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In this paper we study random linear systems with $k$ variables per equation over the finite field GF(2), or equivalently $k$-XOR-CNF formulas. In a previous paper Creignou and Daud\'e proved that the phase transition for the consistency…

离散数学 · 计算机科学 2007-05-23 Nadia Creignou , Herve Daude , Olivier Dubois

Isothermal compressibilities and Brillouin sound velocities from the literature allow to separate the compressibility at the glass transition into a high-frequency vibrational and a low-frequency relaxational part. Their ratio shows the…

无序系统与神经网络 · 物理学 2007-05-23 U. Buchenau , A. Wischnewski

Online and in the real world, communities are bonded together by emotional consensus around core issues. Emotional responses to scientific findings often play a pivotal role in these core issues. When there is too much diversity of opinion…

社会与信息网络 · 计算机科学 2020-01-07 Cole Freeman , Hamed Alhoori , Murtuza Shahzad

The role of probability appears unchallenged as the key measure of uncertainty, used among other things for practical induction in the empirical sciences. Yet, Popper was emphatic in his rejection of inductive probability and of the logical…

其他统计学 · 统计学 2021-08-04 Youngjo Lee , Yudi Pawitan

Over the last million years, human language has emerged and evolved as a fundamental instrument of social communication and semiotic representation. People use language in part to convey emotional information, leading to the central and…

Quantitative understanding of human behaviors provides elementary comprehension of the complexity of many human-initiated systems. A basic assumption embedded in the previous analyses on human dynamics is that its temporal statistics are…

物理与社会 · 物理学 2009-07-31 Tao Zhou , Xiaopu Han , Binghong Wang

We extended our formulation of causal dissipative hydrodynamics [T. Koide \textit{et al.}, Phys. Rev. \textbf{C75}, 034909 (2007)] to be applicable to the ultra-relativistic regime by considering the extensiveness of irreversible currents.…

高能物理 - 唯象学 · 物理学 2009-11-13 G. S. Denicol , T. Kodama , T. Koide , Ph. Mota

We review the recent development on a systematic deterministic formalism describing dynamics of both bulk and fluctuations in an arbitrary relativistic hydrodynamic flow carrying conserved charges. In particular, we discuss the…

高能物理 - 理论 · 物理学 2021-02-03 Xin An

Relativistic dissipative hydrodynamics including hydrodynamic fluctuations is formulated by putting an emphasis on non-linearity and causality. As a consequence of causality, dissipative currents become dynamical variables and noises…

核理论 · 物理学 2013-04-12 Koichi Murase , Tetsufumi Hirano

A dynamic symmetry-breaking transition with noise and inertia is analyzed. Exact solution of the linearized equation that describes the critical region allows precise calculation (exponent and prefactor) of the number of defects produced as…

凝聚态物理 · 物理学 2009-10-31 Esteban Moro , Grant Lythe

This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order…

高能物理 - 唯象学 · 物理学 2011-08-31 Shi Pu

In ballistic Josephson junctions the experimentally observed iv-characteristics deviate from the theoretically predicted behaviour. Recently, Heida et al. Phys. Rev. B 60, 13135 (1999) discussed this problem and offered an explanation for…

介观与纳米尺度物理 · 物理学 2009-10-31 G. Bastian

The dynamics of probability density functions have been extensively studied in computational science and engineering to understand physical phenomena and facilitate algorithmic design. Of particular interest are dynamics formulated as…

偏微分方程分析 · 数学 2026-03-16 José A. Carrillo , Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Dongyi Wei

To identify the main mechanisms underlying complex opinion formation processes in social systems, researchers have long been exploring simple mechanistic mathematical models. Most existing opinion dynamics models are built on a common…

社会与信息网络 · 计算机科学 2022-12-20 Wenjun Mei , Francesco Bullo , Ge Chen , Julien Hendrickx , Florian Dörfler

In narrative synthesis of evidence, it can be the case that the only quantitative measures available concerning the efficacy of an intervention is the direction of the effect, i.e. whether it is positive or negative. In such situations, the…

统计方法学 · 统计学 2021-05-05 Stavros Nikolakopoulos

Ten years ago, relativistic viscous fluid dynamics was formulated from first principles in an effective field theory framework, based entirely on the knowledge of symmetries and long-lived degrees of freedom. In the same year, numerical…

核理论 · 物理学 2019-05-21 Paul Romatschke , Ulrike Romatschke

Critical behaviors of sheared dense and frictionless granular materials in the vicinity of the jamming transition are numerically investigated. From the extensive molecular dynamics simulation, we verify the validity of the scaling theory…

统计力学 · 物理学 2015-05-13 Michio Otsuki , Hisao Hayakawa

By using a formulation of motion equations for a viscous (compressible) fluid flow in terms of the vorticity and the rate of expansion as the main fluid dynamical variables, an approximation model is established for compressible flows with…

偏微分方程分析 · 数学 2023-08-17 Zhongmin Qian , Zihao Shen

Via hydrodynamics preserving molecular dynamics simulations we study growth phenomena in a phase separating symmetric binary mixture model. We quench high-temperature homogeneous configurations to state points inside the miscibility gap,…

软凝聚态物质 · 物理学 2021-07-23 Koyel Das , Subir K. Das

The spacing intervals of adjacent Riemann zeta zeros(non-trivial) exhibit fractal(irregular) fluctuations generic to dynamical systems in nature such as fluid flows, heart beat patterns, stock market price index, etc., and are associated…

综合物理 · 物理学 2007-05-23 A. M. Selvam