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A basic statistical mechanics analysis of many-body systems with non-reciprocal pair interactions is presented. Different non-reciprocity classes in two- and three-dimensional binary systems (relevant to real experimental situations) are…

统计力学 · 物理学 2015-10-09 A. V. Ivlev , J. Bartnick , M. Heinen , H. Löwen

Dynamics of spontaneous symmetry breaking and fluctuations in the Lipkin-Meshkov-Glick model are investigated in a stochastic mean-field approach. Different from the standard mean-field, in the stochastic approach, initial state…

量子物理 · 物理学 2015-06-04 Denis Lacroix , Sakir Ayik , Bulent Yilmaz

We study the stochastic thermodynamics of resetting systems. Violation of microreversibility means that the well known derivations of fluctuations theorems break down for dynamics with resetting. Despite that we show that stochastic…

统计力学 · 物理学 2017-12-27 Arnab Pal , Saar Rahav

Symmetry is one of the most general and useful concepts in physics. A theory or a system that has a symmetry is fundamentally constrained by it. The same constraints do not apply when the symmetry is broken. The quantitative determination…

量子物理 · 物理学 2019-01-23 Ivan Fernandez-Corbaton

We investigate the question, "how does time flow?" and show that time may change by inversions as well. We discuss its implications to a simple class of linear systems. Instead of introducing any unphysical behaviour, inversions can lead to…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Dhurjati Prasad Datta

It has been long known that when spacetime symmetry is spontaneously broken, some of the broken generators may not give rise to independent gapless, Nambu-Goldstone excitations. We provide two complementary viewpoints of this phenomenon. On…

高能物理 - 唯象学 · 物理学 2014-04-23 Tomáš Brauner , Haruki Watanabe

The fluctuation relations have received considerable attention since their emergence and development in the 1990s. We present a summary of the main results and suggest ways to interpret this material. Starting with a consideration of the…

统计力学 · 物理学 2012-02-01 Richard E. Spinney , Ian J. Ford

Symmetry is one of the most central concepts in physics, and it is no surprise that it has also been widely adopted as an inductive bias for machine-learning models applied to the physical sciences. This is especially true for models…

化学物理 · 物理学 2024-12-23 Marcel F. Langer , Sergey N. Pozdnyakov , Michele Ceriotti

The spectral fluctuations of complex quantum systems, in appropriate limit, are known to be consistent with that obtained from random matrices. However, this relation between the spectral fluctuations of physical systems and random matrices…

量子物理 · 物理学 2020-09-16 S. Harshini Tekur , M. S. Santhanam

The dynamics of two active nonlinear resonators coupled to a linear resonator is studied theoretically. Possible stationary states and its dynamical stability are considered in detail. The spontaneous symmetry breaking is found and it is…

光学 · 物理学 2022-04-06 D. Dolinina , A. Yulin

The question of deriving general force/flux relationships that apply out of the linear response regime is a central topic of theories for nonequilibrium statistical mechanics. This work applies an information theory perspective to compute…

统计力学 · 物理学 2019-02-04 David M. Rogers

We experimentally demonstrate that highly structured distributions of work emerge during even the simple task of erasing a single bit. These are signatures of a refined suite of time-reversal symmetries in distinct functional classes of…

Many measurements on soft condensed matter (e.g., biological and materials) systems track low-dimensional observables projected from the full system phase space as a function of time. Examples are dynamic structure factors, spectroscopic…

统计力学 · 物理学 2021-02-03 Alessio Lapolla , Jeremy C. Smith , Aljaž Godec

Scaling properties in financial fluctuations are reviewed from the standpoint of statistical physics. We firstly show theoretically that the balance of demand and supply enhances fluctuations due to the underlying phase transition…

统计力学 · 物理学 2008-12-10 H. Takayasu , M. Takayasu , M. P. Okazaki , K. Marumo , T. Shimizu

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

统计力学 · 物理学 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Hamiltonian trajectories are strictly time-reversible. Any time series of Hamiltonian coordinates {q} satisfying Hamilton's motion equations will likewise satisfy them when played "backwards", with the corresponding momenta changing signs :…

统计力学 · 物理学 2013-03-12 Wm. G. Hoover , Carol G. Hoover

Recently we have described a mechanical system which exhibits spontaneous breaking of Z_2 symmetry and related topological kinks called compactons. The corresponding field potential is not differentiable at its global minima. Therefore,…

高能物理 - 理论 · 物理学 2007-05-23 H. Arodz

Optical instabilities in moving media are linked to a spontaneous parity-time symmetry breaking of the system. It is shown that in general the time evolution of the electromagnetic waves in moving media is determined by a non-Hermitian…

光学 · 物理学 2015-06-19 M. G. Silveirinha

Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also…

统计力学 · 物理学 2022-02-02 Gianluca Francica

Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also…

统计力学 · 物理学 2024-02-08 Ying Tang , Jing Liu , Jiang Zhang , Pan Zhang