Article
Multidisciplinary Sciences
A. L. Marques Muniz, F. O. Wu, P. S. Jung, M. Khajavikhan, D. N. Christodoulides, U. Peschel
Summary: Statistical mechanics states that a system with no upper bound on its internal energy should have a positive temperature. However, under certain conditions, it is possible to achieve negative temperatures, where higher-order energy states are favored. So far, observing thermodynamic processes in this regime has been challenging, but this study demonstrates isentropic expansion-compression and Joule expansion at negative optical temperatures using purely nonlinear photon-photon interactions. This photonic approach opens up possibilities for exploring all-optical thermal engines and could have implications for other bosonic systems beyond optics, such as cold atoms and optomechanics.
Article
Astronomy & Astrophysics
Eugenio Megias, Airton Deppman, Roman Pasechnik, Constantino Tsallis
Summary: The Fokker-Planck Equation (FPE) and the Plastino-Plastino Equation (PPE) are tools for investigating the kinematic aspects of systems, with the former being applicable to various systems and the latter to complex systems with q-statistics. By comparing their solutions, we observe clear differences in describing the dynamical evolution of the system and discuss possible experimental investigations.
Article
Optics
Nikolaos K. Efremidis, Demetrios N. Christodoulides
Summary: The study investigates the statistical behavior of multimoded optical systems under equilibrium conditions, examining the role of variations of system parameters in thermodynamic description and deriving an optical analog of the first law of thermodynamics, a generic expression for work done to the system, and an optical Gibbs-Duhem equation. Focusing on two-dimensional photonic lattices, the conditions under which the entropy in waveguide arrays can be considered extensive are studied, with small deviations from extensivity resulting in stress and strain terms. Conservation laws in array configurations are examined to understand the effects of variations in system parameters, along with analysis of respective thermodynamic processes such as isentropic and Joule-type expansions.
Article
Mechanics
J. Lira-Escobedo, J. R. Velez-Cordero, Pedro E. Ramirez-Gonzalez
Summary: We present a first-principles formalism for studying dynamical heterogeneities in glass-forming liquids. We were able to describe the time-dependent local density profile during particle interchange among small regions of the fluid using the diffusion equation. The study reveals interesting phenomena in glass-forming liquids such as arrested states due to strong density gradients and the relaxation of density heterogeneity to a uniform state over time.
Article
Economics
Minsoo Jeong
Summary: This paper presents a novel approach to model financial time series that captures both persistency and long term stationarity. The provided statistical theory and empirical evidence support the existence and characteristic behavior of such series in real financial data.
ECONOMIC MODELLING
(2022)
Article
Astronomy & Astrophysics
Nam H. Hoang, Federico Mogavero, Jacques Laskar
Summary: This study conducted a statistical analysis of 120,000 orbital solutions of the Solar System, exploring the impact of orbital variations on astronomical calibration of geological records and demonstrating the accuracy of results under uncertainty. The results of the secular model were found to be in good agreement with those of the direct integrations of a comprehensive model of the Solar System.
ASTRONOMY & ASTROPHYSICS
(2021)
Article
Physics, Fluids & Plasmas
Gabriele Gotti, Stefano Iubini, Paolo Politi
Summary: In one-dimensional open systems, lattice models can exhibit a condensation transition when the density of a suitable order parameter exceeds a critical value. Localization phenomena can arise in an internal portion of the lattice when the system is out of equilibrium.
