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Related papers: Critical Exponents for Supercooled Liquids

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Critical exponents characterize the divergent scaling of thermodynamic quantities near phase transitions and allow for the classification of physical systems into universality classes. While quantum gases thermalizing by interparticle…

Molecular origin of the well-known specific heat anomaly in supercooled liquid water is investigated here by using extensive computer simulations and theoretical analyses. A rather sharp increase in the values of isobaric specific heat with…

Soft Condensed Matter · Physics 2013-04-02 Shinji Saito , Iwao Ohmine , Biman Bagchi

Diffusivity, a measure for how rapidly a fluid self-mixes, shows an intimate, but seemingly fragmented, connection to thermodynamics. On one hand, the "configurational" contribution to entropy (related to the number of mechanically-stable…

Statistical Mechanics · Physics 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

The critical relaxation of iron-vanadium magnetic superlattice in case of the equality between interlayer and intralayer exchange interactions is investigated. The dynamic and static critical exponents of the model are calculated. A value…

Statistical Mechanics · Physics 2014-12-01 Vadim A. Mutailamov , Akai K. Murtazaev

According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for…

Soft Condensed Matter · Physics 2024-08-13 Ian M. Douglass , Jeppe C. Dyre , Lorenzo Costigliola

Deeply supercooled water exhibits complex dynamics with large density fluctuations, ice coarsening and characteristic time scales extending from picoseconds to milliseconds. Here, we discuss implications of these time scales as they pertain…

Statistical Mechanics · Physics 2015-10-28 David T. Limmer , David Chandler

Many-body interactions can play a relevant role in water properties. Here we study by Monte Carlo simulations a coarse-grained model for bulk water that includes many-body interactions associated to water cooperativity. The model is…

Statistical Mechanics · Physics 2016-10-04 Luis Enrique Coronas , Valentino Bianco , Arne Zantop , Giancarlo Franzese

We consider second-order phase transitions in which the order parameter is a replicated overlap matrix. We focus on a tricritical point that occurs in a variety of mean-field models and that, more generically, describes higher order…

Disordered Systems and Neural Networks · Physics 2024-05-27 Luca Leuzzi , Tommaso Rizzo

In statistical physics, it is well established that the liquid-gas (LG) phase transition with divergent critical fluctuations belongs to the Ising universality class. Whether non-equilibrium effects can alter this universal behavior remains…

Statistical Mechanics · Physics 2026-04-07 Shang Gao , Hao Shang , Hao Hu , Yu-Qiang Ma , Qun-Li Lei

We report an extensive and systematic investigation of the multi-point and multi-time correlation functions to reveal the spatio-temporal structures of dynamic heterogeneities in glass-forming liquids. Molecular dynamics simulations are…

Soft Condensed Matter · Physics 2013-01-04 Kang Kim , Shinji Saito

We study the role of multi-particle spatial correlations in the appearance of a liquid-vapour critical point. Our analysis is based on the exact infinite hierarchy of equations relating spatial integrals of $(k+1)$-particle correlations to…

Statistical Mechanics · Physics 2015-10-13 Andrés Santos , Jaroslaw Piasecki

It is shown by the method of renormalized field theory that in contrast to a statement based on a mathematically ill-defined invariance transformation and found in most of the recent publications on growth models with surface diffusion, the…

Statistical Mechanics · Physics 2009-10-28 H. K. Janssen

We formulate a predictive theory at the level of forces of activated relaxation in hard sphere fluids and thermal liquids that covers in a unified manner the apparent Arrhenius, crossover and deeply supercooled regimes. The alpha relaxation…

Soft Condensed Matter · Physics 2013-10-23 Stephen Mirigian , Kenneth S. Schweizer

We present a method to calculate short-time non-equilibrium universal exponents within the functional renormalization-group scheme. As an example, we consider the classical critical dynamics of the relaxational model A after a quench of the…

Statistical Mechanics · Physics 2016-11-10 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

We present a complete characterization of the fluctuations and correlations of the squared overlap in the Edwards-Anderson Spin-Glass model in zero field. The analysis reveals that the energy-energy correlations (and thus the specific heat)…

Disordered Systems and Neural Networks · Physics 2016-02-03 Ada Altieri , Giorgio Parisi , Tommaso Rizzo

All liquids in nature can be supercooled to form a glass. Surprisingly, although this phenomenon has been employed for millennia, it still remains ill-understood. Perhaps the most puzzling feature of supercooled liquids is the dramatic…

Soft Condensed Matter · Physics 2016-08-01 N. B. Weingartner , C. Pueblo , F. S. Nogueira , K. F. Kelton , Z. Nussinov

The complete quantitative description of the structure of dense and supercooled liquids remains a notoriously difficult problem in statistical physics. Most studies to date focus solely on two-body structural correlations, and only a…

Statistical Mechanics · Physics 2023-05-17 Ilian Pihlajamaa , Corentin C. L. Laudicina , Chengjie Luo , Liesbeth M. C. Janssen

The Supercritical Fluid (SCF) is known to exhibit salient dynamic and thermodynamic crossovers and inhomogeneous molecular distribution. But the question as to what basic physics underlies these microscopic and macroscopic anomalies remains…

Soft Condensed Matter · Physics 2020-01-01 Min Young Ha , Tae Jun Yoon , Tsvi Tlusty , YongSeok Jho , Won Bo Lee

The modeling of supercooled liquids approaching dynamic arrest has a long tradition, which is documented through a plethora of competing theoretical approaches. Here, we review the modeling of supercooled liquids in terms of dynamic…

Statistical Mechanics · Physics 2019-09-04 Thomas Speck

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

Adaptation and Self-Organizing Systems · Physics 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg