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A binary liquid near its consolute point exhibits critical fluctuations of the local composition; the diverging correlation length has always challenged simulations. The method of choice for the calculation of critical points in the phase…

Statistical Mechanics · Physics 2021-04-29 Yogyata Pathania , Dipanjan Chakraborty , Felix Höfling

A semi-grand-canonical Monte Carlo algorithm is employed in conjunction with the bond fluctuation model to investigate the critical properties of an asymmetric binary (AB) polymer mixture. By applying the equal peak-weight criterion to the…

Condensed Matter · Physics 2009-10-22 M. Mueller , N. B. Wilding

We use extreme value statistics to study the dynamics of coarsening in aggregation-fragmentation models which form condensates in the steady state. The dynamics is dominated by the formation of local condensates on a coarsening length scale…

Statistical Mechanics · Physics 2023-03-27 Chandrashekar Iyer , Arghya Das , Mustansir Barma

Finite systems in confining potentials are known to undergo structural transitions similar to phase transitions. However, these systems are inhomogeneous, and their "melting" point may depend on the position in the trap and vary with the…

Plasma Physics · Physics 2015-04-29 H. Thomsen , M. Bonitz

Concentric microtubes of $\beta$-cyclodextrin and SDS grow from the outside in and melt from the inside out, we observe using in situ small angle X-ray scattering. We find that the conformation of the crystalline bilayer affects the…

Soft Condensed Matter · Physics 2023-12-12 Tatiana Komarova , Thomas Zinn , Theyencheri Narayanan , Andrei V. Petukhov , Jasper Landman

Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the semi-infinite Ising model in the limit of large…

Statistical Mechanics · Physics 2009-11-13 Florian Baumann , Michel Pleimling

Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process…

Chaotic Dynamics · Physics 2009-08-20 Jens C. Zahnow , Rafael D. Vilela , Ulrike Feudel , Tamás Tél

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

Statistical Mechanics · Physics 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

The numerical approximation of an inverse problem subject to the convection--diffusion equation when diffusion dominates is studied. We derive Carleman estimates that are on a form suitable for use in numerical analysis and with explicit…

Numerical Analysis · Mathematics 2020-06-25 Erik Burman , Mihai Nechita , Lauri Oksanen

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

Disordered Systems and Neural Networks · Physics 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

The two-dimensional Ising model with fixed magnetization is studied using Monte Carlo techniques. At the coexistence line, the macroscopic, extensive droplet of minority spins becomes thermally unstable by breaking up into microscopic…

Statistical Mechanics · Physics 2009-10-31 M. Pleimling , W. Selke

A number of experimental and theoretical findings in age hardening alloys suggest that specific solute elements preferentially segregate to and reduce the energy of the interphase boundary (IB). This segregation mechanism can stabilize the…

Materials Science · Physics 2019-10-29 Sourabh B Kadambi , Fadi Abdeljawad , Srikanth Patala

We consider the liquid-vapor type phase transition for fluids confined within spatially periodic external fields. For a fluid in d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations…

Statistical Mechanics · Physics 2015-03-19 Richard L. C. Vink , A. J. Archer

We consider the damping of condensate collective modes at finite temperatures arising from lack of equilibrium between the condensate and the non-condensate atoms, an effect that is ignored in the usual discussion of the collisionless…

Condensed Matter · Physics 2009-10-31 J. E. Williams , A. Griffin

This paper investigates the asymptotic behavior of a hyperbolic relaxation system designed for homogeneous two-phase flows in the limit of vanishing relaxation time. The governing equations comprise conservation laws for mixture mass and…

Analysis of PDEs · Mathematics 2026-03-19 Huimin Yu

We study the phase transition in a face-centered-cubic antiferromagnet with Ising spins as a function of the concentration $p$ of ferromagnetic bonds randomly introduced into the system. Such a model describes the spin-glass phase at strong…

Statistical Mechanics · Physics 2014-03-05 V. Thanh Ngo , D. Tien Hoang , Hung T. Diep , I. A. Campbell

We study a cluster Ising model with non-Hermitian external field which can be exactly solved in the language of free fermions. By investigating the second derivative of energy density and fidelity, the possible new critical points are…

Statistical Mechanics · Physics 2022-05-31 Zheng-Xin Guo , Xue-Jia Yu , Xi-Dan Hu , Zhi Li

The short-time stability of concentration profiles in coherent periodic multilayers consisting of two components with large miscibility gap is investigated by analysing stationary solutions of the Cahn-Hilliard diffusion equation. The…

Materials Science · Physics 2009-10-31 Martina Hentschel , Manfred Bobeth , Gerhard Diener , Wolfgang Pompe

In this paper we consider the Glauber dynamics for a disordered ferromagnetic Ising model, in the region of phase coexistence. It was conjectured several decades ago that the spin autocorrelation decays as a negative power of time [Huse and…

Probability · Mathematics 2015-06-05 Marc Wouts

We study slow collective motion of isoscalar type at finite excitation. The collective variable is parameterized as a shape degree of freedom and the mean field is approximated by a deformed shell model potential. We concentrate on…

Nuclear Theory · Physics 2009-10-28 Helmut Hofmann , Fedor A. Ivanyuk , Shuhei Yamaji
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