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The dynamics of zero-range processes on complex networks is expected to be influenced by the topological structure of underlying networks. A real space complete condensation phase transition in the stationary state may occur. We have…

Statistical Mechanics · Physics 2019-11-05 Guifeng Su , Xiaowen Li , Yi Zhang , Xiaobing Zhang

Dynamics of coarsening of a statistically homogeneous fractal cluster, created by a morphological instability of diffusion-controlled growth, is investigated theoretically. An exact mathematical setting of the problem is presented that…

Statistical Mechanics · Physics 2016-08-31 Baruch Meerson , Pavel V. Sasorov

Coarsening, the process where larger structures grow at the expense of smaller ones, is a fundamental aspect of multiphase systems. The cell cytoplasm exemplifies an out-of-equilibrium multiphase system, where phase-separated condensates…

Understanding the kinematics and dynamics of spreading, pinching, and coalescence of drops is critically important for a diverse range of applications involving spraying, printing, coating, dispensing, emulsification, and atomization. Hence…

Fluid Dynamics · Physics 2022-04-05 Marc-Antoine Fardin , Mathieu Hautefeuille , Vivek Sharma

We investigate the impact of an anisotropic surface tension on the late-stage dilute phase separation dynamics, revisiting the seminal Lifshitz-Slyozov (LS) theory, which traditionally relies on the assumption of isotropic surface tension.…

Statistical Mechanics · Physics 2025-12-02 Arjun R. Anand , Melinda M. Andrews , Benjamin P. Vollmayr-Lee

This work examines the coalescence of two unequal-size spherical liquid droplets in the inviscid regime, with an emphasis on exploring the scaling of the liquid bridge evolution. Our experiment suggests that the classical 1/2 power-law…

Fluid Dynamics · Physics 2024-08-22 Xi Xia , Yicheng Chi , Peng Zhang

The application of an external field often renders empirical criteria for identifying liquid-gas phase transitions ambiguous. Here, we demonstrate that the finite-size scaling of the density profile provides a definitive criterion to…

Statistical Mechanics · Physics 2025-10-28 Chong Zha , Yanshuang Chen , Cheng-Ran Du , Peng Tan , Yuliang Jin

The ripening kinetics of bubbles is studied by performing molecular dynamics simulations. From the time evolution of a system, the growth rates of individual bubbles are determined. At low temperatures, the system exhibits a $t^{1/2}$ law…

Statistical Mechanics · Physics 2016-10-12 Hiroshi Watanabe , Hajime Inaoka , Nobuyasu Ito

Coarsening of two-phase systems is crucial for the stability of dense particle packings such as alloys, foams, emulsions or supersaturated solutions. Mean field theories predict an asymptotic scaling state with a broad particle size…

Processes of coalescence and fragmentation are used to understand the time-evolution of the mass distribution of various systems and may result in a steady state or in stable deterministic or stochastic cycles. Motivated by applications in…

Other Condensed Matter · Physics 2023-10-09 Brennen T. Fagan , Niall J. MacKay , A. Jamie Wood

Oil spills have posed a serious threat to our marine and ecological environment in recent times. Containment of spills proliferating via small drops merging with oceans/seas is especially difficult since their mitigation is closely linked…

We investigate the late coarsening stages of one dimensional adsorption processes with diffusional relaxation. The nonequilibrium domain size distribution is studied by means of the field theory associated to the stochastic evolution. An…

Statistical Mechanics · Physics 2007-05-23 M. D. Grynberg

We investigate the shrinkage induced breakup of thin layers of heterogeneous materials attached to a substrate, a ubiquitous natural phenomenon with a wide range of potential applications. Focusing on the evolution of the fragment ensemble,…

Disordered Systems and Neural Networks · Physics 2025-12-03 Roland Szatmári , Akio Nakahara , So Kitsunezaki , Ferenc Kun

Two coarse-grained models which capture some universal characteristics of stripe forming systems are stud- ied. At high temperatures, the structure factors of both models attain their maxima on a circle in reciprocal space, as a consequence…

Statistical Mechanics · Physics 2012-12-18 Alejandro Mendoza-Coto , Daniel A. Stariolo

Understanding the structure and dynamics of liquids is pivotal for the study of larger spatiotemporal processes, especially in glass-forming materials at low temperatures. Density scaling, observed in many molecular systems through…

Soft Condensed Matter · Physics 2024-10-29 Jaehyeok Jin , David R. Reichman , Jeppe C. Dyre , Ulf R. Pedersen

Monte Carlo simulations of coarse-grained polymers provide a useful tool to deepen the understanding of conformational and statistical properties of polymers both in physical as well as in biological systems. In this study we sample compact…

Soft Condensed Matter · Physics 2009-05-07 Manfred Bohn , Dieter W. Heermann

Aqueous foams are subject to coarsening, whereby gas from the bubbles diffuses through the liquid phase. Gas is preferentially transported from small to large bubbles, resulting in a gradual decrease of the number of bubbles and an increase…

Soft Condensed Matter · Physics 2026-02-19 Jacob Morgan , Simon Cox

When a system is brought to a metastable state, nuclei of the equilibrium phase form and grow. This is the well-known nucleation and growth of first-order phase transitions. Near a critical point of a continuous phase transition, critical…

Statistical Mechanics · Physics 2025-03-24 Fan Zhong

Cell polarization plays a central role in the development of complex organisms. It has been recently shown that cell polarization may follow from the proximity to a phase separation instability in a bistable network of chemical reactions.…

Statistical Mechanics · Physics 2009-03-24 A. Gamba , I. Kolokolov , V. Lebedev , G. Ortenzi

We employ molecular dynamics simulations to investigate the domain morphology and growth kinetics of a vapor-liquid system embedded within a complex porous medium. By systematically varying the pore structure, we analyze the scaling…

Soft Condensed Matter · Physics 2025-06-12 Preethi M , Bhaskar Sen Gupta