scholarly journals Driven Granular Media and Dissipative Gases: Phase Transitions and Instabilities

1997 ◽  
Vol 50 (2) ◽  
pp. 425 ◽  
Author(s):  
D. R. M. Williams
Keyword(s):  
Gas Phase ◽  
Long Range ◽  
Granular Media ◽  
Effective Interaction ◽  
External Noise ◽  
Two Dimensions ◽  
Inelastic Collisions ◽  
Long Range Correlations ◽  
Dissipative Effects ◽  
Gases Phase

We study a simple model of a granular material or powder where the particles are excited by an external noise source and dissipate energy by inelastic collisions. Due to the inelastic collisions between particles there is an effective interaction between them. In one dimension this leads to long-range correlations between the particles in a gas phase despite the absence of long-range forces between the particles. In two dimensions the dissipative effects cause a very sharp liquid–gas phase transition at which the susceptibility has a pronounced peak. In the presence of a double-welled potential the inelasticity causes a symmetry-breaking instability where all the particles cluster into one of the wells.

Driven Granular Media and Dissipative Gases: Correlations and Liquid-Gas Phase Transitions

1996 ◽  
Vol 463 ◽  
Author(s):  
D.R.M. Williams
Keyword(s):  
Gas Phase ◽  
Long Range ◽  
Granular Media ◽  
Effective Interaction ◽  
External Noise ◽  
Two Dimensions ◽  
Inelastic Collisions ◽  
Long Range Correlations ◽  
Dissipative Effects ◽  
Pronounced Peak

ABSTRACTWe study a simple model of a granular material or powder where the particles are excited by an external noise source and dissipate energy by inelastic collisions. Due to the inelastic collisions between particles there is an effective interaction between them. In one dimension this leads to long-range correlations between the particles in a gas phase despite the absence of long-range forces between the particles. In two dimensions the dissipative effects cause a very sharp liquid-gas phase transition at which the susceptibility has a pronounced peak.

Dry Aligning Dilute Active Matter

2020 ◽  
Vol 11 (1) ◽  
pp. 189-212 ◽  
Author(s):  
Hugues Chaté
Keyword(s):  
Long Range ◽  
Collective Motion ◽  
Local Level ◽  
Orientational Order ◽  
Two Dimensions ◽  
Active Matter ◽  
Long Range Correlations ◽  
Active Particles ◽  
Growing Domain

Active matter physics is about systems in which energy is dissipated at some local level to produce work. This is a generic situation, particularly in the living world but not only. What is at stake is the understanding of the fascinating, sometimes counterintuitive, emerging phenomena observed, from collective motion in animal groups to in vitro dynamical self-organization of motor proteins and biofilaments. Dry aligning dilute active matter (DADAM) is a corner of the multidimensional, fast-growing domain of active matter that has both historical and theoretical importance for the entire field. This restrictive setting only involves self-propulsion/activity, alignment, and noise, yet unexpected collective properties can emerge from it. This review provides a personal but synthetic and coherent overview of DADAM, focusing on the collective-level phenomenology of simple active particle models representing basic classes of systems and on the solutions of the continuous hydrodynamic theories that can be derived from them. The obvious fact that orientational order is advected by the aligning active particles at play is shown to be at the root of the most striking properties of DADAM systems: ( a) direct transitions to orientational order are not observed; ( b) instead generic phase separation occurs with a coexistence phase involving inhomogeneous nonlinear structures; ( c) orientational order, which can be long range even in two dimensions, is accompanied by long-range correlations and anomalous fluctuations; ( d) defects are not point-like, topologically bound objects.

scholarly journals Studies of charm and beauty hadron long-range correlations in pp and pPb collisions at LHC energies

2021 ◽  
Vol 813 ◽  
pp. 136036
Author(s):  
A.M. Sirunyan ◽  
A. Tumasyan ◽  
W. Adam ◽  
F. Ambrogi ◽  
T. Bergauer ◽  
...  
Keyword(s):  
Long Range ◽  
Long Range Correlations

scholarly journals Long-range correlations in pinned athermal networks

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Debankur Das ◽  
Pappu Acharya ◽  
Kabir Ramola
Keyword(s):  
Long Range ◽  
Long Range Correlations

scholarly journals Long-Range Phase Order in Two Dimensions under Shear Flow

2021 ◽  
Vol 126 (16) ◽  
Author(s):  
Hiroyoshi Nakano ◽  
Yuki Minami ◽  
Shin-ichi Sasa
Keyword(s):  
Shear Flow ◽  
Long Range ◽  
Two Dimensions

LONG-RANGE CORRELATIONS IN THE PHASE-SHIFTS OF NUMERICAL SIMULATIONS OF BIOCHEMICAL OSCILLATIONS AND IN EXPERIMENTAL CARDIAC RHYTHMS

1999 ◽  
Vol 07 (02) ◽  
pp. 113-130 ◽  
Author(s):  
I. M. DE LA FUENTE ◽  
L. MARTINEZ ◽  
J. M. AGUIRREGABIRIA ◽  
J. VEGUILLAS ◽  
M. IRIARTE
Keyword(s):  
Phase Shift ◽  
Periodic Solutions ◽  
Long Range ◽  
Phase Shifts ◽  
Long Range Correlations ◽  
Rescaled Range ◽  
Biochemical Oscillations ◽  
Phase Shift Data ◽  
Relationship Of ◽  
The Relationship

In biochemical dynamical systems during each transition between periodical behaviors, all metabolic intermediaries of the system oscillate with the same frequency but with different phase-shifts. We have studied the behavior of phase-shift records obtained from random transitions between periodic solutions of a biochemical dynamical system. The phase-shift data were analyzed by means of Hurst's rescaled range method (introduced by Mandelbrot and Wallis). The results show the existence of persistent behavior: each value of the phase-shift depends not only on the recent transitions, but also on previous ones. In this paper, the different kind of periodic solutions were determined by different small values of the control parameter. It was assessed the significance of this results through extensive Monte Carlo simulations as well as quantifying the long-range correlations. We have also applied this type of analysis on cardiac rhythms, showing a clear persistent behavior. The relationship of the results with the cellular persistence phenomena conditioned by the past, widely evidenced in experimental observations, is discussed.

Effects of fast noises on long-range correlations

2011 ◽  
Vol 182 (1) ◽  
pp. 237-239 ◽  
Author(s):  
Shin-ichi Tadaki
Keyword(s):  
Long Range ◽  
Long Range Correlations
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