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One of the most impressive features of continuous phase transitions is the concept of universality, that allows to group the great variety of different critical phenomena into a small number of universality classes. All systems belonging to…

Statistical Mechanics · Physics 2009-11-11 S. Lubeck

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , P. C. Heger

We consider two different systems exhibiting a continuous phase transition into an absorbing state. Both models belong to the same universality class, i.e., they are characterized by the same scaling functions and the same critical…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck

We investigate finite size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spectrum gap of the associated evolution operators by doubling…

Statistical Mechanics · Physics 2009-06-27 M. D. Grynberg , G. L. Rossini , R. B. Stinchcombe

We consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland

When a system is brought to a metastable state, nuclei of the equilibrium phase form and grow. This is the well-known nucleation and growth of first-order phase transitions. Near a critical point of a continuous phase transition, critical…

Statistical Mechanics · Physics 2025-03-24 Fan Zhong

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

In this work we consider the steady state scaling behavior of directed percolation around the upper critical dimension. In particular we determine numerically the order parameter, its fluctuations as well as the susceptibility as a function…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , R. D. Willmann

We study the critical exponents in the universal scaling laws of a holographic non-equilibrium steady state nearby its critical point of phase transition, which is driven by an AC electric field sitting in the boundary of the bulk. The…

High Energy Physics - Theory · Physics 2018-12-05 Hua-Bi Zeng , Hai-Qing Zhang

The critical point of a topological phase transition is described by a conformal field theory, where finite-size corrections to energy are uniquely related to its central charge. We investigate the finite-size scaling away from criticality…

Statistical Mechanics · Physics 2016-01-18 Tobias Gulden , Michael Janas , Yuting Wang , Alex Kamenev

Universality, where microscopic details become irrelevant, takes place in thermodynamic phase transitions. The universality is captured by a singular scaling function of the thermodynamic variables, where the scaling exponents are…

Statistical Mechanics · Physics 2018-11-16 Ohad Shpielberg , Takahiro Nemoto , João Caetano

Dynamical universality plays a fundamental role in understanding the scaling properties of critical dynamics, including absorbing phase transitions and physical aging. Although individual universality classes have been extensively studied,…

Statistical Mechanics · Physics 2025-03-10 Rong Li , Qirui Ding , Weicheng Cui

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…

Statistical Mechanics · Physics 2008-11-26 Malte Henkel , Ulrich Schollwöck

We study the critical dynamics of a scalar field theory with $Z_2$ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the…

High Energy Physics - Phenomenology · Physics 2024-11-18 Leon J. Sieke , Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

We generalize and apply the key elements of the Kibble-Zurek framework of nonequilibrium phase transitions to study the non-equilibrium critical cumulants near the QCD critical point. We demonstrate the off-equilibrium critical cumulants…

High Energy Physics - Phenomenology · Physics 2018-03-14 Swagato Mukherjee , Raju Venugopalan , Yi Yin

Exploiting the universality between the QCD critical point and the three dimensional Ising model, closed form expressions derived (arXiv:1506.00645 ) for non-equilibrium critical cumulants on the crossover side of the critical point reveal…

High Energy Physics - Phenomenology · Physics 2016-11-30 Swagato Mukherjee , Raju Venugopalan , Yi Yin

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

Adaptation and Self-Organizing Systems · Physics 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

We consider two mean-field like models which belong to the universality class of absorbing phase transitions with a conserved field. In both cases we derive analytically the order parameter as function of the control parameter and of an…

Statistical Mechanics · Physics 2015-06-24 S. Lubeck , A. Hucht

Universality and scaling are fundamental concepts in equilibrium continuous phase transitions. Here, we unveil a unique and universal scaling behavior of the critical time in slowly driven dynamical quantum phase transition. Going beyond…

Statistical Mechanics · Physics 2024-09-26 Xiang Zhang , Liangdong Hu , Fuxiang Li
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