arXiv - PHYS - Statistical Mechanics最新文献_第8页

2D additive small-world network with distance-dependent interactions 具有依赖距离的相互作用的二维加性小世界网络

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-03 DOI: arxiv-2409.02033

R. A. Dumer, M. Godoy

{"title":"2D additive small-world network with distance-dependent interactions","authors":"R. A. Dumer, M. Godoy","doi":"arxiv-2409.02033","DOIUrl":"https://doi.org/arxiv-2409.02033","url":null,"abstract":"In this work, we have employed Monte Carlo calculations to study the Ising\u0000model on a 2D additive small-world network with long-range interactions\u0000depending on the geometric distance between interacting sites. The network is\u0000initially defined by a regular square lattice and with probability $p$ each\u0000site is tested for the possibility of creating a long-range interaction with\u0000any other site that has not yet received one. Here, we used the specific case\u0000where $p=1$, meaning that every site in the network has one long-range\u0000interaction in addition to the short-range interactions of the regular lattice.\u0000These long-range interactions depend on a power-law form,\u0000$J_{ij}=r_{ij}^{-alpha}$, with the geometric distance $r_{ij}$ between\u0000connected sites $i$ and $j$. In current two-dimensional model, we found that\u0000mean-field critical behavior is observed only at $alpha=0$. As $alpha$\u0000increases, the network size influences the phase transition point of the\u0000system, i.e., indicating a crossover behavior. However, given the\u0000two-dimensional system, we found the critical behavior of the short-range\u0000interaction at $alphaapprox2$. Thus, the limitation in the number of\u0000long-range interactions compared to the globally coupled model, as well as the\u0000form of the decay of these interactions, prevented us from finding a regime\u0000with finite phase transition points and continuously varying critical exponents\u0000in $0<alpha<2$.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"181 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Interface dynamics of wet active systems 湿活性系统的界面动力学

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-03 DOI: arxiv-2409.02288

Fernando Caballero, Ananyo Maitra, Cesare Nardini

引用次数: 0

Stochastic parametric modulation of linear and non-linear oscillators: Perturbation theory of the response function 线性和非线性振荡器的随机参数调制：响应函数的扰动理论

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-03 DOI: arxiv-2409.01625

Sourin Dey, Jayanta K. Bhattacharjee

引用次数: 0

Quick design of feasible tensor networks for constrained combinatorial optimization 为约束组合优化快速设计可行的张量网络

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-03 DOI: arxiv-2409.01699

Hyakka Nakada, Kotaro Tanahashi, Shu Tanaka

{"title":"Quick design of feasible tensor networks for constrained combinatorial optimization","authors":"Hyakka Nakada, Kotaro Tanahashi, Shu Tanaka","doi":"arxiv-2409.01699","DOIUrl":"https://doi.org/arxiv-2409.01699","url":null,"abstract":"In this study, we propose a new method for constrained combinatorial\u0000optimization using tensor networks. Combinatorial optimization methods\u0000employing quantum gates, such as quantum approximate optimization algorithm,\u0000have been intensively investigated. However, their limitations in errors and\u0000the number of qubits prevent them from handling large-scale combinatorial\u0000optimization problems. Alternatively, attempts have been made to solve\u0000larger-scale problems using tensor networks that can approximately simulate\u0000quantum states. In recent years, tensor networks have been applied to\u0000constrained combinatorial optimization problems for practical applications. By\u0000preparing a specific tensor network to sample states that satisfy constraints,\u0000feasible solutions can be searched for without the method of penalty functions.\u0000Previous studies have been based on profound physics, such as U(1) gauge\u0000schemes and high-dimensional lattice models. In this study, we devise to design\u0000feasible tensor networks using elementary mathematics without such a specific\u0000knowledge. One approach is to construct tensor networks with nilpotent-matrix\u0000manipulation. The second is to algebraically determine tensor parameters. For\u0000the principle verification of the proposed method, we constructed a feasible\u0000tensor network for facility location problem and conducted imaginary time\u0000evolution. We found that feasible solutions were obtained during the evolution,\u0000ultimately leading to the optimal solution. The proposed method is expected to\u0000facilitate the discovery of feasible tensor networks for constrained\u0000combinatorial optimization problems.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Using test particle sum rules to construct accurate functionals in classical Density Functional Theory 利用测试粒子和规则构建经典密度泛函理论中的精确函数

