Critical processes on curved and dynamically evolving manifolds

弯曲和动态演化流形的关键过程

• 批准号: 323217928
• 负责人: Professor Dr. Haye Hinrichsen
• 金额: --
• 依托单位: Lehrstuhl für Theoretische Physik III
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/323217928?language=en
• 关键词: Critical; processes; curved; dynamically; evolving

With the proposed project we would like to investigate equilibrium and in particular non-equilibrium critical phenomena in non-conventional geometries. One focus is the study of critical phenomena on background geometries with curvature. Here the main questions are how the curvature affects the critical behavior, how such systems can be treated both numerically and analytically, and how boundary conditions can be handled appropriately. In addition we intend to study various critical phenomena on dynamically evolving backgrounds. Here the simplest scenario would be a self-inflating or contracting flat space. The aim is to find out how the critical properties depend on the expansion/contraction characteristics. Moreover, it is challenging to implement well-known models with second-order phase transitions numerically in a setup where a regular static lattice cannot be used. Finally, it would be interesting to develop suitable field-theoretical approaches to deal with critical phenomena on dynamically evolving background geometries.

在这个项目中，我们希望研究非传统几何中的平衡，特别是非平衡临界现象。一个重点是研究临界现象的背景几何曲率。这里的主要问题是曲率如何影响临界行为，如何处理这样的系统可以在数值和分析，以及如何边界条件可以适当地处理。此外，我们打算研究动态演变的背景下的各种关键现象。在这里，最简单的情况是自膨胀或收缩的平坦空间。其目的是找出如何的关键属性取决于膨胀/收缩特性。此外，它是具有挑战性的，以实现众所周知的模型与二阶相变数值设置中，不能使用一个规则的静态晶格。最后，这将是有趣的发展合适的场论方法来处理动态演变的背景几何的关键现象。

项目成果

Renormalization of lattice field theories with infinite-range wavelets

无限范围小波晶格场论的重整化

• DOI: 10.1088/1742-5468/ab14d8
• 发表时间: 2019
• 期刊: Journal of Statistical Mechanics: Theory and Experiment
• 作者: P. Fries;I. Reyes;J. Erdmenger;H. Hinrichsen
• 通讯作者: H. Hinrichsen

Entanglement Spectrum of Chiral Fermions on the Torus.

环面上手性费米子的纠缠谱

• DOI: 10.1103/physrevlett.123.211603
• 发表时间: 2019
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: P. Fries;I. A. Reyes
• 通讯作者: I. A. Reyes

Two-dimensional Ising model on random lattices with constant coordination number.

具有恒定配位数的随机晶格的二维 Ising 模型

• DOI: 10.1103/physreve.97.022144
• 发表时间: 2018
• 期刊: Physical review. E
• 作者: M. Schrauth;J. A. J. Richter;J. S. E. Portela
• 通讯作者: J. S. E. Portela

Universality of continuous phase transitions on random Voronoi graphs.

随机 Voronoi 图上连续相变的普遍性

• DOI: 10.1103/physreve.100.062118
• 发表时间: 2019
• 期刊: Physical review. E
• 作者: M. Schrauth;J. S. E. Portela
• 通讯作者: J. S. E. Portela

Violation of the Harris-Barghathi-Vojta Criterion.

违反 Harris-Barghathi-Vojta 标准

• DOI: 10.1103/physrevlett.121.100601
• 发表时间: 2018
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: M. Schrauth;J. S. E. Portela;F. Goth
• 通讯作者: F. Goth