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Phase transitions are ubiquitous across life, yet hard to quantify and describe accurately. In this work, we develop an approach for characterizing generic attributes of phase transitions from very limited observations made deep within…

Statistical Mechanics · Physics 2023-08-30 Lukas Herron , Kinjal Mondal , John S. Schneekloth , Pratyush Tiwary

According to the reparametrization invariance of the microcanonical ensemble, the only microcanonically relevant phase transitions are those involving an ergodicity breaking in the thermodynamic limit: the zero-order phase transitions and…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , F. Guzman

In previous papers we have introduced a natural nonequilibrium free energy by considering the functional describing the large fluctuations of stationary nonequilibrium states. While in equilibrium this functional is always convex, in…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We study the dynamical response of a system to a sudden change of the tuning parameter $\lambda$ starting (or ending) at the quantum critical point. In particular we analyze the scaling of the excitation probability, number of excited…

Statistical Mechanics · Physics 2010-01-20 C. De Grandi , V. Gritsev , A. Polkovnikov

First- and second-order temperature driven transitions are studied, in a lattice gas driven by an oscillatory field. The short time dynamics study provides upper and lower bounds for the first-order transition points obtained using standard…

Statistical Mechanics · Physics 2009-10-31 Roberto A. Monetti , Ezequiel V. Albano

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

Ferroelectrics with spontaneous electric polarization play an essential role in today's device engineering, such as capacitors and memories. Their physical properties are further enriched by suppressing the long-range polar order, as is…

Materials Science · Physics 2017-03-14 H. Sakai , K. Ikeura , M. S. Bahramy , N. Ogawa , D. Hashizume , J. Fujioka , Y. Tokura , S. Ishiwata

We report avalanche criticality of thermal relaxation in glassy systems after a rapid quench by molecular simulation. Our analysis of the energy landscape and the scaling reveals that particle rearrangement is critical. The critical…

Soft Condensed Matter · Physics 2024-09-25 Yuki Takaha , Hideyuki Mizuno , Atsushi Ikeda

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of…

Statistical Mechanics · Physics 2022-03-24 Mingxi Yue , Xiaoqin Yang , Zi Cai

The contribution of a built-in electric field to ferroelectric phase transition in asymmetric ferroelectric tunnel junctions is studied using a multiscale thermodynamic model. It is demonstrated in details that there exists a critical…

Materials Science · Physics 2015-06-16 Yang Liu , Xiaojie Lou , Manuel Bibes , Brahim Dkhil

It is shown that the critical properties of a recently studied model for non-equilibrium wetting are robust if one extends the dynamic rules by single-particle diffusion on terraces of the wetting layer. Examining the behavior at the…

Statistical Mechanics · Physics 2016-08-16 S. Rössner , H. Hinrichsen

Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

Statistical Mechanics · Physics 2021-09-02 Ryusuke Hamazaki

Phase transition and critical phenomenon is a very interesting topic in thermodynamics and statistical mechanics. Gravity is believed to has deep and inherent relation to thermodynamics. Near the critical point, the perturbation becomes…

General Relativity and Quantum Cosmology · Physics 2014-12-22 Hongsheng Zhang , Xin-Zhou Li

We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field magnetic model. The phase transition manifests itself as a cusp singularity in the probability distribution of the magnetisation that forms at a…

Statistical Mechanics · Physics 2022-03-23 Jan Meibohm , Massimiliano Esposito

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

Statistical Mechanics · Physics 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

Short-time dynamics of many-body systems may exhibit non-analytical behavior of the systems' properties at particular times, thus dubbed dynamical quantum phase transition. Simulations showed that in the presence of disorder new critical…

Statistical Mechanics · Physics 2023-03-14 O. N. Kuliashov , A. A. Markov , A. N. Rubtsov

Phase transitions are fundamental in nature. A small parameter change near a critical point leads to a qualitative change in system properties. Across a regular phase transition, the system remains in thermal equilibrium and, therefore,…

Strongly Correlated Electrons · Physics 2024-12-24 Jingwen Li , Michael Turaev , Masakazu Matsubara , Kristin Kliemt , Cornelius Krellner , Shovon Pal , Manfred Fiebig , Johann Kroha

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal…

Statistical Mechanics · Physics 2022-10-25 Jamir Marino , Martin Eckstein , Matthew S. Foster , Ana Maria Rey

We show how averages of exponential functions of path dependent quantities, such as those of Work Fluctuation Theorems, detect phase transitions in deterministic and stochastic systems. State space truncation -- the restriction of the…

Statistical Mechanics · Physics 2024-01-08 Matteo Colangeli , Antonio Di Francesco , Lamberto Rondoni

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…

Statistical Mechanics · Physics 2025-03-03 Nalina Vadakkayil , Massimiliano Esposito , Jan Meibohm