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We use a one-dimensional (1d) core-softened potential to develop a physical picture for some of the anomalies present in liquid water. The core-softened potential mimics the effect of hydrogen bonding. The interest in the 1d system stems…

Soft Condensed Matter · Physics 2009-10-31 M. Reza Sadr-Lahijany , Antonio Scala , Sergey~V. Buldyrev , H. Eugene Stanley

We investigate the bounds between normal or anomalous effective diffusion for inertial particles transported by parallel flows. The infrared behavior of the fluid kinetic-energy spectrum, i.e. the possible presence of long-range…

Fluid Dynamics · Physics 2014-07-07 Marco Martins Afonso

In this paper a new theory is developed for the self - assembly of associating molecules confined to a single spatial dimension, but allowed to explore all orientation angles. The interplay of the anisotropy of the pair potential and the…

Soft Condensed Matter · Physics 2016-04-27 Bennett D. Marshall

In this talk I discuss the relevance of atomic physics in understanding some important questions about elementary particle physics. A particular attention is devoted to atomic parity violation measurements which seem to suggest new physics…

High Energy Physics - Phenomenology · Physics 2009-10-31 Roberto Casalbuoni

We compute the partition function for non-interacting chiral fermions at second order in a derivative expansion of an arbitrary time-independent gravitational and gauge background. We find that Pauli-Villars regularization of the vacuum…

High Energy Physics - Theory · Physics 2015-06-16 Eugenio Megias , Manuel Valle

The statistical-mechanical study of the equilibrium properties of fluids, starting from the knowledge of the interparticle interaction potential, is essential to understand the role that microscopic interaction between individual particles…

Soft Condensed Matter · Physics 2025-10-07 Ana M. Montero

We present general results for one-dimensional systems of point charges (signed point measures) on the line with a translation invariant distribution $\mu$ for which the variance of the total charge in an interval is uniformly bounded…

Mathematical Physics · Physics 2007-05-23 M. Aizenman , S. Goldstein , J. L. Lebowitz

Dynamical PDEs that have a spatial divergence form possess conservation laws that involve an arbitrary function of time. In one spatial dimension, such conservation laws are shown to describe the presence of an $x$-independent source/sink;…

Mathematical Physics · Physics 2021-03-23 Stephen C. Anco , Elena Recio

Quantum anomalies are violations of classical scaling symmetries caused by quantum fluctuations. Although they appear prominently in quantum field theory to regularize divergent physical quantities, their influence on experimental…

We study the problem of self-energy of pointlike charges in higher dimensional static spacetimes. Their energy, as a functional of the spacetime metric, is invariant under a specific continuous transformation of the metric. We show that the…

High Energy Physics - Theory · Physics 2015-06-05 Valeri P. Frolov , Andrei Zelnikov

In this paper, I study the conditions imposed on a normal charged fluid so that the causality and stability criteria hold for this fluid. I adopt the newly developed General Frame (GF) notion in the relativistic hydrodynamics framework…

High Energy Physics - Theory · Physics 2020-04-07 Farid Taghinavaz

We study the equilibrium configurations of a possibly asymmetric fluid-structure-interaction problem. The fluid is confined in a bounded planar channel and is governed by the stationary Navier-Stokes equations with laminar inflow and…

Analysis of PDEs · Mathematics 2023-08-11 Edoardo Bocchi , Filippo Gazzola

We study the role of non-abelian anomalies in relativistic fluids. To this end, we compute the local functional that solves the anomaly equations, and obtain analytical expressions for the covariant currents and the Bardeen-Zumino terms. We…

High Energy Physics - Theory · Physics 2022-05-11 Juan L. Mañes , Eugenio Megias , Manuel Valle , Miguel A. Vazquez-Mozo

The general properties of a perfect relativistic fluid resulting from the quantum gravitational anomaly are investigated. It is found that, in the limit of a weak gravitational field, this fluid possesses a polytropic equation of state…

High Energy Physics - Theory · Physics 2015-02-09 P. O. Kazinski

We present a conformal theory of a dissipationless relativistic fluid in 2 space-time dimensions. The theory carries with it a representation of the algebra of 2-$D$ area-preserving diffeomorphisms in the target space of the complex scalar…

High Energy Physics - Theory · Physics 2009-11-05 P. D. Jarvis , J. W. van Holten

Some fluids are known to behave anomalously. The so-called structural anomaly which means that the fluid becomes less structures under isothermal compression is among the most frequently discussed ones. Several methods for quantifying the…

Soft Condensed Matter · Physics 2015-06-19 Yu. D. Fomin , B. A. Klumov , V. N. Ryzhov , E. N. Tsiok

We provide firm convincing evidence that the energy transport in a one-dimensional gas of elastically colliding free particles of unequal masses is anomalous, i.e. the Fourier Law does not hold. Our conclusions are based on the analysis of…

Statistical Mechanics · Physics 2009-11-07 Giulio Casati , Tomaz Prosen

First-order phase transitions (PTs) with more than one globally conserved charge, so-called noncongruent PTs, have characteristic differences compared to congruent PTs (e.g., dimensionality of phase diagrams and location of critical points…

Nuclear Theory · Physics 2015-12-23 Matthias Hempel , Veronica Dexheimer , Stefan Schramm , Igor Iosilevskiy

We investigate an unconventional nature of the entropy production (EP) in nonequilibrium systems with odd-parity variables that change signs under time reversal. We consider the Brownian motion of a particle in contact with a heat…

Statistical Mechanics · Physics 2020-01-08 Chulan Kwon , Joonhyun Yeo , Hyun Keun Lee , Hyunggyu Park

Axially symmetric equilibrium configurations of the conformally invariant Willmore energy are shown to satisfy an equation that is two orders lower in derivatives of the embedding functions than the equilibrium shape equation, not one as…

Soft Condensed Matter · Physics 2009-11-11 Pavel Castro-Villarreal , Jemal Guven