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Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains. In these systems, there is a natural separation of scales between the strong intra-chain interactions and the weak interchain coupling.…

Quantum Gases · Physics 2023-02-21 Miłosz Panfil , Sarang Gopalakrishnan , Robert M. Konik

In this work, we review and analyze both the theoretical and numerical aspects of strongly and weakly coupled thermoelastic systems. By employing spectral analysis techniques and establishing uniform resolvent estimates, we derive uniform…

Numerical Analysis · Mathematics 2026-02-26 I. Essadeq , S. Nafiri , S. Benjelloun , A. E. Fettouh

We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making it a non-mean field model. Through small coupling series…

Statistical Mechanics · Physics 2014-09-09 Michele Castellana , Aurelien Decelle , Silvio Franz , Marc Mezard , Giorgio Parisi

We investigate the emergent interactions between two active Brownian particles coupled by an attractive harmonic potential and in contact with a thermal reservoir. By analyzing the stationary distribution of their separation, we demonstrate…

Statistical Mechanics · Physics 2025-10-08 Ritwick Sarkar , Sreya Chatterjee , Urna Basu

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

Statistical Mechanics · Physics 2023-03-01 Giorgio Nicoletti

In this paper, we attempt to derive the expression of ensemble average internal energy in long-range interaction complex system. Further, the Shannon entropy hypothesis is used to derive the probability distribution function of energy. It…

Statistical Mechanics · Physics 2019-02-04 Yanxiu Liu , Shenglei Zhang , Liu He , Cheng Xu , Zhifu Huang

Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the…

Neurons and Cognition · Quantitative Biology 2016-11-02 Elliot A. Martin , Jaroslav Hlinka , Jörn Davidsen

Recently, strong coupling between non-Hermitian physical systems of different nature is widely investigated due to it endows them with new properties. In this work, we investigate the energy transport between strongly coupled systems. We…

Quantum Physics · Physics 2022-11-17 I. V. Vovcenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

A new master equation to mimic the dynamics of a collection of interacting random walkers in an open system is proposed and solved numerically.In this model, the random walkers interact through excluded volume interaction (single-file…

Soft Condensed Matter · Physics 2007-05-23 Prasanth P Jose , Biman Bagchi

We consider the classical dynamics of two particles moving in harmonic potential wells and interacting with the same external environment (HE), consisting of N non-interacting chaotic systems. The parameters are set so that when either…

Statistical Mechanics · Physics 2012-04-17 M. A. Marchiori , Ricardo Fariello , M. A. M. de Aguiar

In physics we often use very simple models to describe systems with many degrees of freedom, but it is not clear why or how this success can be transferred to the more complex biological context. We consider models for the joint…

Neurons and Cognition · Quantitative Biology 2024-12-06 Luisa Ramirez , William Bialek , Stephanie E. Palmer , David J. Schwab

Even though the one-dimensional contact interaction requires no regularization, renormalization methods have been shown to improve the convergence of numerical ab initio calculations considerably. In this work, we compare and contrast these…

We present a new empirical model to predict solar energetic particle (SEP) event-integrated and peak intensity spectra between 10 and 130 MeV at 1 AU, based on multi-point spacecraft measurements from the Solar TErrestrial RElations…

Solar and Stellar Astrophysics · Physics 2021-02-24 Alessandro Bruno , Ian G. Richardson

The incoherent dynamical properties of open quantum systems are generically attributed to an ongoing correlation between the system and its environment. Here, we propose a novel way to assess the nature of these system-environment…

Quantum Physics · Physics 2018-01-23 Hong-Bin Chen , Clemens Gneiting , Ping-Yuan Lo , Yueh-Nan Chen , Franco Nori

We use analytic continuation to extend the gauge/gravity duality nonperturbative description of the strong force coupling into the transition, near-perturbative, regime where perturbative effects become important. By excluding the…

High Energy Physics - Phenomenology · Physics 2024-03-26 Guy F. de Teramond , Arpon Paul , Stanley J. Brodsky , Alexandre Deur , Hans Gunter Dosch , Tianbo Liu , Raza Sabbir Sufian

We analyze the dynamical generation of entanglement in systems of two interacting spins initially prepared in a product of spin coherent states. For arbitrary time-independent Hamiltonians, we derive a semiclassical expression for the…

Quantum Physics · Physics 2012-05-29 A. D. Ribeiro , R. M. Angelo

Generic mesoscopic quantum systems that interact with their environment tend to display appreciable correlations with environment that often play an important role in the physical properties of the system. However, the experimental methods…

Quantum Physics · Physics 2021-07-14 Parth Jatakia , Sai Vinjanampathy , Kasturi Saha

The grand potential of a system of interacting electrons is considered as a stationary point of a self-energy functional. It is shown that a rigorous evaluation of the functional is possible for self-energies that are representable within a…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Potthoff

This paper studies large deviations of a ``fully coupled" finite state mean-field interacting particle system in a fast varying environment. The empirical measure of the particles evolves in the slow time scale and the random environment…

Probability · Mathematics 2021-06-24 Sarath Yasodharan , Rajesh Sundaresan

Inspired by our earlier semi-stochastic work aimed at converging high-level coupled-cluster (CC) energetics [J. E. Deustua, J. Shen, and P. Piecuch, Phys. Rev. Lett. 119, 223003 (2017); J. Chem. Phys. 154, 124103 (2021)], we propose a novel…

Chemical Physics · Physics 2022-10-06 Karthik Gururangan , J. Emiliano Deustua , Jun Shen , Piotr Piecuch