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Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor included. Predictions are…

Computational Physics · Physics 2019-03-27 Jiahao Xu , Shan-Ho Tsai , D. P. Landau , K. Binder

We investigate the scaling of the entanglement spectrum and of the R\'enyi block entropies and determine its universal aspects in the ground state of critical and noncritical one-dimensional quantum spin models. In all cases, the scaling…

Statistical Mechanics · Physics 2013-10-02 S. M. Giampaolo , S. Montangero , F. Dell'Anno , S. De Siena , F. Illuminati

We analyze numerically the critical behavior of an absorbing phase transition in the conserved transfer threshold process. We determined the steady state scaling behavior of the order parameter as a function of both, the control parameter…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

This paper looks at the early theory of phase transitions. It considers a group of related concepts derived from condensed matter and statistical physics. The key technical ideas here go under the names of "singularity", "order parameter",…

History and Philosophy of Physics · Physics 2009-09-14 Leo P. Kadanoff

We study finite-size effects at first-order quantum transitions (FOQTs). We show that the low-energy properties show a finite-size scaling (FSS) behavior, the relevant scaling variable being the ratio of the energy associated with the…

Statistical Mechanics · Physics 2014-08-20 Massimo Campostrini , Jacopo Nespolo , Andrea Pelissetto , Ettore Vicari

For systems with infinite-order phase transitions, in which an order parameter smoothly becomes nonzero, a new observable for finite-size scaling analysis is suggested. By construction this new observable has the favourable property of…

Statistical Mechanics · Physics 2016-09-15 Rick Keesman , Jules Lamers , R. A. Duine , G. T. Barkema

The mean-field optical phase transition in multimode equal-coupling photonic networks is studied by temporal evolution of the nonlinear equations of motion of the coupled modes. Analogies to statistical mechanics models of interacting…

Computational Physics · Physics 2022-03-18 Oliver Melchert

For thermal transport in one-dimensional (1D) systems, recent studies have suggested that employing different theoretical models and different numerical simulations under different system's parameter regimes might lead to different…

Statistical Mechanics · Physics 2016-02-01 Daxing Xiong

The dynamics of weak vs. strong first order phase transitions is investigated numerically for 2+1 dimensional scalar field models. It is argued that the change from a weak to a strong transition is itself a (second order) phase transition,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marcelo Gleiser

The universal form for the average scattering intensity from systems undergoing order-disorder transitions is found by numerical integration of the Langevin dynamics. The result is nearly identical for simulations involving two different…

Statistical Mechanics · Physics 2009-10-31 Gregory Brown , Per Arne Rikvold , Martin Grant

We investigate the scaling properties of phase transitions between survival and extinction (active-to-absorbing state phase transition, AAPT) in a model, that by itself belongs to the directed percolation (DP) universality class,…

Statistical Mechanics · Physics 2012-08-22 Niladri Sarkar , Abhik Basu

I explore various scenarios for the phase transition within neutron-star matter. I do so by generating large model-agnostic ensemble using Gaussian processes, both with and without explicit inclusion of first-order phase transitions…

Nuclear Theory · Physics 2025-06-05 Oleg Komoltsev

Attempts to understand zero temperature phase transitions have forced physicists to consider a regime where the standard paradigms of condensed matter physics break down [1-4]. These quantum critical systems lack a simple description in…

Quantum Gases · Physics 2012-07-04 Kaden R. A. Hazzard , Erich J. Mueller

We investigate the dynamic behavior of finite-size systems close to a first-order transition (FOT). We develop a dynamic finite-size scaling (DFSS) theory for the dynamic behavior in the coexistence region where different phases coexist. It…

Statistical Mechanics · Physics 2017-07-19 Andrea Pelissetto , Ettore Vicari

We demonstrate that first-order phase transitions in 1+1-dimensional nonequilibrium systems with fluctuating ordered phases are impossible, provided that there are no additional conservation laws, long-range interactions, macroscopic…

Statistical Mechanics · Physics 2007-05-23 Haye Hinrichsen

Ending the inflation by vacuum decay is considered infeasible due to the graceful exit problem. Even if considering an alternative field other than the inflaton to realize a first-order phase transition (FoPT) during inflation, it is…

High Energy Physics - Phenomenology · Physics 2026-03-16 Jintao Zou , Ligong Bian , Shao-Jiang Wang

In certain modified gravity theories that include additional scalar degrees of freedom, compact objects such as black holes and neutron stars may undergo a process known as spontaneous scalarization, in which the scalar field is suddenly…

General Relativity and Quantum Cosmology · Physics 2025-09-16 João Vitor M. Muniz , Néstor Ortiz , Raissa F. P. Mendes

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

Strongly Correlated Electrons · Physics 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti

Universal scaling laws of fluctuations (the $\Delta$-scaling laws) can be derived for equilibrium and off-equilibrium systems when combined with the finite-size scaling analysis. In any system in which the second-order critical behavior can…

High Energy Physics - Phenomenology · Physics 2009-10-31 Robert Botet , Marek Ploszajczak

We propose a new criterion to analyse the order of phase transitions within a finite size scaling analysis. It refers to response functions like order parameter susceptibilities and the specific heat and states different monotony behaviour…

High Energy Physics - Lattice · Physics 2015-06-25 H. Meyer-Ortmanns , T. Reisz
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