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| -rw-r--r-- | frsb_kac-rice.bib | 70 | ||||
| -rw-r--r-- | frsb_kac-rice.tex | 17 |
2 files changed, 80 insertions, 7 deletions
diff --git a/frsb_kac-rice.bib b/frsb_kac-rice.bib index 3c4b031..9a4e17a 100644 --- a/frsb_kac-rice.bib +++ b/frsb_kac-rice.bib @@ -124,6 +124,34 @@ doi = {10.1063/1.5097175} } +@article{Biroli_2016_Breakdown, + author = {Biroli, Giulio and Urbani, Pierfrancesco}, + title = {Breakdown of elasticity in amorphous solids}, + journal = {Nature Physics}, + publisher = {Springer Science and Business Media LLC}, + year = {2016}, + month = {8}, + number = {12}, + volume = {12}, + pages = {1130--1133}, + url = {https://doi.org/10.1038%2Fnphys3845}, + doi = {10.1038/nphys3845} +} + +@article{Biroli_2018_Liu-Nagel, + author = {Biroli, Giulio and Urbani, Pierfrancesco}, + title = {{Liu}-{Nagel} phase diagrams in infinite dimension}, + journal = {SciPost Physics}, + publisher = {Stichting SciPost}, + year = {2018}, + month = {4}, + number = {4}, + volume = {4}, + pages = {020}, + url = {https://doi.org/10.21468%2Fscipostphys.4.4.020}, + doi = {10.21468/scipostphys.4.4.020} +} + @article{Bray_1980_Metastable, author = {Bray, A J and Moore, M A}, title = {Metastable states in spin glasses}, @@ -691,6 +719,34 @@ stochastic localization}, doi = {10.1088/0305-4470/13/5/047} } +@article{Rainone_2015_Following, + author = {Rainone, Corrado and Urbani, Pierfrancesco and Yoshino, Hajime and Zamponi, Francesco}, + title = {Following the Evolution of Hard Sphere Glasses in Infinite Dimensions under External Perturbations: Compression and Shear Strain}, + journal = {Physical Review Letters}, + publisher = {American Physical Society (APS)}, + year = {2015}, + month = {1}, + number = {1}, + volume = {114}, + pages = {015701}, + url = {https://doi.org/10.1103%2Fphysrevlett.114.015701}, + doi = {10.1103/physrevlett.114.015701} +} + +@article{Rainone_2016_Following, + author = {Rainone, Corrado and Urbani, Pierfrancesco}, + title = {Following the evolution of glassy states under external perturbations: the full replica symmetry breaking solution}, + journal = {Journal of Statistical Mechanics: Theory and Experiment}, + publisher = {IOP Publishing}, + year = {2016}, + month = {5}, + number = {5}, + volume = {2016}, + pages = {053302}, + url = {https://doi.org/10.1088%2F1742-5468%2F2016%2F05%2F053302}, + doi = {10.1088/1742-5468/2016/05/053302} +} + @article{Rice_1939_The, author = {Rice, S. O.}, title = {The Distribution of the Maxima of a Random Curve}, @@ -775,6 +831,20 @@ stochastic localization}, doi = {10.1103/physrevlett.117.228001} } +@article{Urbani_2017_Shear, + author = {Urbani, Pierfrancesco and Zamponi, Francesco}, + title = {Shear Yielding and Shear Jamming of Dense Hard Sphere Glasses}, + journal = {Physical Review Letters}, + publisher = {American Physical Society (APS)}, + year = {2017}, + month = {1}, + number = {3}, + volume = {118}, + pages = {038001}, + url = {https://doi.org/10.1103%2Fphysrevlett.118.038001}, + doi = {10.1103/physrevlett.118.038001} +} + @article{Xiao_2022_Probing, author = {Xiao, Hongyi and Liu, Andrea J. and Durian, Douglas J.}, title = {Probing {Gardner} Physics in an Active Quasithermal Pressure-Controlled Granular System of Noncircular Particles}, diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index 6fbe0fb..873f9ae 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -84,13 +84,16 @@ Liao_2019_Hierarchical, Dennis_2020_Jamming, Charbonneau_2015_Numerical, Li_2021_Determining, Seguin_2016_Experimental, Geirhos_2018_Johari-Goldstein, Hammond_2020_Experimental, Albert_2021_Searching} (see, for a review \cite{Berthier_2019_Gardner}). For example, when studying `jamming' at zero -temperature, the question is posed as `on what side of the 1RSB-FRSB -transition are high energy (or low density) states reachable dynamically?' -In the present paper we give a concrete strategy to define unambiguously such -an issue: we consider the local energy minima at a given energy and study their -number and other properties: the solution involves a replica-symmetry breaking -scheme that is well-defined, and corresponds directly to the topological -characteristics of those minima. +temperature, the question is posed as `on what side of the 1RSB--FRSB +transition are high energy (or low density) states reachable dynamically?' One +approach to answering such questions makes use of `state following,' +which tracks metastable thermodynamic configurations to their zero temperature +limit \cite{Rainone_2015_Following, Biroli_2016_Breakdown, +Rainone_2016_Following, Biroli_2018_Liu-Nagel, Urbani_2017_Shear}. In the +present paper we give a purely geometric appoarch: we consider the local energy +minima at a given energy and study their number and other properties: the +solution involves a replica-symmetry breaking scheme that is well-defined, and +corresponds directly to the topological characteristics of those minima. Perhaps the most interesting application of this computation is in the context |