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$\beta$-cells are biologically essential for humans and other vertebrates. Because their functionality arises from cell-cell interactions, they are also a model system for collective organization among cells. There are currently two…

We briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the decay of metastable phases are closely…

Statistical Mechanics · Physics 2007-05-23 P. A. Rikvold , G. Korniss , C. J. White , M. A. Novotny , S. W. Sides

Collective epithelial migration leverages on topological rearrangements of the intercellular junctions, which allow cells to intercalate without loosing confluency. In silico studies have provided a clear indication that this process could…

Soft Condensed Matter · Physics 2025-02-14 Leonardo Puggioni , Dimitrios Krommydas , Luca Giomi

Catastrophic transitions, where a system shifts abruptly between alternate steady states, are a generic feature of many nonlinear systems. Recently these regime shift were suggested as the mechanism underlies many ecological catastrophes,…

Populations and Evolution · Quantitative Biology 2015-06-11 Haim Weissmann , Nadav M. Shnerb

We study transition to phase synchronization in an ensemble of Stuart-Landau oscillators interacting on a star network. We observe that by introducing frequency weighted coupling and time scale variations in the dynamics of nodes, system…

Chaotic Dynamics · Physics 2022-09-14 Anjuman Ara Khatun , Ruby Varshney and , Haider Hasan Jafri

We study nonequilibrium phase transitions of reaction-diffusion systems defined on randomly diluted lattices, focusing on the transition across the lattice percolation threshold. To develop a theory for this transition, we combine classical…

Statistical Mechanics · Physics 2009-04-27 Man Young Lee , Thomas Vojta

Machine learning methods have been recently applied to learning phases of matter and transitions between them. Of particular interest is the topological phase transition, such as in the XY model, which can be difficult for unsupervised…

Statistical Mechanics · Physics 2021-01-27 Jielin Wang , Wanzhou Zhang , Tian Hua , Tzu-Chieh Wei

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

Statistical Mechanics · Physics 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino

This article is a continuation of our previous works (see Yukhnovskii I.R. et al., J. Stat. Phys, 1995, 80, 405 and references therein), where we have described the behavior of a simple system of interacting particles in the region of…

Statistical Mechanics · Physics 2013-07-09 I. R. Yukhnovskii , V. O. Kolomiets , I. M. Idzyk

We introduce and analyse the kinetic random-field nonreciprocal Ising model, which incorporates bimodal (double-delta) diffusive disorder along with pairwise nonreciprocal interactions between two different species. Using mean-field and…

Statistical Mechanics · Physics 2026-03-09 Arjun R , A. V. Anil Kumar

Critical phenomena of a second-order percolation transition are known to be independent of cluster merging or pruning process. However, those of a hybrid percolation transition (HPT), mixed properties of both first-order and second-order…

Statistical Mechanics · Physics 2020-03-10 Jinha Park , Sudo Yi , K. Choi , Deokjae Lee , B. Kahng

Superradiant phase transitions from cavity light-matter coupling have been widely explored across platforms. Here, we report a unilateral critical endpoint (UCEP) and a tricritical point (TCP) in the phase diagram of the cavity-coupled…

Quantum Physics · Physics 2025-09-08 Zeyu Rao , Xiaoshui Lin , Xiwang Luo , Guangcan Guo , Han Pu , Ming Gong

Critical phase transitions have proven to be a powerful concept to capture the phenomenology of many systems, including deeply non-equilibrium ones like living systems. The study of these phase transitions has overwhelmingly relied on…

Statistical Mechanics · Physics 2025-12-12 Leone V. Luzzatto , Mathias Casiulis , Stefano Martiniani , István A. Kovács

Ice nucleation is a process of great relevance in physics, chemistry, technology and environmental sciences, much theoretical and experimental efforts have been devoted to its understanding, but still it remains a topic of intense research.…

Soft Condensed Matter · Physics 2019-06-26 Haiyang Niu , Yi Isaac Yang , Michele Parrinello

Phase diagrams of some globular proteins have a fluid-fluid transition as well as a fluid-crystal transition. Homogeneous nucleation of the crystal from the fluid phase near the critical point of the fluid-fluid transition is examined. As…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

In two space dimensions, the percolation point of the pure-site clusters of the Ising model coincides with the critical point T_c of the thermal transition and the percolation exponents belong to a special universality class. By introducing…

Statistical Mechanics · Physics 2009-11-07 S. Fortunato

One-dimensional non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest-neighbour spin exchanges exhibiting directed percolation-like parity conserving(PC) phase transition on…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

Studies of nucleation generally focus on the properties of the critical cluster, but the presence of defects within the crystal lattice means that the population of nuclei necessarily evolve through a distribution of pre-critical clusters…

Soft Condensed Matter · Physics 2022-06-29 Richard K. Bowles , Peter Harrowell

Non-equilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative {reactive} particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the…

Soft Condensed Matter · Physics 2021-05-26 Qun-Li Lei , Hao Hu , Ran Ni

Critical opalescence is a characteristic experimental signature of a second order phase transition in solid state physics. A new, experimentally accessible measure of opacity and of attenuation length in heavy ion reactions is suggested, as…

Nuclear Theory · Physics 2010-02-09 T. Csorgo