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We study the relaxation processes of the infinitely long-range interaction model (the Husimi-Temperley model) near the spinodal point. We propose a unified finite-size scaling function near the spinodal point, including the metastable…

统计力学 · 物理学 2013-05-29 Takashi Mori , Seiji Miyashita , Per Arne Rikvold

Photo-induced switching from the low-spin state to the high-spin state is studied in a model of spin-crossover materials, in which long-range interactions are induced by elastic distortions due to different molecular sizes the two spin…

Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation…

The evolution of viscoelastic properties near the sol-gel transition is studied by performing oscillatory rheological measurements on two different types of systems: a colloidal dispersion and a thermo-responsive polymer solution under…

材料科学 · 物理学 2020-06-24 Khushboo Suman , Yogesh M. Joshi

We study the transient regime of type-II biophysical neuron models and determine the scaling behavior of relaxation times $\tau$ near but below the repetitive firing critical current, $\tau \simeq C (I_c-I)^{-\Delta}$. For both the…

神经元与认知 · 定量生物学 2007-05-23 Miguel Angel Durán Roa , Mauro Copelli , Osame Kinouchi , Nestor Caticha

We explore the critical properties of the recently discovered finite-time dynamical phase transition in the non-equilibrium relaxation of Ising magnets after a temperature quench. The transition is characterized by a sudden switch in the…

统计力学 · 物理学 2025-03-03 Nalina Vadakkayil , Massimiliano Esposito , Jan Meibohm

Near a bifurcation point a system experiences critical slowing down. This leads to scaling behavior of fluctuations. We find that a periodically driven system may display three scaling regimes and scaling crossovers near a saddle-node…

介观与纳米尺度物理 · 物理学 2009-11-10 D. Ryvkine , M. I. Dykman , B. Golding

Phenomenological scaling arguments suggest the existence of universal amplitudes in the finite-size scaling of certain correlation lengths in strongly anisotropic or dynamical phase transitions. For equilibrium systems, provided that…

统计力学 · 物理学 2008-11-26 Malte Henkel , Ulrich Schollwöck

The numerical solutions of nonlocal and local Boltzmann kinetic equations for the simulation of central heavy ion reactions are parameterized in terms of time dependent thermodynamical variables in the Fermi liquid sense. This allows one to…

核理论 · 物理学 2009-11-06 Klaus Morawetz

Scaling ideas and renormalization group approaches proved crucial for a deep understanding and classification of critical phenomena in thermal equilibrium. Over the past decades, these powerful conceptual and mathematical tools were…

统计力学 · 物理学 2017-03-29 Uwe C. Täuber

We study the time evolution of classical spin systems with purely relaxational dynamics, quenched from T >> T_c to the critical point, in the semi-infinite geometry. Shortly after the quench, like in the bulk, a nonequilibrium regime…

凝聚态物理 · 物理学 2009-10-28 U. Ritschel , P. Czerner

The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through…

统计力学 · 物理学 2023-03-06 Malte Henkel

We present simulations of stochastic fluid dynamics in the vicinity of a critical endpoint belonging to the universality class of the Ising model. This study is motivated by the challenge of modeling the dynamics of critical fluctuations…

核理论 · 物理学 2024-07-23 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir V. Skokov

It has previously been pointed out that the coexistence of infinite-range and short-range interactions causes a system to have a phase transition of the mean-field universality class, in which the cluster size is finite even at the critical…

We study the off-equilibrium critical phenomena across a hysteretic first-order transition in disordered athermal systems. The study focuses on the zero temperature random field Ising model (ZTRFIM) above the critical disorder for spatial…

统计力学 · 物理学 2023-01-16 Anurag Banerjee , Tapas Bar

For a model long-range interacting system of classical Heisenberg spins, we study how fluctuations, such as those arising from having a finite system size or through interaction with the environment, affect the dynamical process of…

统计力学 · 物理学 2019-08-16 Debraj Das , Shamik Gupta

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

统计力学 · 物理学 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

量子物理 · 物理学 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

无序系统与神经网络 · 物理学 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

We introduce and study a class of particle hopping models consisting of a single box coupled to a pair of reservoirs. Despite being zero-dimensional, in the limit of large particle number and long observation time, the current and activity…

统计力学 · 物理学 2022-08-31 Yongjoo Baek , Yariv Kafri , Vivien Lecomte
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