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We address the system-size dependence of typical plastic flow events when an amorphous solid is put under a fixed external strain rate at a finite temperature. For system sizes that are accessible to numerical simulations at reasonable…

Statistical Mechanics · Physics 2015-05-13 H. G. E. Hentschel , Smarajit Karmakar , Edan Lerner , Itamar Procaccia

Living many-body systems often exhibit scale-free collective behavior reminiscent of thermal critical phenomena. But their mutual interactions are inevitably retarded due to information processing and delayed actuation. We numerically…

Soft Condensed Matter · Physics 2021-12-16 Viktor Holubec , Daniel Geiss , Sarah A. M. Loos , Klaus Kroy , Frank Cichos

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

A d-dimensional finite quantum model system confined to a general hypercubical geometry with linear spatial size L and ``temporal size'' 1/T (T - temperature of the system) is considered in the spherical approximation under periodic…

Condensed Matter · Physics 2008-02-03 H. Chamati , D. M. Danchev , N. S. Tonchev

Multiple Reflection Expansion (MRE) formalism has been applied to hadron resonance gas (HRG) model to study the finite-size effect on thermodynamics of small systems of hadron gas at the chemical freeze-out temperature in high-multiplicity…

High Energy Physics - Phenomenology · Physics 2019-12-06 Nachiketa Sarkar , Paramita Deb , Premomoy Ghosh

We investigate the applicability of machine learning techniques in studying the finite-size effects associated with many-body physics. These techniques have an emerging presence in many-body theory as they have been used for interpolations,…

Nuclear Theory · Physics 2021-11-08 Nawar Ismail , Alexandros Gezerlis

Finite size scaling is a powerful tool to study the critical properties of systems governed by one relevant operator, assuming all irrelevant operators have scaling dimensions much smaller then zero. This condition is likely not satisfied…

High Energy Physics - Lattice · Physics 2022-09-21 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

The search for the QCD critical end point (CEP) is a major objective of contemporary heavy-ion physics, motivating the study of fluctuation observables that are sensitive to critical dynamics. In particular, baryon-number fluctuations…

High Energy Physics - Phenomenology · Physics 2026-03-18 Athanasios Brofas , Fotios K. Diakonos

The finite-size scaling function and the leading corrections for the single species 1D coagulation model $(A + A \rightarrow A)$ and the annihilation model $(A + A \rightarrow \emptyset)$ are calculated. The scaling functions are universal…

Condensed Matter · Physics 2008-02-03 Klaus Krebs , Markus Pfannmueller , Birgit Wehefritz

We discuss finite-size effects in one disordered ${\lambda}{\phi}^{4}$ model defined in a $d$-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a…

Statistical Mechanics · Physics 2016-12-21 R. Acosta Diaz , N. F. Svaiter

We propose the finite-size scaling of correlation function in a finite system near its critical point. At a distance ${\bf r}$ in the finite system with size $L$, the correlation function can be written as the product of $|{\bf…

Statistical Mechanics · Physics 2018-06-01 Xin Zhang , Gaoke Hu , Yongwen Zhang , Xiaoteng Li , Xiaosong Chen

First order quantum phase transitions (1QPTs) are signaled, in the thermodynamic limit, by discontinuous changes in the ground state properties. These discontinuities affect expectation values of observables, including spatial correlations.…

Quantum Physics · Physics 2018-07-12 A. Yuste , C. Cartwright , G. De Chiara , A. Sanpera

Over the last decade computer simulations have had an increasing role in shedding light on difficult statistical physical phenomena and in particular on the ubiquitous problem of the glass transition. Here in a wide variety of materials the…

Statistical Mechanics · Physics 2015-06-04 Smarajit Karmakar , Itamar Procaccia

We investigate simultaneous effects of finite system size and global charge conservation on thermal fluctuations in the vicinity of a critical point. For that we consider a finite interacting system which exchanges particles with a finite…

It is considered in this work the phase transition patterns for a coupled two-scalar field system model under the combined effects of finite sizes and temperature. The scalar fields are taken as propagating in a D=4 Euclidean space with the…

High Energy Physics - Phenomenology · Physics 2023-03-30 Lucas G. Câmara , Rudnei O. Ramos

The presence of non-local and long-range interactions in quantum systems induces several peculiar features in their equilibrium and out-of-equilibrium behavior. In current experimental platforms control parameters such as interaction range,…

The long wavelength diffusion coefficient of a critical fluid confined between two parallel plates separated by a distance L is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion…

Statistical Mechanics · Physics 2009-11-10 Palash Das , Jayanta K. Bhattacharjee

In this Letter we report a simulation study in which we compare the solid-liquid interfacial free energy of NaCl at coexistence, with the value that follows from the height of the homogeneous nucleation barrier. We find that the two…

Materials Science · Physics 2011-12-13 T. Zykova-Timan , C. Valeriani , E. Sanz , D. Frenkel , E. Tosatti

We numerically study the finite-size droplet condensation-evaporation transition in two dimensions. We consider and compare two orthogonal approaches, namely at fixed temperature and at fixed density, making use of parallel multicanonical…

Statistical Mechanics · Physics 2017-01-13 Andreas Nußbaumer , Johannes Zierenberg , Elmar Bittner , Wolfhard Janke

The finite-size scaling theory for continuous phase transition plays an important role in determining critical point and critical exponents from the size-dependent behaviors of quantities in the thermodynamic limit. For percolation phase…

Statistical Mechanics · Physics 2017-10-10 Yong Zhu , Xiaosong Chen