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Using a Corner Transfer Matrix approach, we compute the bipartite entanglement R\'enyi entropy in the off-critical perturbations of non-unitary conformal minimal models realised by lattice spin chains Hamiltonians related to the Forrester…

High Energy Physics - Theory · Physics 2016-07-18 Davide Bianchini , Francesco Ravanini

Computation of entropy in liquids and liquid crystal phases is a big challenge in statistical physics. In this work, we extend the two-phase thermodynamic model (2PT) to shape anisotropic soft repulsive spherocylinders (SRSs) and report the…

Soft Condensed Matter · Physics 2023-08-16 Jayeeta Chattopadhyay , Shiang-Tai Lin , Prabal K. Maiti

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

Statistical Mechanics · Physics 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

New class of reference distribution functions for numerical approximation of the solution of the Fokker-Planck equations associated to the charged particle dynamics in tokamak are studied. The reference distribution functions are obtained…

Statistical Mechanics · Physics 2016-11-22 György Steinbrecher , Giorgio Sonnino , Nicolae Pometescu

We present a systematic and exact way of computing finite size corrections for the random energy model, in its low temperature phase. We obtain explicit (though complicated) expressions for the finite size corrections of the overlap…

Disordered Systems and Neural Networks · Physics 2015-06-23 Bernard Derrida , Peter Mottishaw

We compute the entanglement entropy in a two dimensional conformal field theory at finite size and finite temperature in the large central charge limit via the replica trick. We first generalize the known monodromy method for the…

High Energy Physics - Theory · Physics 2024-10-30 Marius Gerbershagen

The entropy function for five-dimensional supersymmetric black rings, which are solutions of $U(1)^{3}$ minimal supergravity, is calculated via both on-shell and off-shell formalism. We find that at the tree level, the entropy function…

High Energy Physics - Theory · Physics 2009-11-13 Rong-Gen Cai , Da-Wei Pang

This study investigates in detail the finite-size scaling of the two-dimensional irrationally frustrated XY model. By means of Monte Carlo simulations with entropic sampling, we examine the size dependence of the specific heat, and find…

Condensed Matter · Physics 2007-05-23 Sung Yong Park , M. Y. Choi , Beom Jun Kim , Gun Sang Jeon , Jean S. Chung

We consider the superconformal quantum mechanics associated to BPS black holes in type IIB Calabi-Yau compactifications. This quantum mechanics describes the dynamics of D-branes in the near-horizon attractor geometry of the black hole. In…

High Energy Physics - Theory · Physics 2008-11-26 Paul S. Aspinwall , Alexander Maloney , Aaron Simons

We study the finite-size effects on the BCS-BEC crossover in two dimensions, occurring in confined fermionic superfluids. We analyze several thermodynamic properties, such as the chemical potential, the energy gap and the superfluid…

Quantum Gases · Physics 2024-03-20 M. Lanaro , G. Bighin , L. Dell'Anna , L. Salasnich

As recently manifested , the quench dynamics of isolated quantum systems consisting of a finite number of particles, is characterized by an exponential spreading of wave packets in the many-body Hilbert space. This happens when the…

Chaotic Dynamics · Physics 2020-03-23 Samy Mailoud , Fausto Borgonovi , Felix Izrailev

The entropy power inequality for independent random vectors is a foundational result of information theory, with deep connections to probability and geometric functional analysis. Several extensions of the entropy power inequality have been…

Information Theory · Computer Science 2025-12-23 Mokshay Madiman , James Melbourne , Cyril Roberto

This work contains two single-letter upper bounds on the entropy rate of a discrete-valued stationary stochastic process, which only depend on second-order statistics, and are primarily suitable for models which consist of relatively large…

Information Theory · Computer Science 2022-03-11 Ran Tamir

We study finite size effects for the gap of the quasiparticle excitation spectrum in the weakly interacting regime one-dimensional Hubbard model with on-site attraction. Two type of corrections to the result of the thermodynamic limit are…

Strongly Correlated Electrons · Physics 2009-12-08 M. Colomé-Tatché , S. I. Matveenko , G. V. Shlyapnikov

We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these corrections from the excited state expectation value of bilocal operators in the limit when…

High Energy Physics - Theory · Physics 2024-02-15 Zoltan Bajnok , Georgios Linardopoulos , István M. Szécsényi , Istvan Vona

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

In this paper, we demonstrate how the physics of entropy production, when combined with symmetry constraints, can be used for implementing high-performance and energy-efficient analog computing systems. At the core of the proposed framework…

Neural and Evolutionary Computing · Computer Science 2025-10-30 Aswin Undavalli , Kareem Rashed , Zhili Xiao , Arun Natarajan , Shantanu Chakrabartty , Aravind Nagulu

New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

Ultra-fast electronic phenomena originating from finite temperature, such as nonlinear optical excitation, can be simulated with high fidelity via real-time time dependent density functional theory (rt-TDDFT) calculations with hybrid…

Materials Science · Physics 2025-01-07 Rongrong Liu , Zhuoqiang Guo , Qiuchen Sha , Tong Zhao , Haibo Li , Wei Hu , Lijun Liu , Guangming Tan , Weile Jia

We provide the first rigorous study of the finite-size error in the simplest and representative coupled cluster theory, namely the coupled cluster doubles (CCD) theory, for gapped periodic systems. Assuming that the CCD equations are solved…

Numerical Analysis · Mathematics 2024-01-26 Xin Xing , Lin Lin