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-03 DOI: arxiv-2409.01750

Melih Gül, Roland Roth, Robert Evans

{"title":"Using test particle sum rules to construct accurate functionals in classical Density Functional Theory","authors":"Melih Gül, Roland Roth, Robert Evans","doi":"arxiv-2409.01750","DOIUrl":"https://doi.org/arxiv-2409.01750","url":null,"abstract":"Fundamental Measure Theory (FMT) is a successful and versatile approach for\u0000describing the properties of the hard-sphere fluid and hard-sphere mixtures\u0000within the framework of classical density functional theory (DFT). Lutsko\u0000[Phys. Rev. E 102, 062137 (2020)] introduced a version of FMT containing two\u0000free parameters, to be fixed by additional physical constraints. Whereas Lutsko\u0000focused on the stability of crystalline phases, we introduce and employ two\u0000statistical mechanical sum rules pertinent for the fluid phase, that are not\u0000automatically satisfied by FMT. By minimizing the relative deviation between\u0000different routes to calculate the excess chemical potential and the isothermal\u0000compressibility we determine the two free parameters of the theory. Our results\u0000indicate that requiring consistency with these sum rules can improve the\u0000quality of predictions of FMT for properties of the hard-sphere fluid phase. We\u0000suggest that employing these (test particle) sum rules, which apply for any\u0000interparticle pair-potential, might provide a means of testing the performance\u0000and accuracy of general DFT approximations.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Entropy production in continuous systems with unidirectional transitions 单向转换的连续系统中的熵产生

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-03 DOI: arxiv-2409.02321

Mário J. de Oliveira

引用次数: 0

Conformation and topology of cyclical star polymers 环状星形聚合物的构象和拓扑结构

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-02 DOI: arxiv-2409.01149

Davide Breoni, Emanuele Locatelli, Luca Tubiana

引用次数: 0

Tripartite Entanglement In Mixed-Spin Triangle Trimer 混合旋片三角形三聚体中的三方纠缠

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-02 DOI: arxiv-2409.01204

Zhirayr Adamyan, Vadim Ohanyan

引用次数: 0

Beyond the Carnot Limit in the Internal Cycles of a Quantum Heat Engine under Finite Heat Reservoirs 有限热库下量子热机内部循环的卡诺极限超越

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-02 DOI: arxiv-2409.00914

L. -L. Yan, M. -R. Yun, M. Li, S. -L. Su, K. -F. Cui, Gang Chen, M. Feng

引用次数: 0

Thermodynamic and energetic constraints on out-of-equilibrium tunneling rates 平衡外隧道速率的热力学和能量制约因素

arXiv - PHYS - Statistical Mechanics Pub Date : 2024-09-02 DOI: arxiv-2409.00981

Ludovico Tesser, Matteo Acciai, Christian Spånslätt, Inès Safi, Janine Splettstoesser

{"title":"Thermodynamic and energetic constraints on out-of-equilibrium tunneling rates","authors":"Ludovico Tesser, Matteo Acciai, Christian Spånslätt, Inès Safi, Janine Splettstoesser","doi":"arxiv-2409.00981","DOIUrl":"https://doi.org/arxiv-2409.00981","url":null,"abstract":"We study bipartite quantum systems kept at different temperatures where a\u0000tunnel coupling between the two subsystems induces transitions. We find two\u0000independent constraints on the temperature-bias-dependent, out-of-equilibrium\u0000tunneling rates between the two subsystems, which both turn out to be\u0000particularly restrictive when the coupled quantum systems are small. These\u0000bounds take the form of a thermodynamic and of an energetic constraint, as they\u0000are associated with the dissipated heat and with the absorbed energy required\u0000to establish and deplete the temperature bias, respectively. The derived\u0000constraints apply to a large class of experimentally accessible quantum\u0000systems: except for the restriction to the tunneling regime, they hold for\u0000arbitrary subsystem Hamiltonians, including interactions or non-linear energy\u0000spectra. These results hold for a large class of experimentally relevant\u0000systems, ranging from molecular junctions to coupled cavities, and can be\u0000tested by, for instance, measuring the out-of-equilibrium tunneling current and\u0000its noise.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0