output
20002026
most citedTwo-structure thermodynamics for the TIP4P/2005 model of water covering supercooled and deeply stretched regions

163 citations

13 papers

cond-mat.soft2026

Pattern formation in nonlinear dynamics of nematic liquid crystals above the flexoelectric instability threshold

E. S. Pikina, E. I. Kats, A. R. Muratov +1

For many decades, researchers have been studying various types of electro-hydrodynamic instabilities in liquid crystals. A significant amount of experimental data has been collecte…

cond-mat.soft2025

The metastability of lipid vesicle shapes in uniaxial extensional flow

M. A. Shishkin, E. S. Pikina

In this work, we investigate the elastic properties of deflated vesicles and their shape dynamics in uniaxial extensional flow. By analysing the Helfrich bending energy and viscous…

math.AP2025

Asymptotic estimates for solutions of inhomogeneous non-divergence diffusion equations with drifts

Luan Hoang, Akif Ibragimov

We study the long-time dynamics of the nonlinear processes modeled by diffusion-transport partial differential equations in non-divergence form with drifts. The solutions are subje…

physics.flu-dyn2023★ 1 cited

Marangoni instability in oblate droplets suspended on a circular frame

M. A. Shishkin, K. S. Kolegov, S. A. Pikin +2

We study theoretically internal flows in a small oblate droplet suspended on the circular frame. Marangoni convection arises due to a vertical temperature gradient across the drop…

cond-mat.soft2022★ 2 cited

Circulating Marangoni flows within droplets in smectic films

E. S. Pikina, M. A. Shishkin, K. S. Kolegov +2

We present theoretical study and numerical simulation of Marangoni convection within ellipsoidal isotropic droplets embedded in free standing smectic films (FSSF). The thermocapill…

cond-mat.soft2022★ 2 cited

Long-range interactions between membrane inclusions: Electric field induced giant amplification of the pairwise potential

E. S. Pikina, A. R. Muratov, E. I. Kats +1

The aim of this work is to revisit the phenomenological theory of the interaction between membrane inclusions, mediated by the membrane fluctuations. We consider the case where the…

math.AP2020★ 1 cited

Nonlinear Einstein paradigm of Brownian motion and localization property of solutions

Ivan C. Christov, Isanka Garli Hevage, Akif Ibraguimov +1

We employ a generalization of Einstein's random walk paradigm for diffusion to derive a class of multidimensional degenerate nonlinear parabolic equations in non-divergence form. S…

physics.chem-ph2018★ 10 cited

High-Resolution Adiabatic Calorimetry of Supercooled Water

V. P. Voronov, V. E. Podnek, M. A. Anisimov

Liquid water exhibits anomalous behavior in the supercooled region. A popular hypothesis to explain supercooled water's anomalies is the existence of a metastable liquid-liquid tra…

cond-mat.soft2017★ 10 cited

Simple analysis of scattering data with Ornstein-Zernike equation

E. I. Kats, A. R. Muratov

In this paper we propose and explore a method of analysis of the scattering experimental data for uniform liquid-like systems. In our pragmatic approach we are not trying to introd…

cond-mat.stat-mech2017★ 67 cited

Thermodynamics of Fluid Polyamorphism

Mikhail A. Anisimov, Michal Duška, Frédéric Caupin +3

"Fluid polyamorphism" is the existence of different condensed amorphous states in a single-component fluid. It is either found or predicted, usually at extreme conditions, for a br…

cond-mat.stat-mech2016★ 163 cited

Two-structure thermodynamics for the TIP4P/2005 model of water covering supercooled and deeply stretched regions

John W. Biddle, Rakesh S. Singh, Evan M. Sparano +7

One of the most promising frameworks for understanding the anomalies of cold and supercooled water postulates the existence of two competing, interconvertible local structures. If…

cond-mat.soft2002★ 25 cited

Scaling of demixing curves and crossover from critical to tricritical behavior in polymer solutions

J. S. Hager, M. A. Anisimov, J. V. Sengers +1

In this paper we show that the virial expansion up to third order for the osmotic pressure of a dilute polymer solution, including first-order perturbative corrections to the viria…

cond-mat.soft2000★ 17 cited

Scaling and Crossover to Tricriticality in Polymer Solutions

M. A. Anisimov, V. A. Agayan, E. E. Gorodetskii

We propose a scaling description of phase separation of polymer solutions. The scaling incorporates three universal limiting regimes: the Ising limit asymptotically close to the cr…