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We present a thermodynamically consistent model describing the dynamics of a multi-component mixture where one enzyme component catalyzes a reaction between other components. We find that the catalytic activity alone can induce phase…

Biological Physics · Physics 2022-10-05 Matthew W. Cotton , Ramin Golestanian , Jaime Agudo-Canalejo

Chemically active droplets provide simple models for cell-like systems that can grow and divide. Such active droplet systems are driven away from thermodynamic equilibrium and turn over chemically, which corresponds to a simple metabolism.…

Biological Physics · Physics 2022-09-28 Jonathan Bauermann , Christoph A. Weber , Frank Jülicher

We study the thermodynamics of binary mixtures with the volume fraction of the minority component less than the amount required to form a flat interface and show that the surface tension dominated equilibrium phase of the mixture forms a…

Soft Condensed Matter · Physics 2023-03-07 Subhadip Biswas , Biswaroop Mukherjee , Buddhapriya Chakrabarti

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

We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

The formation of polarized signaling domains on cell membranes is a fundamental example of biological pattern formation. While such patterns resemble structures from equilibrium phase separation, they are intrinsically non-equilibrium,…

Biological Physics · Physics 2025-12-10 Damiano Andreghetti , Alfredo Braunstein , Luca Dall'Asta , Andrea Gamba

Nonequilibrium steady state of isothermal biochemical cycle kinetics has been extensively studied, but much less investigated under non-isothermal conditions. However, once the heat exchange between subsystems is rather slow, the isothermal…

Chemical Physics · Physics 2016-10-11 Xiao Jin , Hao Ge

We present some results of recent calculations of rigid rod-like particles in shear flow, based on the Doi model. This is an ideal model system for exhibiting the generic behavior of shear-thinning fluids (polymer solutions, wormlike…

Soft Condensed Matter · Physics 2015-06-25 Peter D. Olmsted , C-Y David Lu

In nature, objects which are in thermal contact with each other, usually approach the same temperature, unless a heat source (or sink) cherishes a persistent flow of heat. Accordingly, in a well-isolated apartment flat, most items are at a…

Soft Condensed Matter · Physics 2019-12-04 Suvendu Mandal , Benno Liebchen , Hartmut Löwen

We study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are…

Statistical Mechanics · Physics 2007-05-23 A. Parmeggiani , T. Franosch , E. Frey

Emulsions ripen with an average droplet size increasing in time. In chemically active emulsions, coarsening can be absent, leading to a non-equilibrium steady state with mono-disperse droplet sizes. By considering a minimal model for phase…

Soft Condensed Matter · Physics 2024-09-06 Jonathan Bauermann , Giacomo Bartolucci , Job Boekhoven , Frank Jülicher , Christoph A. Weber

Phase transitions, such as the freezing of water and the magnetisation of a ferromagnet upon lowering the ambient temperature, are familiar physical phenomena. Interestingly, such a collective change of behaviour at a phase transition is…

Biological Physics · Physics 2018-10-26 Chiu Fan Lee , Jean David Wurtz

Materials undergoing both phase separation and chemical reactions (defined here as all processes that change particle type or number) form an important class of non-equilibrium systems. Examples range from suspensions of self-propelled…

Soft Condensed Matter · Physics 2020-09-21 Yuting I. Li , Michael E. Cates

Motivated by recent experimental and theoretical work on the control of phase separation by (electro-)autocatalytic reactions, we analyze pattern formation in externally driven phase separating systems described by a generalization of the…

Chemical Physics · Physics 2023-10-03 Hongbo Zhao , Martin Z. Bazant

Phase separating systems that are maintained away from thermodynamic equilibrium via molecular processes represent a class of active systems, which we call active emulsions. These systems are driven by external energy input for example…

Soft Condensed Matter · Physics 2019-06-07 Christoph A. Weber , David Zwicker , Frank Jülicher , Chiu Fan Lee

We establish the criterion for the phase coexistence in a mixture of nonreciprocally interacting scalar densities. For an arbitrary number of components the active pressure exists for a specific class of interactions, and when the free…

Soft Condensed Matter · Physics 2024-02-16 Suropriya Saha

These lecture notes describe a basic theory of chemically active droplets, which are droplets kept away from equilibrium by driven chemical reactions. The notes assume a basic familiarity with equilibrium thermodynamics of phase separation,…

Soft Condensed Matter · Physics 2024-07-16 David Zwicker

Phase separation within polymer networks plays a central role in shaping the structure and mechanics of both synthetic materials and living cells, including the formation of biomolecular condensates within cytoskeletal networks. Previous…

Soft Condensed Matter · Physics 2025-12-01 Takahiro Yokoyama , Yicheng Qiang , David Zwicker , Arash Nikoubashman

Theoretical work has shed light on the phase behavior of idealized mixtures of many components with random interactions. But typical mixtures interact through particular physical features, leading to a structured, non-random interaction…

Statistical Mechanics · Physics 2022-09-05 Isabella R. Graf , Benjamin B. Machta

The phase separation mechanism of a binary liquid mixture off-critically quenched in its miscibility gap is nucleation and growth, its homogeneous phase reaching a metastable equilibrium state. The successive stages of growth of the…

Statistical Mechanics · Physics 2009-11-18 Jean Colombani , Jacques Bert