams of Janus fluids with up-down constrained orientations

Fantoni, Riccardo; Giacometti, Andrea; Maestre, Miguel Ángel G.; Santos, Andrés

doi:10.1063/1.4827861

Cited by 18 publications

(24 citation statements)

References 43 publications

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“…In sections II and III, we analyze some particular cases, and make contact with results from simulations. In particular, we show that attractive interactions of the Kern-Frenkel form lead to layered modulated structures, which have indeed been found in the simulations [11]. Although we do not make quantitative contacts with the simulations, we do claim to have used a much simpler approach to obtain a number of analytical qualitatively results, for a full range of model parameters.…”

Section: Introductionmentioning

confidence: 77%

“…We first consider a simple case, ǫ aa = ǫ bb = ǫ/r > 0, ǫ ab = ǫ ba = 0, which corresponds to I 0 in the cubic representation of Fantoni and collaborators [11]. The attractors of the map can be visualized if we draw graphs of f (ρ), given by Eq.…”

Section: Discontinuous Transition (∆ < 0)mentioning

confidence: 99%

“…[8,9,4,6]). In particular, a simplified two-state version of the Kern-Frenkel model, which is reminiscent of the Zwanzig approximation for liquid-crystalline models, and can be experimentally realised by the application of an electric field, has been extensively studied in [10,11].…”

Section: Introductionmentioning

confidence: 99%

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Bethe-lattice calculations for the phase diagram of a two-state Janus gas

Liarte¹,

Salinas²

2015

J. Stat. Mech.

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We use a simple lattice statistical model to analyze the effects of directional interactions on the phase diagram of a fluid of two-state Janus particles. The problem is formulated in terms of nonlinear recursion relations along the branches of a Cayley tree. Directional interactions are taken into account by the geometry of this graph. Physical solutions on the Bethe lattice (the deep interior of a Cayley tree) come from the analysis of the attractors of the recursion relations. We investigate a number of situations, depending on the concentrations of the types of Janus particles and the parameters of the potential, and make contact with results from recent numerical simulations.

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Section: Introductionmentioning

confidence: 77%

Section: Discontinuous Transition (∆ < 0)mentioning

confidence: 99%

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Bethe-lattice calculations for the phase diagram of a two-state Janus gas

Liarte¹,

Salinas²

2015

J. Stat. Mech.

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“…An interesting progress that could be made at the level of the Fokker-Planck description is to derive the expression for the friction coefficient for a colloidal patchy sticky hard sphere in a solvent of isotropic sticky hard spheres, in the spirit of Refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] or in a solvent of penetrable square well particles, in the spirit of Refs. [37][38][39][40][41][42] or fluid mixtures adsorbed in porous disordered materials, as in Ref.…”

Section: Smoluchowski Equation Namelymentioning

confidence: 99%

From the Liouville to the Smoluchowski equation for a colloidal solute particle in a solvent

Fantoni

2019

Physica A: Statistical Mechanics and its Applications

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We show how the Smoluchowski dynamics of a colloidal Brownian particle suspended in a molecular solvent can be reached starting from the microscopic Liouvillian evolution of the full classical model in the high friction limit. The integration of the solvent degrees of freedom goes through a multiple time scale perturbation expansion which removes the secular divergences. A simple dynamical Monte Carlo scheme is then proposed to solve the resulting evolution equation for the colloid solute particle. In particular we study the approach to the equilibrium Boltzmann distribution at late times and its resilience behavior at shorter times as influenced by the steepness of the external potential and the friction coefficient around their respective minima. This is very important to understand the fate of the Brownian particle's random walk and its evolution history.

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“…We could reach numerically such limit by taking ∆ small enough [16,17,18]. Instead we will fix ∆ = 0.5 in all cases as was done in the previous analysis of Ref.…”

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confidence: 99%

Supercooled superfluids in Monte Carlo simulations

Fantoni

2016

Eur. Phys. J. B

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Abstract. We perform path integral Monte Carlo simulations to study the imaginary time dynamics of metastable supercooled superfluid states and nearly superglassy states of a one component fluid of spinless bosons square wells. Our study shows that the identity of the particles and the exchange symmetry is crucial for the frustration necessary to obtain metastable states in the quantum regime. Whereas the simulation time has to be chosen to determine whether we are in a metastable state or not, the imaginary time dynamics tells us if we are or not close to an arrested glassy state.Key words. Square-well bosons -hard-spheres -supercooled liquid -superfluid -glass -superglassmode-coupling-theory -path-integral Monte Carlo -worm algorithm.PACS. 61.20. .PIf a liquid can be cooled below its melting temperature T m without the occurrence of crystallization, it is called a good glass former, and when the temperature is less than T m the system is called supercooled. The static and dynamical properties of such systems can be studied over a large temperature range below T m and it is found that their relaxation times increase very quickly by many decades if the temperature is lowered. At a certain temperature the relaxation time exceeds the timescale of the experiment and therefore the system will fall out of equilibrium. It is this falling out of equilibrium that is called the glass transition. At temperatures well below this glass transition temperature no relaxation seems to take place any longer, on any reasonable timescale, and it is customary to call this material a glass. This transition temperature will in general depend on the type of experiment, since its definition involves the timescale of the experiment. Understanding the transition from a supercooled liquid to a glass, or a disordered solid, is one of the major open problems in condensed matter.In a liquid of number density ρ, made of mass m particles, moving in a d−dimensional space, the quantum effects will become important when the temperature T is comparable or smaller than the degeneracy temperature2/d , where λ = 2 /2m and is the reduced Planck constant. A liquid such that T D > T m is therefore likely to form a quantum glass.At a temperature T MCT < T m a kinetic glass transition towards an arrested state is predicted by the Mode Coupling Theory (MCT) [1,2]. Many of the qualitative predictions of this theory have been confirmed in experiments and computer simulations, and thus MCT can currently a e-mail: rfantoni@ts.infn.it be regarded as the best available theory of the dynamics of supercooled liquids.Our aim in this letter is to use Path Integral Monte Carlo (PIMC) simulations [3] to gain an understanding on the very general question of the search for an arrested state when the temperature approaches T MCT . Since we are interested in an universal property of glassy systems, our simulations are carried out with a very simple and unrealistic model liquid, namely the square-well bosons [4]. We will be working at very low Temperatures T ≈ T m < T D . ...

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Phase diagrams of Janus fluids with up-down constrained orientations

Cited by 18 publications

References 43 publications

Bethe-lattice calculations for the phase diagram of a two-state Janus gas

Bethe-lattice calculations for the phase diagram of a two-state Janus gas

From the Liouville to the Smoluchowski equation for a colloidal solute particle in a solvent

Supercooled superfluids in Monte Carlo simulations

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