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While equilibrium interfaces display universal large-scale statistics, interfaces in phase-separated active and driven systems are predicted to belong to distinct non-equilibrium universality classes. Yet, such behavior has proven difficult…

统计力学 · 物理学 2026-04-08 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

Understanding the fluctuations of observables is one of the main goals in science, be it theoretical or experimental, quantum or classical. We investigate such fluctuations when only a subregion of the full system can be observed, focusing…

强关联电子 · 物理学 2022-02-02 Benoit Estienne , Jean-Marie Stéphan , William Witczak-Krempa

We study the fluctuations of the two-time dependent global roughness of finite size elastic lines in a quenched random environment. We propose a scaling form for the roughness distribution function that accounts for the two-time,…

无序系统与神经网络 · 物理学 2009-11-11 Sebastian Bustingorry , Jose Luis Iguain , Claudio Chamon , Leticia F. Cugliandolo , Daniel Dominguez

We study the stabilities of quantum states of macroscopic systems, against noises, against perturbations from environments, and against local measurements. We show that the stabilities are closely related to the cluster property, which…

量子物理 · 物理学 2017-08-23 Akira Shimizu , Takayuki Miyadera , Akihisa Ukena

We investigate two distinct universality classes for probe particles that move stochastically in a one-dimensional driven system. If the random force that drives the probe particles is fully generated by the current fluctuations of the…

统计力学 · 物理学 2007-05-23 A. Rákos , E. Levine , D. Mukamel , G. M. Schütz

We have studied the collective motion of polar active particles confined to ellipsoidal surfaces. The geometric constraints lead to the formation of vortices that encircle surface points of constant curvature (umbilics). We have found that…

软凝聚态物质 · 物理学 2017-07-04 Sebastian Ehrig , Jonathan Ferracci , Richard Weinkamer , John W. C. Dunlop

Motivated by the wide range of applicability of the fluctuation and dissipation phenomena in non-equilibrium systems, we provide a universal study scheme for the dissipation of the energy and the corresponding Brownian motion analysis of…

高能物理 - 理论 · 物理学 2018-09-26 Dimitrios Giataganas , Da-Shin Lee , Chen-Pin Yeh

We study the clustering properties of particles sliding downwards on a fluctuating surface evolving through the Kardar-Parisi-Zhang equation, a problem equivalent to passive scalars driven by a Burgers fluid. Monte Carlo simulations on a…

统计力学 · 物理学 2009-11-11 Apoorva Nagar , Mustansir Barma , Satya N. Majumdar

We discuss the universal scaling laws of order parameter fluctuations in any system in which the second-order critical behaviour can be identified. These scaling laws can be derived rigorously for equilibrium systems when combined with the…

统计力学 · 物理学 2009-10-31 R. Botet , M. Ploszajczak

The statistics of the fluctuations of quantum many-body systems are highly revealing of their nature. In driven-dissipative systems displaying macroscopic quantum coherence, as exciton polariton condensates under incoherent pumping, the…

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…

高能物理 - 唯象学 · 物理学 2009-10-31 Robert Botet , Marek Ploszajczak

In superconductors with relatively low superfluid density, such as cuprate high-$T_c$ superconductors, the phase fluctuations of the superconducting order parameter are remarkable, presumably playing a nonnegligible role in shaping many…

强关联电子 · 物理学 2024-06-17 Zongsheng Zhou , Kang Wang , Hai-Jun Liao , Zi-Xiang Li , Tao Xiang

In this review we discuss the weak KPZ universality conjecture for a class of 1-d systems whose dynamics conserves one or more quantities. As a prototype example for the former case, we will focus on weakly asymmetric simple exclusion…

概率论 · 数学 2020-10-30 Patricia Gonçalves , Alessandra Occelli

From the events generated from the MC code of a multi-phase transport (AMPT) model with string melting, the properties of multiplicity fluctuations of charged particles in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=\rm{~2.76 \,TeV}$ are…

高能物理 - 唯象学 · 物理学 2018-10-31 Rohni Sharma , Ramni Gupta

An approach for understanding the behavior of multiplicity distributions in restricted phase-space intervals derived on the basis of global observables is proposed. We obtain a unifying connection between local multiparticle clusters and…

高能物理 - 唯象学 · 物理学 2008-11-26 S. V. Chekanov , V. I. Kuvshinov

A two-dimensional lattice system of non-interacting electrons in a homogeneous magnetic field with half a flux quantum per plaquette and a random potential is considered. For the large scale behavior a supersymmetric theory with collective…

介观与纳米尺度物理 · 物理学 2009-10-28 K. Ziegler

Despite a long history and a clear overall understanding of properties of random walks on an incipient infinite cluster in percolation, some important information on it seems to be missing in the literature. In the present work, we revisit…

统计力学 · 物理学 2022-08-24 Adrian Pacheco-Pozo , Igor M. Sokolov

We consider stationary fluctuations for the multi-species zero range process with long jumps in one dimension, where the underlying transition probability kernel is $p(x) = c_+ |x|^{-1-\alpha}$ if $x > 0$ and $= c_-|x|^{-1-\alpha}$ if $x <…

概率论 · 数学 2023-03-17 Linjie Zhao

Simple causal arguments put forward by Kibble and Zurek suggest that the scaling behaviour of condensed matter at continuous transitions is related to the familiar universality classes of the systems at quasi-equilibrium. Although proposed…

超导电性 · 物理学 2011-05-13 David J. Weir , Ray J. Rivers

We consider a (1+1)-dimensional ballistic deposition process with next-nearest neighbor interaction, which belongs to the KPZ universality class, and introduce for this discrete model a variational formulation similar to that for the…

统计力学 · 物理学 2011-03-09 Konstantin Khanin , Sergei Nechaev , Gleb Oshanin , Andrei Sobolevski , Oleg Vasilyev