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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

We present a theory to predict the structure and thermodynamics of mixtures of colloids of different diameters, building on our earlier work [J. Chem. Phys. 145, 074904 (2016)] that considered mixtures with all particles constrained to have…

Soft Condensed Matter · Physics 2017-05-24 Artee Bansal , Arjun Valiya Parambathu , D. Asthagiri , Kenneth R. Cox , Walter G. Chapman

Understanding the phase behaviour of mixtures continues to pose challenges, even for systems that might be considered "simple". Here we consider a very simple mixture of two colloidal and one non-adsorbing polymer species which can be…

We study the second-order phase transition in the $d$-dimensional Ising model with long-range interactions decreasing as a power of the distance $1/r^{d+s}$. For $s$ below some known value $s_*$, the transition is described by a conformal…

High Energy Physics - Theory · Physics 2017-08-24 Connor Behan , Leonardo Rastelli , Slava Rychkov , Bernardo Zan

The thermodynamic behavior of a fluid near a vapor-liquid and, hence, asymmetric critical point is discussed within a general ``complete'' scaling theory incorporating pressure mixing in the nonlinear scaling fields as well as corrections…

Statistical Mechanics · Physics 2009-11-07 Young C. Kim , Michael E. Fisher , G. Orkoulas

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

Disordered Systems and Neural Networks · Physics 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We report a numerical study of equilibrium phase-diagrams and interfacial properties of bulk and confined colloid-polymer mixtures using grand canonical Monte Carlo simulations. Colloidal particles are treated as hard spheres, while the…

Soft Condensed Matter · Physics 2009-11-13 Andrea Fortini , Peter G. Bolhuis , Marjolein Dijkstra

We investigated the critical behavior of the Ising model in a triangular lattice with ferro and anti-ferromagnetic interactions modulated by the Fibonacci sequence, by using finite-size numerical simulations. Specifically, we used a replica…

Disordered Systems and Neural Networks · Physics 2018-05-16 T. F. A. Alves , G. A. Alves , M. S. Vasconcelos

It is proposed that the $O(n)$ spin and geometrical percolation models can help to study the QCD phase diagram due to the universality properties of the phase transition. In this paper, correlations and fluctuations of various sizes of…

High Energy Physics - Phenomenology · Physics 2021-07-30 Lizhu Chen , Yeyin Zhao , Xiaobing Li , Zhiming Li , Yuanfang Wu

We consider the influence of a power-law deviation from the critical coupling such that the system is critical at its surface. We develop a scaling theory showing that such a perturbation introduces a new length scale which governs the…

Statistical Mechanics · Physics 2009-10-06 Mario Collura , Dragi Karevski , Loïc Turban

As first explained by the classic Asakura-Oosawa (AO) model, effective attractive forces between colloidal particles induced by depletion of nonadsorbing polymers can drive demixing of colloid-polymer mixtures into colloid-rich and…

Soft Condensed Matter · Physics 2021-08-27 Alan R. Denton , Wyatt J. Davis

This key-issues review is a plea for a new focus on simpler and more realistic models of glass-forming fluids. It seems to me that we have too often been led astray by sophisticated mathematical models that beautifully capture some of the…

Statistical Mechanics · Physics 2015-06-17 J. S. Langer

Based on the universal properties of a critical point in different systems and that the QCD phase transitions fall into the same universality classes as the 3-dimensional Ising, $O(2)$ or $O(4)$ spin models, the critical behavior of…

Statistical Mechanics · Physics 2015-06-16 Xue Pan , Lizhu Chen , X. S. Chen , Yuanfang Wu

We show that the approach to asymptotic fluctuation-induced critical behavior in polymer solutions is governed by a competition between a correlation length diverging at the critical point and an additional mesoscopic length-scale, the…

Soft Condensed Matter · Physics 2009-11-07 M. A. Anisimov , A. F. Kostko , J. V. Sengers

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the…

Strongly Correlated Electrons · Physics 2015-04-30 William Witczak-Krempa

The high-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy ion collisions. In this paper, using parametric representation of the 3-dimensional Ising model, the sign…

Nuclear Theory · Physics 2021-06-17 Xue Pan , Mingmei Xu , Yuanfang Wu

It was recently shown [Phys. Rev. Lett. {\bf 110}, 227201 (2013)] that the critical behavior of the random-field Ising model in three dimensions is ruled by a single universality class. This conclusion was reached only after a proper taming…

Disordered Systems and Neural Networks · Physics 2016-06-21 Nikolaos G. Fytas , Victor Martin-Mayor

We study the stability of mixtures of highly screened repulsive charged spheres and non-adsorbing ideal polymer chains in a common solvent using free volume theory. The effective interaction between charged colloids in an aqueous salt…

Soft Condensed Matter · Physics 2015-06-25 Andrea Fortini , Marjolein Dijkstra , Remco Tuinier

CoNb$_2$O$_6$ is a unique magnetic material. It features bulk three-dimensional magnetic order at low temperatures, but its quantum critical behavior in a magnetic field is well described by the one-dimensional transverse-field Ising…

Strongly Correlated Electrons · Physics 2026-01-01 Logan Sowadski , Thomas Vojta

We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

High Energy Physics - Lattice · Physics 2021-11-29 Michele Caselle , Marianna Sorba