Volume and enthalpy relaxation of glasses after a sudden temperature change has been extensively studied since Kovacs' seminal work. One observes an asymmetric approach to equilibrium upon cooling versus heating and, more counterintuitively, the expansion gap paradox, i.e., dependence on initial effective time even close when heating. Here, we show that distinguishable-particle lattice model can capture both asymmetry paradox. We quantitatively characterize energetic states particle...

We show that a generalized version of the holographic principle can be derived from Hamiltonian description information flow within quantum system maintains separable state. then this entails general gauge invariance. When is realized in an ambient Lorentzian space-time, invariance under Poincaré group immediately achieved. apply pathway to retrieve action gravity. The latter cast à la Wilczek through similar formulation by MacDowell and Mansouri, which involves representation theory Lie...

We present a comprehensive study of concentrated emulsions flowing in microfluidic channels, one wall which is patterned with micron-size equally spaced grooves oriented perpendicularly to the flow direction. find scaling law describing roughness-induced fluidization as function density grooves, thus can be predicted and quantitatively regulated. This suggests common scenarios for droplet trapping release, potentially applicable other jammed systems well. Numerical simulations confirm these...

Metastability in liquids is at the foundation of complex phase transformation dynamics such as nucleation and cavitation. Intermolecular interaction details, beyond equation state, thermal hydrodynamic fluctuations play a crucial role. However, most numerical approaches suffer from slow time space convergence, thus hindering convergence to limit. This work shows that Shan-Chen lattice Boltzmann model has unique capability simulating hydrodynamics metastable state. The structure factor...

We perform kinetic Monte Carlo simulations of a distinguishable-particle lattice model structural glasses with random particle interactions. By varying the interaction distribution and average hopping energy barrier, we obtain an extraordinarily wide range fragility. A stretching exponent, characterizing relaxation, is found to decrease fragility in agreement experiments. The most fragile are those exhibiting low barriers and, more importantly, dramatic drops entropies upon cooling toward...

We demonstrate that the multiphase Shan-Chen lattice Boltzmann method (LBM) yields a curvature dependent surface tension σ as computed from three-dimensional hydrostatic droplets and bubbles simulations. Such dependence is routinely characterized, at first order, by so-called Tolman length δ. LBM allows one to precisely compute of R_{s} determine coefficient order correction. The corresponding values δ display universality for different equations state, following power-law scaling near...

We present a dynamic off-equilibrium method for the study of continuous transitions, which represents generalization usual equilibrium cumulant method. Its main advantage is that critical parameters are derived from numerical data obtained much before has been attained. Therefore, particularly useful systems with long equilibration times, like spin glasses. apply it to three-dimensional Ising spin-glass model, obtaining accurate estimates exponents and temperature limited computational effort.

Numerical simulations reveal possible recurrent transitions between ``fluid'' and ``solid'' states in soft glasses at the yield-stress threshold suggest how to observe this behavior experiments, thus revealing nonstationary nature of yielding for nonhomogeneous stress.

We report an analytical evaluation of the mean-squared displacement (MSD) particles in glasses based on their coarse grained trajectories, after vibrations are averaged out.The calculation is conducted by means a local random configuration-tree theory that was recently proposed one us [C.-H.Lam, J. Stat.Mech.2018, 023301 (2018)].It assumes system dynamics dominated activated particle hops initiated voids and distinguishable with, general, diverse properties.Results compared with numerical...

We explore the impact of geometrical corrugations on near-wall flow properties a soft-material driven in confined rough microchannel. By means numerical simulations, we perform quantitative analysis relation between rate $\Phi$ and wall stress $\sigma_w$ for number setups, by changing both roughness values as well shape. Roughness suppresses flow, with existence characteristic value at which sets in. Just above onset quantitatively analyze $\sigma_w$. While smooth walls linear dependency is...

By means of mesoscopic numerical simulations a model soft-glassy material, we investigate the role boundary roughness on flow behaviour probing bulk/wall and global/local rheologies. We show that reduces wall slip induced by wettability properties acts as source fluidisation for material. A direct inspection plastic events suggests their rate occurrence grows with fluidity field, reconciling our kinetic elasto-plastic descriptions jammed materials. Notwithstanding, observe qualitative...

Fluidization of soft glassy materials (SGMs) in microfluidic channels is affected by the wall roughness form microtexturing. When SGMs flow across microgrooves, their constituents are likely trapped within grooves' gap, and way they released locally modifies fluidization close to walls. By leveraging a suitable combination experiments numerical simulations on concentrated emulsions (a model SGM), we quantitatively report existence two physically different scenarios. gap large compared...

The Kovacs effect is a remarkable feature of the ageing dynamics glass forming liquids near transition temperature. It consists in non-monotonous evolution volume/enthalpy after succession two abrupt temperature changes: first from high initial $T_i$ to much lower annealing $T_a$ followed by smaller second jump back slightly higher final $T_f$. change performed when instantaneous value coincides with equilibrium one at While this protocol might be expected yield right change, observes...

We systematically analyze the tensorial structure of lattice pressure tensors for a class multiphase Boltzmann models (LBM) with multirange interactions. Due to discrete effects, we show that built-in isotropy properties interaction forces are not necessarily mirrored in corresponding tensor. This finding opens different perspective constructing forcing schemes, achieving desired via suitable choice potentials. As an immediate application, obtained LBM schemes tested numerical simulations...

We study the transformation leading from Arnowitt, Deser, Misner (ADM) Hamiltonian formulation of General Relativity (GR) to ΓΓ metric derived Lagrangian density which was firstly proposed by Einstein. classify this as gauged canonical – i.e. modulo a gauge transformation. In such we introduce new written in ADM variables differs usual mainly boundary term Dirac. Performing quantization procedure functional phase contains an explicit dependence on fields characterizing 3+1 splitting. Given...

We apply a stochastic version of the geometric (Ricci) flow, complemented with flow gauge Yang-Mills sector, in order to seed chromo-magnetic and chromo-electric vortices that source area-law for QCD confinement. The is key signature quark confinement theories non-trivial center symmetry. In particular, enclosed within Wilson loops instantiate asymptotic behaviour loop vacuum expectation values. gauge-geometry responsible topology changes induce appearance vortices. When vanish, due...

We follow a new pathway to the definition of Stochastic Quantization (SQ), first proposed by Parisi and Wu, action functional yielding Einstein equations. Hinging on similarities between Ricci-Flow equation SQ Langevin equations Rumpf, we push forward novel approach with multiplicative noise stochastic time that converges proper space-like foliation in equilibrium limit. Furthermore, express starting system using Arnowitt-Deser-Misner (ADM) variables their conjugated Hamiltonian momenta....