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We study the nonequilibrium phase transition in a model of aggregation of masses allowing for diffusion, aggregation on contact and fragmentation. The model undergoes a dynamical phase transition in all dimensions. The steady state mass…

Statistical Mechanics · Physics 2015-06-25 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

Phase modulation has scarcely been mentioned in diffusive systems since the diffusion process does not carry momentum like waves. Recently, the non-Hermitian physics provides a new perspective for understanding diffusion and shows prospects…

Applied Physics · Physics 2023-09-27 Pei-Chao Cao , Ran Ju , Dong Wang , Minghong Qi , Yun-Kai Liu , Yu-Gui Peng , Hongsheng Chen , Xue-Feng Zhu , Ying Li

This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, and heat generation due…

Fluid Dynamics · Physics 2024-10-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

We theoretically investigate heat transport in temperature-biased Josephson tunnel junctions in the presence of an in-plane magnetic field. In full analogy with the Josephson critical current, the phase-dependent component of the heat flux…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 F. Giazotto , M. J. Martinez-Perez , P. Solinas

Weak multiplex percolation generalizes percolation to multi-layer networks, represented as networks with a common set of nodes linked by multiple types (colors) of edges. We report a novel discontinuous phase transition in this problem.…

Physics and Society · Physics 2022-03-15 R. A. da Costa , G. J. Baxter , S. N. Dorogovtsev , J. F. F. Mendes

We consider the scattering problem for an asymmetric composite photonic structure with a component experiencing a thermally driven phase transition. Using a numerical example, we show that if the heating is caused by the incident light, the…

Applied Physics · Physics 2019-02-27 N. Antonellis , R. Thomas , M. A. Kats , I. Vitebskiy , T. Kottos

We consider a one-dimensional Brownian motion with diffusion coefficient $D$ in the presence of $n$ partially absorbing traps with intensity $\beta$, separated by a distance $L$ and evenly spaced around the initial position of the particle.…

Statistical Mechanics · Physics 2022-11-28 Gaia Pozzoli , Benjamin De Bruyne

A new phase field model is introduced, which can be viewed as nontrivial generalisation of what is known as the Caginalp model. It involves in particular nonlinear diffusion terms. By formal asymptotic analysis, it is shown that in the…

Analysis of PDEs · Mathematics 2012-01-18 Sylvie Benzoni-Gavage , Laurent Chupin , Didier Jamet , Julien Vovelle

The traditional concept of phase transitions has, in recent years, been widened in a number of interesting ways. The concept of a topological phase transition separating phases with a different ground state topology, rather than phases of…

Mesoscale and Nanoscale Physics · Physics 2019-10-24 N. Sedlmayr

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

Two mathematical mechanisms, responsible for the generation of a thermodynamic singularity, are individuated. For a class of short-range, confining potentials, a topology change in some family of configuration space submanifolds is the only…

Statistical Mechanics · Physics 2008-11-26 Michael Kastner

We study the model of a biaxial single ferromagnetic spin Hamiltonian with an external magnetic field applied along the medium axis. The phase transition of the escape rate is investigated. Two different but equivalent methods are…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 S. A. Owerre , M. B. Paranjape

We present a comprehensive study of the phase transitions in the single-field reaction-diffusion stochastic systems with field-dependent mobility of a power-low form and the internal fluctuations. Using variational principles and mean-field…

Statistical Mechanics · Physics 2015-05-13 V. O. Kharchenko

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

Materials Science · Physics 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

Liquid-liquid phase separation has recently emerged as an important topic in the context of cellular organization. Within this context, there are multiple poorly understood features; for instance hints of critical behavior in the plasma…

Statistical Mechanics · Physics 2024-06-25 Felix Herrmann , Burkhard Dünweg , Martin Girard

The phase of the transmission amplitude through a mesoscopic system contains information about the system's quantum mechanical state and excitations thereof. In the absence of an external magnetic field, abrupt phase lapses occur between…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Yehuda Dinaii , Yuval Gefen , Bernd Rosenow

The phase transition of a fluid adsorbed in a heterogeneous system is studied with two simple lattice gas models within the framework of a mean-field theory. Despite the different origin of the heterogeneity (spatial variation of binding…

Statistical Mechanics · Physics 2007-05-23 E. V. Vakarin , W. Dong , J. P. Badiali

The comprehensive computer simulation study of the phase diagram of the repulsive step potential system in three dimensions is represented. We show that the system with a simple purely repulsive isotropic potential demonstrates a number of…

Soft Condensed Matter · Physics 2007-05-23 Yu. D. Fomin , Daan Frenkel , N. V. Gribova , V. N. Ryzhov , S. M. Stishov

In this chapter the recent theoretical work on phase transition in imbalanced fermion superfluids is reviewed. The imbalanced systems are those in which the two fermionic species candidate to form pairing have different Fermi surfaces or…

Superconductivity · Physics 2007-05-23 Heron Caldas

Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the phase manifold, we derive thermodynamic…

General Relativity and Quantum Cosmology · Physics 2011-03-28 H. Quevedo , A. Sanchez , S. Taj , A. Vazquez
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