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This paper studies whether rationality can be computed. Rationality is defined as the use of complete information, which is processed with a perfect biological or physical brain, in an optimized fashion. To compute rationality one needs to…

Artificial Intelligence · Computer Science 2018-12-27 Tshilidzi Marwala

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

The use of parameters measuring order-parameter fluctuations (OPF) has been encouraged by the recent results reported in \cite{RS} which show that two of these parameters, $G$ and $G_c$, take universal values in the $\lim_{T\to 0}$. In this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Marco Picco , Felix Ritort , Marta Sales

The notion of distortion in social choice problems has been defined to measure the loss in efficiency -- typically measured by the utilitarian social welfare, the sum of utilities of the participating agents -- due to having access only to…

Computer Science and Game Theory · Computer Science 2021-03-02 Elliot Anshelevich , Aris Filos-Ratsikas , Nisarg Shah , Alexandros A. Voudouris

We study numerically the ordering kinetics in a two-dimensional Ising model with random coupling where the fraction of antiferromagnetic links $a$ can be gradually tuned. We show that, upon increasing such fraction, the behavior changes in…

Statistical Mechanics · Physics 2021-01-12 Manoj Kumar , Federico Corberi , Eugenio Lippiello , Sanjay Puri

Swarmalators are phase oscillators capable of simultaneous swarming and synchronization, making them potential candidates for replicating complex dynamical states. In this work, we explore the effects of a frustration parameter in the phase…

Adaptation and Self-Organizing Systems · Physics 2025-01-10 R. Senthamizhan , R. Gopal , V. K. Chandrasekar

We study the geometrical frustration scenario of glass formation for simple hard sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding of the slowing…

Disordered Systems and Neural Networks · Physics 2015-03-19 Benoit Charbonneau , Patrick Charbonneau , Gilles Tarjus

Similarities between fragile glasses and spin glasses (SG) suggest the study of frustrated spin model to understand the complex dynamics of glasses above the glass transition. We consider a frustrated spin model with Ising spins and s-state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giancarlo Franzese , Antonio Coniglio

The problem of effective use of Phasor Measurement Units (PMUs) to enhance power systems awareness and security is a topic of key interest. The central question to solve is how to use this new measurements to reconstruct the state of the…

Systems and Control · Electrical Eng. & Systems 2020-04-16 Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Johannes Schiffer , M. Nicolai L. Lorenz-Meyer

The first order estimate of energy and eigenstate of a perturbed system are found by summation over its basis.

Quantum Physics · Physics 2009-11-02 Raghu Ramachandran , Rama Komaragiri

Model efficiency is a critical aspect of developing and deploying machine learning models. Inference time and latency directly affect the user experience, and some applications have hard requirements. In addition to inference costs, model…

Machine Learning · Computer Science 2022-03-17 Mostafa Dehghani , Anurag Arnab , Lucas Beyer , Ashish Vaswani , Yi Tay

A measure of complexity based on a probabilistic description of physical systems is proposed. This measure incorporates the main features of the intuitive notion of such a magnitude. It can be applied to many physical situations and to…

Chaotic Dynamics · Physics 2009-11-07 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In one and two space dimensions we find a mild form of chaos,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Alava , H. Rieger

The new method is proposed to monitor the level of currently accumulated fatigue and estimate it by the several statistical methods. The experimental software application was developed and used to get data from sensors (accelerometer, GPS,…

Computational Engineering, Finance, and Science · Computer Science 2016-05-18 Nikita Gordienko

We investigate exotic supersolid phases in the extended Bose-Hubbard model with infinite projected entangled-pair state, numerical exact diagonalization, and mean-field theory. We demonstrate that many different supersolid phases can be…

Other Condensed Matter · Physics 2020-09-07 Wei-Lin Tu , Huan-Kuang Wu , Takafumi Suzuki

Based on the order parameter expansion, we present an approximate method which allows us to reduce large systems of coupled differential equations with diverse parameters to three equations: one for the global, mean field, variable and two…

Disordered Systems and Neural Networks · Physics 2015-05-18 Niko Komin , Raul Toral

Structural balance modeling for signed graph networks presents how to model the sources of conflicts. The state-of-the-art focuses on computing the frustration index of a signed graph, a critical step toward solving problems in social and…

Social and Information Networks · Computer Science 2025-01-16 Muhieddine Shebaro , Jelena Tešić

Entropy is a very useful concept from physics that tries to explain how a system behaves from a point of view of the thermodynamics. However, there are two ways to explain entropy, and it depends on if we are studying a microsystem or a…

General Finance · Quantitative Finance 2024-07-02 Martin Pomares Calero

This Letter studies the decoherence in a system of two antiferromagnetically coupled spins that interact with a spin bath environment. Systems are considered that range from the rotationally invariant to highly anisotropic spin models, have…

Quantum Physics · Physics 2007-05-23 S. Yuan , M. I. Katsnelson , H. De Raedt

Bipartite entanglement between two parties of a composite quantum system can be quantified in terms of the purity of one party and there always exists a pure state of the total system that maximizes it (and minimizes purity). When many…

Quantum Physics · Physics 2012-04-05 Cosmo Lupo , Stefano Mancini , Paolo Facchi , Giuseppe Florio , Saverio Pascazio