Communications in Mathematical Physics最新文献

Ionized Gas in an Annular Region 环状区域中的电离气体

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s00220-025-05307-4

Walter A. Strauss, Masahiro Suzuki

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Quantum Entropy Thermalization 量子熵热化

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s00220-025-05268-8

Yichen Huang, Aram W. Harrow

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Resurgence and Riemann–Hilbert Problems for Elliptic Calabi–Yau Threefolds 椭圆型Calabi-Yau三倍的复现和Riemann-Hilbert问题

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s00220-025-05310-9

Tom Bridgeland, Iván Tulli

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Antiferromagnetic Covariance Structure of Coulomb Chain 库仑链的反铁磁协方差结构

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s00220-025-05301-w

Tatyana S. Turova

{"title":"Antiferromagnetic Covariance Structure of Coulomb Chain","authors":"Tatyana S. Turova","doi":"10.1007/s00220-025-05301-w","DOIUrl":"10.1007/s00220-025-05301-w","url":null,"abstract":"<div>We consider a system of particles lined up on a finite interval in a 3-dimensional space with Coulomb interactions between the nearest and next to the nearest neighbours. This model was introduced by Malyshev (Probl Inf Transm 51(1):31–36, 2015) to study the flow of charged particles. The distribution of spacings between the consecutive particles is of interest. Notably, even the nearest-neighbours interactions case, the only one studied previously, was proved to exhibit multiple phase transitions depending on the strength of the external force when the number of particles goes to infinity. Here, assuming zero external force, we show that interactions beyond the nearest ones lead to qualitatively new features of the system. In particular, the order of decay (in terms of the total number of particles) of covariances between the spacings is changed when compared with the former nearest-neighbours case. Furthermore, we discover that the covariances between spacings exhibit the antiferromagnetic property, namely they periodically change sign depending on the parity of the number of spacings between them, while their amplitude decays. In the course of the proof of these results, a conditional Central Limit Theorem for dependent random variables is established.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05301-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Measures, Modular Forms, and Summation Formulas of Poisson Type 泊松型的测度、模形式和求和公式

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s00220-025-05313-6

Claudia Alfes, Paul Kiefer, Jan Mazáč

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Quasi-invariant States with Uniformly Bounded Cocycles 具有一致有界环的拟不变态

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s00220-025-05304-7

Ameur Dhahri, Éric Ricard

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Born Geometry via Künneth Structures and Recursion Operators 通过k<s:1> nneth结构和递归算子生成几何

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-07 DOI: 10.1007/s00220-025-05296-4

M. J. D. Hamilton, D. Kotschick, P. N. Pilatus

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GKZ Discriminant and Multiplicities 判别和多重性

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-07 DOI: 10.1007/s00220-025-05266-w

Jesse Huang, Peng Zhou

{"title":"GKZ Discriminant and Multiplicities","authors":"Jesse Huang, Peng Zhou","doi":"10.1007/s00220-025-05266-w","DOIUrl":"10.1007/s00220-025-05266-w","url":null,"abstract":"<div>Let (T=(mathbb {C}^*)^k) act on (V=mathbb {C}^N) faithfully and preserving the volume form, i.e. ((mathbb {C}^*)^k hookrightarrow text {SL}(V)). On the B-side, we have toric stacks (Z_W) (see Eq. 1.1) labelled by walls W in the GKZ fan, and (Z_{/F}) labelled by faces of a polytope corresponding to minimal semi-orthogonal decomposition (SOD) components. The B-side multiplicity (n^B_{W,F}), well-defined by a result of Kite and Segal (Commun Math Phys 390:907-931, 2022), is the number of times ({{,textrm{Coh},}}(Z_{/F})) appears in a complete SOD of ({{,textrm{Coh},}}(Z_W)). On the A-side, we have the GKZ discriminant loci components (nabla _F subset (mathbb {C}^*)^k), and its tropicalization (nabla ^{trop}_{F} subset mathbb {R}^k). The A-side multiplicity (n^A_{W, F}) is defined as the multiplicity of the tropical complex (nabla ^{trop}_{F}) on wall W. We prove that (n^A_{W,F} = n^B_{W,F }), confirming a conjecture in Kite and Segal (Commun Math Phys 390:907-931, 2022) inspired by (Aspinwall et al. in Mirror symmetry and discriminants, http://arxiv.org/abs/1702.04661, 2017). Our proof is based on the result of Horja and Katzarkov (Discriminants and toric K-theory, http://arxiv.org/abs/2205.00903, 2022) and a lemma about B-side SOD multiplicity, which allows us to reduce to lower dimension just as in A-side (Gelfand et al. in Discriminants, resultants and multidimen sional determinants, Birkahuser, Boston, 1994) [Ch 11].</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Legendre Transformations of a Class of Generalized Frobenius Manifolds and the Associated Integrable Hierarchies 一类广义Frobenius流形及其可积层次的Legendre变换

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-07 DOI: 10.1007/s00220-025-05289-3

Si-Qi Liu, Haonan Qu, Youjin Zhang

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Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions 具有Navier边界条件的无界区域上Couette流的定量水动力稳定性

IF 2.2 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2025-05-07 DOI: 10.1007/s00220-025-05306-5

Ryan Arbon, Jacob Bedrossian

{"title":"Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions","authors":"Ryan Arbon, Jacob Bedrossian","doi":"10.1007/s00220-025-05306-5","DOIUrl":"10.1007/s00220-025-05306-5","url":null,"abstract":"<div>We prove a stability threshold theorem for 2D Navier–Stokes on three unbounded domains: the whole plane (mathbb {R}times mathbb {R}), the half plane (mathbb {R}times [0,infty )) with Navier boundary conditions, and the infinite channel (mathbb {R}times [-1, 1]) with Navier boundary conditions. Starting with the Couette shear flow, we consider initial perturbations (omega _{in}) which are of size (nu ^{1/2}(1+ln (1/nu )^{1/2})^{-1}) in an anisotropic Sobolev space with an additional low frequency control condition for the planar cases. We then demonstrate that such perturbations exhibit inviscid damping of the velocity, as well as enhanced dissipation at x-frequencies (|k| gg nu ) with decay time-scale (O(nu ^{-1/3}|k|^{-2/3})). On the plane and half-plane, we show Taylor dispersion for x-frequencies (|k| ll nu ) with decay time-scale (O(nu |k|^{-2})), while on the channel we show low frequency dispersion for (|k| ll nu ) with decay time-scale (O(nu ^{-1})). Generalizing the work of Bedrossian et al. (Stability threshold of nearly-couette shear flows with Navier boundary conditions in 2d, 2311.00141, 2023) done on (mathbb {T} times [-1,1]), the key contribution of this paper is to perform new nonlinear computations at low frequencies with wave number (|k| lesssim nu ) and at intermediate frequencies with wave number (nu lesssim |k| le 1), and to provide the first enhanced dissipation result for a fully-nonlinear shear flow on an unbounded x-domain. Additionally, we demonstrate that the results of this paper apply equally to solutions of the perturbed (beta )-plane equations from atmospheric dynamics.</div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0