Article
Physics, Multidisciplinary
Omer Granek, Yariv Kafri, Julien Tailleur
Summary: The study found that the symmetry of the tracer affects the long-time tails of damping and noise correlations, with symmetric tracers leading to normal diffusion and finite friction while asymmetric tracers induce ratchet effects causing superdiffusion and growing friction. Additionally, for small symmetric tracers, the active contribution to friction becomes negative, enhancing motion rather than opposing it.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Eric B. Jones, Logan E. Hillberry, Matthew T. Jones, Mina Fasihi, Pedram Roushan, Zhang Jiang, Alan Ho, Charles Neill, Eric Ostby, Peter Graf, Eliot Kapit, Lincoln D. Carr
Summary: This study demonstrates the implementation of Quantum Cellular Automata (QCA) on a digital quantum processor, simulating a one-dimensional Goldilocks rule on chains of superconducting qubits. The results show the formation of small-world mutual information networks and provide measurements of population dynamics and complex network measures. These findings contribute to the understanding of complexity in quantum systems.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Fluids & Plasmas
Mathieu Roule, Jean-Baptiste Fouvry, Christophe Pichon, Pierre-Henri Chavanis
Summary: In this study, we investigate the long-term relaxation of one-dimensional self-gravitating systems using both kinetic theory and N-body simulations. Our findings show that all combinations of thermal and Plummer equilibria, with or without collective effects, are consistent with the predictions of Balescu-Lenard and Landau for diffusion coefficients. Interestingly, collective effects reduce diffusion by a factor of about 10. The predicted flux for Plummer equilibrium matches the measured one, providing a remarkable validation of kinetic theory. We also observe a case of quasikinetic blocking for the same equilibrium.
Article
Chemistry, Physical
Vladimir Koskin, Adam Kells, Joe Clayton, Alexander K. Hartmann, Alessia Annibale, Edina Rosta
Summary: Efficiently identifying important communities and key transition nodes in networks is a widespread problem. In this study, we focus on optimal clustering using variational kinetic parameters in Markov processes on the networks. We derive novel relations for optimizing clustering and propose an efficient method using a parallel tempering algorithm. Our approach is compared to existing clustering algorithms and the identified transition nodes are compared to different notions of node centrality.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Article
Physics, Fluids & Plasmas
Florian Miserez, Saswati Ganguly, Rudolf Haussmann, Matthias Fuchs
Summary: We present a microscopic derivation of the laws of continuum mechanics of nonideal ordered solids including dissipation, defect diffusion, and heat transport using the Zwanzig-Mori projection operator formalism. The approach connects microscopic fluctuations to thermodynamic derivatives and transport coefficients, and provides a basis for measurements in atomistic simulations or colloidal experiments.
Article
Physics, Fluids & Plasmas
S. Ariosto, R. Pacelli, F. Ginelli, M. Gherardi, P. Rotondo
Summary: Modern deep neural networks pose a challenge for theorists. Despite the expectation of overfitting due to the large number of parameters, these networks do not exhibit overfitting in practice. By applying replica mean field theory, we compute the generalization gap of machine learning models in the teacher-student scenario and for regression problems. The results provide a stringent upper bound for the generalization gap of fully trained neural networks, improving upon existing bounds from statistical learning theory.
Article
Physics, Fluids & Plasmas
Benjamin Sorkin, Joshua Ricouvier, Haim Diamant, Gil Ariel
Summary: We propose a functional that calculates the entropy contribution of microscopic degrees of freedom based on their measurable pair correlations. This functional can be applied to systems in and out of equilibrium and determines the maximum entropy possible given a certain correlation function. By applying this method to different correlations, we can identify the degrees of freedom that govern a specific physical state, allowing us to capture dynamic transitions. This formalism is also applicable to systems with broken translational invariance and varying numbers of particles.
Article
Multidisciplinary Sciences
Shuai Xu, Zidi Zhou, Zishun Liu, Pradeep Sharma
Summary: In this study, we report a peculiar observation of concurrent stiffening and softening in hydrogels during the dehydration process. The scaling of mechanical behavior with water content, which is not captured by Flory's work, is observed in our experiments. Through coarse-grained molecular dynamics simulations, we elucidate the mechanisms underlying the odd softening-stiffening behavior during dehydration and propose a theoretical model to accurately represent the underlying physics and the divergence from Flory-based theories.