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We present a simple unifying treatment of a broad class of applications from statistical mechanics, econometrics, mathematical finance, and insurance mathematics, where (possibly subordinated) L\'evy noise arises as a scaling limit of some…

Probability · Mathematics 2024-01-26 Andreas Søjmark , Fabrice Wunderlich

Adsorption and catalytic properties of the polar (111) surface of transition-metal carbides (TMC's) are investigated by density-functional theory. Atomic and molecular adsorption are rationalized with the concerted-coupling model, in which…

Computational Physics · Physics 2010-05-05 Aleksandra Vojvodic , Anders Hellman , Carlo Ruberto , Bengt I. Lundqvist

The fate of Many-Body Localization (MBL) in the thermodynamic limit remains elusive, partly because numerical studies suffer from unexplained finite-size effects. We introduce and numerically study the charge transport capacity (CTC) -- a…

Disordered Systems and Neural Networks · Physics 2026-04-22 Jessica Kaijia Jiang , Federica Maria Surace , Olexei I. Motrunich

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

We show examples which reveal influences of spatial topologies to dynamics, using a class of spatially {\it closed} inhomogeneous cosmological models. The models, called the {\it locally U(1)$\times$U(1) symmetric models} (or the {\it…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Masayuki Tanimoto

Traffic congestion in metropolitan areas presents a formidable challenge with far-reaching economic, environmental, and societal ramifications. Therefore, effective congestion management is imperative, with traffic signal control (TSC)…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Maonan Wang , Aoyu Pang , Yuheng Kan , Man-On Pun , Chung Shue Chen , Bo Huang

We investigate a one-dimensional water-like lattice model with Van der Waals and hydrogen-bond interactions, allowing for particle number fluctuations through a chemical potential. The model, defined on a chain with periodic boundary…

Statistical Mechanics · Physics 2025-11-25 F. F. Braz , S. M. de Souza , M. L. Lyra , Onofre Rojas

Assuming time-scale separation, a simple and unified theory of thermodynamics and stochastic thermodynamics is constructed for small classical systems strongly interacting with its environment in a controllable fashion. The total…

Statistical Mechanics · Physics 2022-08-16 Mingnan Ding , Zhanchun Tu , Xiangjun Xing

Given discrete degrees of freedom (spins) on a graph interacting via an energy function, what can be said about the energy local minima and associated inherent structures? Using the lid algorithm in the context of a spin glass energy…

Disordered Systems and Neural Networks · Physics 2009-11-11 Z. Burda , A. Krzywicki , O. C. Martin , Z. Tabor

Topological lasers are a new class of lasers that seek to exploit the special properties of topological states of light. A typical limiting factor in their performance is the existence of non-topological states with quality factors…

Optics · Physics 2021-10-25 B. F. Zhu , Q. Wang , Y. Q. Zeng , Q. J. Wang , Y. D. Chong

To identify emerging microscopic structures in low temperature spin glasses, we study self-sustained clusters (SSC) in spin models defined on sparse random graphs. A message-passing algorithm is developed to determine the probability of…

Disordered Systems and Neural Networks · Physics 2018-07-04 Jacopo Rocchi , David Saad , Chi Ho Yeung

Entropy-based inference methods have gained traction for improving the reliability of Large Language Models (LLMs). However, many existing approaches, such as entropy minimization techniques, suffer from high computational overhead and fail…

Machine Learning · Computer Science 2026-01-27 Jin Li , Zhebo Wang , Tianliang Lu , Mohan Li , Wenpeng Xing , Meng Han

Solitons are typically stable objects in 1D models, but their straightforward extensions to 2D and 3D settings tend to be unstable. In particular, the ubiquitous nonlinear Schroedinger (NLS) equation with the cubic self-focusing, creates…

Pattern Formation and Solitons · Physics 2021-11-02 Boris Malomed

We present mode-coupling theory (MCT) results for densely packed hard-sphere fluids confined between two parallel walls and compare them quantitatively to computer simulations. The numerical solution of MCT is calculated for the first time…

Soft Condensed Matter · Physics 2023-05-10 Gerhard Jung , Thomas Franosch

We consider thermodynamic and dynamic phase transitions in plaquette spin models of glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model. We map these coupled-replica systems to a single replica in a…

Statistical Mechanics · Physics 2015-08-19 Robert M. Turner , Robert L. Jack , Juan P. Garrahan

Four-dimensional CDT (causal dynamical triangulations) is a lattice theory of geometries which one might use in an attempt to define quantum gravity non-perturbatively, following the standard procedures of lattice field theory. Being a…

High Energy Physics - Theory · Physics 2020-03-19 J. Ambjorn , D. Coumbe , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz

Dissipationless charge transport is one of the defining properties of superconductors (SC). The interplay between dimensionality and disorder in determining the onset of dissipation in SCs remains an open theoretical and experimental…

Mesoscale and Nanoscale Physics · Physics 2020-04-27 A. Benyamini , E. J. Telford , D. M. Kennes , D. Wang , A. Williams , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean , A. J. Millis , A. N. Pasupathy

We study the resonance fluorescence properties of an optically active spin 1/2 system, elucidating the effects of a magnetic field on the coherence of the scattered light. We derive a master equation model for this system that reproduces…

Based on the tensor network state representation, we develop a nonlinear dynamic theory coined as network contractor dynamics (NCD) to explore the thermodynamic properties of two-dimensional quantum lattice models. By invoking the rank-$1$…

Strongly Correlated Electrons · Physics 2013-08-20 Shi-Ju Ran , Bin Xi , Tao Liu , Gang Su

Using the Keldysh formalism the tunneling current through a hybrid structure where a confined magnetic insulator (I) is sandwiched between two non-magnetic leads is calculated. The leads can be either normal metals (M) or superconductors…

Strongly Correlated Electrons · Physics 2009-11-13 N. Sandschneider , W. Nolting