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Hybrid-type synchronization transitions: Where incipient oscillations, scale-free avalanches, and bistability live together 混合型同步转换:其中初始振荡，无标度雪崩和双稳定性共存
arXiv: Statistical Mechanics Pub Date : 2020-11-06 DOI: 10.1103/PhysRevResearch.3.023224
Victor Buend'ia, Pablo Villegas, R. Burioni, M. A. Muñoz
{"title":"Hybrid-type synchronization transitions: Where incipient oscillations, scale-free avalanches, and bistability live together","authors":"Victor Buend'ia, Pablo Villegas, R. Burioni, M. A. Muñoz","doi":"10.1103/PhysRevResearch.3.023224","DOIUrl":"https://doi.org/10.1103/PhysRevResearch.3.023224","url":null,"abstract":"The human cortex is never at rest but in a state of sparse and noisy neural activity. It has been conjectured that such a state is best described as a critical dynamical process -- whose nature is still not fully understood -- where scale-free avalanches of activity emerge at the edge of a synchronization phase transition. Using a simple model of coupled excitable oscillators, we rule out standard phase transitions to explain the emergence of collective oscillations, as they do not suffice to explain current experimental evidence. Conversely, we uncover a novel hybrid-type of synchronization transition displaying a very-rich dynamical repertoire supporting all key empirical observations, including scale-free avalanches, marginal coherence, and bistability.","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88873940","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: 18
The folded spin-1/2 XXZ model: II. Thermodynamics and hydrodynamics with a minimal set of charges 折叠自旋1/2 XXZ模型:热力学和流体力学的最小电荷集
arXiv: Statistical Mechanics Pub Date : 2020-11-02 DOI: 10.21468/SCIPOSTPHYS.10.5.099
Lenart Zadnik, Kemal Bidzhiev, M. Fagotti
{"title":"The folded spin-1/2 XXZ model: II. Thermodynamics and hydrodynamics with a minimal set of charges","authors":"Lenart Zadnik, Kemal Bidzhiev, M. Fagotti","doi":"10.21468/SCIPOSTPHYS.10.5.099","DOIUrl":"https://doi.org/10.21468/SCIPOSTPHYS.10.5.099","url":null,"abstract":"We study the (dual) folded spin-1/2 XXZ model in the thermodynamic limit. We focus, in particular, on a class of local macrostates that includes Gibbs ensembles. We develop a thermodynamic Bethe Ansatz description and work out generalised hydrodynamics at the leading order. Remarkably, in the ballistic scaling limit the junction of two local macrostates results in a discontinuity in the profile of essentially any local observable.","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72824997","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: 32
Entropy production for quasiadiabatic parameter changes dominated by hydrodynamics 流体力学主导的准绝热参数变化的熵产生
arXiv: Statistical Mechanics Pub Date : 2020-10-30 DOI: 10.1103/PHYSREVA.103.033309
Philipp S. Weiss, Dennis Hardt, A. Rosch
{"title":"Entropy production for quasiadiabatic parameter changes dominated by hydrodynamics","authors":"Philipp S. Weiss, Dennis Hardt, A. Rosch","doi":"10.1103/PHYSREVA.103.033309","DOIUrl":"https://doi.org/10.1103/PHYSREVA.103.033309","url":null,"abstract":"A typical strategy of realizing an adiabatic change of a many-particle system is to vary parameters very slowly on a time scale $t_text{r}$ much larger than intrinsic equilibration time scales. In the ideal case of adiabatic state preparation, $t_text{r} to infty$, the entropy production vanishes. In systems with conservation laws, the approach to the adiabatic limit is hampered by hydrodynamic long-time tails, arising from the algebraically slow relaxation of hydrodynamic fluctuations. We argue that the entropy production $Delta S$ of a diffusive system at finite temperature in one or two dimensions is governed by hydrodynamic modes resulting in $Delta S sim 1/sqrt{t_text{r}}$ in $d=1$ and $Delta S sim ln(t_text{r})/t_text{r}$ in $d=2$. In higher dimensions, entropy production is instead dominated by other high-energy modes with $Delta S sim 1/t_text{r}$. In order to verify the analytic prediction, we simulate the non-equilibrium dynamics of a classical two-component gas with point-like particles in one spatial dimension and examine the total entropy production as a function of $t_text{r}$.","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83635934","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
The Renormalization Group 重整化群
arXiv: Statistical Mechanics Pub Date : 2020-10-26 DOI: 10.1142/9789811223433_0010
{"title":"The Renormalization Group","authors":"","doi":"10.1142/9789811223433_0010","DOIUrl":"https://doi.org/10.1142/9789811223433_0010","url":null,"abstract":"","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79614476","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
BACK MATTER 回到问题
arXiv: Statistical Mechanics Pub Date : 2020-10-26 DOI: 10.1142/9789811223433_bmatter
{"title":"BACK MATTER","authors":"","doi":"10.1142/9789811223433_bmatter","DOIUrl":"https://doi.org/10.1142/9789811223433_bmatter","url":null,"abstract":"","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90209725","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
The Micro-Canonical Ensemble 微规范系综
arXiv: Statistical Mechanics Pub Date : 2020-10-26 DOI: 10.1142/9789811223433_0003
{"title":"The Micro-Canonical Ensemble","authors":"","doi":"10.1142/9789811223433_0003","DOIUrl":"https://doi.org/10.1142/9789811223433_0003","url":null,"abstract":"","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78824151","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
FRONT MATTER 前页
arXiv: Statistical Mechanics Pub Date : 2020-10-26 DOI: 10.1142/9789811223433_fmatter
{"title":"FRONT MATTER","authors":"","doi":"10.1142/9789811223433_fmatter","DOIUrl":"https://doi.org/10.1142/9789811223433_fmatter","url":null,"abstract":"","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83806406","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
Foundations of Statistical Mechanics 统计力学基础
arXiv: Statistical Mechanics Pub Date : 2020-10-26 DOI: 10.1142/9789811223433_0002
N. Zanghí
{"title":"Foundations of Statistical Mechanics","authors":"N. Zanghí","doi":"10.1142/9789811223433_0002","DOIUrl":"https://doi.org/10.1142/9789811223433_0002","url":null,"abstract":"","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78779183","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
Phase Transitions 相变
arXiv: Statistical Mechanics Pub Date : 2020-10-26 DOI: 10.1142/9789811223433_0009
Doruk Efe Gökmen
{"title":"Phase Transitions","authors":"Doruk Efe Gökmen","doi":"10.1142/9789811223433_0009","DOIUrl":"https://doi.org/10.1142/9789811223433_0009","url":null,"abstract":"You will, anyway, if you spend any time talking with Jesse Berezovsky, an associate professor of physics at Case Western Reserve University. The longtime science researcher and a part-time viola player has become consumed with understanding and explaining the connective tissue between the two disciplines—more specifically, how the ordered structure of music emerges from the general chaos of sound.","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85035896","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
Fermi-Dirac Statistics 费米狄拉克统计
arXiv: Statistical Mechanics Pub Date : 2020-10-26 DOI: 10.1142/9789811223433_0007
Harleen Kaur, Enrico Fermi, P. A. M. Dirac
{"title":"Fermi-Dirac Statistics","authors":"Harleen Kaur, Enrico Fermi, P. A. M. Dirac","doi":"10.1142/9789811223433_0007","DOIUrl":"https://doi.org/10.1142/9789811223433_0007","url":null,"abstract":"","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87819538","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
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