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The thermodynamics is studied with the thermodynamic parameter of the lifetime, first-passage time, generalizing the equilibrium thermodynamics. Various ways of describing several stationary nonequilibrium states in the system are…

Statistical Mechanics · Physics 2019-10-21 V. V. Ryazanov

"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 broad group of very different substances, including helium,…

Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence of a priori potential function corresponding to the…

Statistical Mechanics · Physics 2015-04-24 Ying Tang , Ruoshi Yuan , Jianhong Chen , Ping Ao

Classical thermodynamics is built with the concept of equilibrium states. However, it is less clear how equilibrium thermodynamics emerges through the dynamics that follows the principle of quantum mechanics. In this paper, we develop a…

Quantum Physics · Physics 2018-12-18 Md. Manirul Ali , Wei-Ming Huang , Wei-Min Zhang

We present a unified approach to thermodynamic description of one, two and three dimensional phases and phase transformations among them. The approach is based on a rigorous definition of a phase applicable to thermodynamic systems of any…

Materials Science · Physics 2015-07-01 Timofey Frolov , Yuri Mishin

According to the Multiple Point Principle our Universe is on the coexistence curve of two or more phases of the quantum vacuum. The coexistence of different quantum vacua can be regulated by the exchange of the global fermionic charges…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. E. Volovik

At thermal equilibrium, intensive quantities like temperature and pressure have to be uniform throughout the system, restricting inhomogeneous systems composed of different phases. The paradigmatic example is the coexistence of vapor and…

Statistical Mechanics · Physics 2021-01-26 Thomas Speck

The quest for ever higher information capacities has brought about a renaissance in multimode optical waveguide systems. This resurgence of interest has recently initiated a flurry of activities in nonlinear multimode fiber optics. The…

Optics · Physics 2019-12-19 Fan O. Wu , Absar U. Hassan , Demetrios N. Christodoulides

Phase separation and transitions among different molecular states are ubiquitous in living cells. Such transitions can be governed by local equilibrium thermodynamics or by active processes controlled by biological fuel. It remains largely…

Biological Physics · Physics 2021-11-24 G. Bartolucci , O. Adame-Arana , X. Zhao , C. A. Weber

The relation between thermodynamic phase transitions in classical systems and topology changes in their configuration space is discussed for a one-dimensional, analytically tractable solid-on-solid model. The topology of a certain family of…

Statistical Mechanics · Physics 2007-05-23 Michael Kastner

Understanding the (de)mixing behavior of multicomponent lipid bilayers is an important step towards unraveling the nature of spatial composition heterogeneities in cellular membranes and their role in biological function. We use…

Soft Condensed Matter · Physics 2018-05-17 Shushan He , Lutz Maibaum

Partitioning of (bio)materials in polymeric mixtures is a key phenomenon both in cellular environments, as well as in industrial applications. In cells, several macromolecules are suspended within different biomolecular phases. On the other…

Soft Condensed Matter · Physics 2025-10-15 Vikki Anand Varma , Alberto Scacchi

In this paper, we discuss the conceptual underpinnings of Modern Coexistence Theory (MCT), a quantitative framework for understanding ecological coexistence. In order to use MCT to infer how species are coexisting, one must relate a complex…

Populations and Evolution · Quantitative Biology 2022-01-21 Evan Johnson , Alan Hastings

Phase transitions and critical behavior of driven systems are reviewed. Models exhibiting phase transitions, spontaneous symmetry breaking, phase separation and coarsening processes in d=1 dimension are discussed.

Statistical Mechanics · Physics 2007-05-23 David Mukamel

Microphase separation of membrane components is thought to play an important role in many physiological processes, from cell signaling to endocytosis and cellular trafficking. Here, we study how variations in the membrane composition can be…

Subcellular Processes · Quantitative Biology 2015-05-20 Pierre Sens , Matthew S. Turner

Multi-Context Systems are an expressive formalism to model (possibly) non-monotonic information exchange between heterogeneous knowledge bases. Such information exchange, however, often comes with unforseen side-effects leading to violation…

Artificial Intelligence · Computer Science 2015-03-19 Antonius Weinzierl

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

Employing a two-species Cahn-Hilliard model with nonreciprocal interactions we show that the interplay of nonreciprocity and conservation laws results in the robust coexistence of uniform stationary and oscillatory phases as well as of…

Pattern Formation and Solitons · Physics 2025-08-27 Daniel Greve , Giorgio Lovato , Tobias Frohoff-Hülsmann , Uwe Thiele

Living systems are maintained out-of-equilibrium by external driving forces. At stationarity, they exhibit emergent selection phenomena that break equilibrium symmetries and originate from the expansion of the accessible chemical space due…

Statistical Mechanics · Physics 2026-04-01 Shiling Liang , Paolo De Los Rios , Daniel Maria Busiello

Liquid mixtures of many interacting components often exhibit numerous coexisting types of droplets. An exciting example is the cytosol of biological cells, where diverse droplets, called condensates, are essential for cellular function.…

Soft Condensed Matter · Physics 2025-05-28 Yicheng Qiang , Chengjie Luo , David Zwicker