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  1. Article ; Online: Searching for the seat of the soul and its surgical corridors with a perspective on James L. Poppen, René Descartes, and their contributions.

    Goodrich, James Tait

    World neurosurgery

    2014  Volume 82, Issue 3-4, Page(s) 341–343

    MeSH term(s) Humans ; Neurosurgery/history
    Language English
    Publishing date 2014-09
    Publishing country United States
    Document type Comment ; Journal Article
    ZDB-ID 2534351-8
    ISSN 1878-8769 ; 1878-8750
    ISSN (online) 1878-8769
    ISSN 1878-8750
    DOI 10.1016/j.wneu.2013.03.016
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    In stock of ZB MED Cologne/Königswinter

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    Je nach Verfügbarkeit (siehe Angabe bei Bestand)
    bis Jg. 1994: Bestellungen von Artikeln über das Online-Bestellformular
    Jg. 1995 - 2021: Lesesall (1.OG)
    ab Jg. 2022: Lesesaal (EG)

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  2. Article ; Online: Scaling ansatz for the jamming transition.

    Goodrich, Carl P / Liu, Andrea J / Sethna, James P

    Proceedings of the National Academy of Sciences of the United States of America

    2016  Volume 113, Issue 35, Page(s) 9745–9750

    Abstract: We propose a Widom-like scaling ansatz for the critical jamming transition. Our ansatz ... that the jamming transition exhibits an emergent scale invariance, setting the stage for the potential development ... of a renormalization group theory for jamming. ...

    Abstract We propose a Widom-like scaling ansatz for the critical jamming transition. Our ansatz for the elastic energy shows that the scaling of the energy, compressive strain, shear strain, system size, pressure, shear stress, bulk modulus, and shear modulus are all related to each other via scaling relations, with only three independent scaling exponents. We extract the values of these exponents from already known numerical or theoretical results, and we numerically verify the resulting predictions of the scaling theory for the energy and residual shear stress. We also derive a scaling relation between pressure and residual shear stress that yields insight into why the shear and bulk moduli scale differently. Our theory shows that the jamming transition exhibits an emergent scale invariance, setting the stage for the potential development of a renormalization group theory for jamming.
    Language English
    Publishing date 2016-08-10
    Publishing country United States
    Document type Journal Article ; Research Support, Non-U.S. Gov't ; Research Support, U.S. Gov't, Non-P.H.S.
    ZDB-ID 209104-5
    ISSN 1091-6490 ; 0027-8424
    ISSN (online) 1091-6490
    ISSN 0027-8424
    DOI 10.1073/pnas.1601858113
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    Zs.A 1148: Show issues Location:
    Je nach Verfügbarkeit (siehe Angabe bei Bestand)
    bis Jg. 1994: Bestellungen von Artikeln über das Online-Bestellformular
    Jg. 1995 - 2021: Lesesall (1.OG)
    ab Jg. 2022: Lesesaal (EG)

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  3. Article ; Online: Spatial structure of states of self stress in jammed systems.

    Sussman, Daniel M / Goodrich, Carl P / Liu, Andrea J

    Soft matter

    2016  Volume 12, Issue 17, Page(s) 3982–3990

    Abstract: ... in jammed systems, less is known about the spatial structure of the states of self stress. In this work ... in a disordered spring network derived from a jammed packing, and then investigate the spatial structure ...

    Abstract States of self stress, organizations of internal forces in many-body systems that are in equilibrium with an absence of external forces, can be thought of as the constitutive building blocks of the elastic response of a material. In overconstrained disordered packings they have a natural mathematical correspondence with the zero-energy vibrational modes in underconstrained systems. While substantial attention in the literature has been paid to diverging length scales associated with zero- and finite-energy vibrational modes in jammed systems, less is known about the spatial structure of the states of self stress. In this work we define a natural way in which a unique state of self stress can be associated with each bond in a disordered spring network derived from a jammed packing, and then investigate the spatial structure of these bond-localized states of self stress. This allows for an understanding of how the elastic properties of a system would change upon changing the strength or even existence of any bond in the system.
    Language English
    Publishing date 2016-03-21
    Publishing country England
    Document type Journal Article ; Research Support, Non-U.S. Gov't ; Research Support, U.S. Gov't, Non-P.H.S.
    ZDB-ID 2191476-X
    ISSN 1744-6848 ; 1744-683X
    ISSN (online) 1744-6848
    ISSN 1744-683X
    DOI 10.1039/c6sm00094k
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  4. Article ; Online: Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming.

    Graves, Amy L / Nashed, Samer / Padgett, Elliot / Goodrich, Carl P / Liu, Andrea J / Sethna, James P

    Physical review letters

    2016  Volume 116, Issue 23, Page(s) 235501

    Abstract: We study the effect of dilute pinning on the jamming transition. Pinning reduces the average ... contact number needed to jam unpinned particles and shifts the jamming threshold to lower densities ... the jamming threshold in the absence of pins. Finite-size scaling arguments yield these values with associated ...

    Abstract We study the effect of dilute pinning on the jamming transition. Pinning reduces the average contact number needed to jam unpinned particles and shifts the jamming threshold to lower densities, leading to a pinning susceptibility, χ_{p}. Our main results are that this susceptibility obeys scaling form and diverges in the thermodynamic limit as χ_{p}∝|ϕ-ϕ_{c}^{∞}|^{-γ_{p}} where ϕ_{c}^{∞} is the jamming threshold in the absence of pins. Finite-size scaling arguments yield these values with associated statistical (systematic) errors γ_{p}=1.018±0.026(0.291) in d=2 and γ_{p}=1.534±0.120(0.822) in d=3. Logarithmic corrections raise the exponent in d=2 to close to the d=3 value, although the systematic errors are very large.
    Language English
    Publishing date 2016-06-10
    Publishing country United States
    Document type Journal Article
    ZDB-ID 208853-8
    ISSN 1079-7114 ; 0031-9007
    ISSN (online) 1079-7114
    ISSN 0031-9007
    DOI 10.1103/PhysRevLett.116.235501
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  5. Article ; Online: Disordered surface vibrations in jammed sphere packings.

    Sussman, Daniel M / Goodrich, Carl P / Liu, Andrea J / Nagel, Sidney R

    Soft matter

    2015  Volume 11, Issue 14, Page(s) 2745–2751

    Abstract: ... from jammed sphere packings. In bulk systems, without surfaces, it is well understood that such systems have ... the spatial dimension, d, of the system, which vanishes at the jamming transition. In the presence of a free ... ΔZ(-1) as the jamming transition is approached. ...

    Abstract We study the vibrational properties near a free surface of disordered spring networks derived from jammed sphere packings. In bulk systems, without surfaces, it is well understood that such systems have a plateau in the density of vibrational modes extending down to a frequency scale ω*. This frequency is controlled by ΔZ = 〈Z〉 - 2d, the difference between the average coordination of the spheres and twice the spatial dimension, d, of the system, which vanishes at the jamming transition. In the presence of a free surface we find that there is a density of disordered vibrational modes associated with the surface that extends far below ω*. The total number of these low-frequency surface modes is controlled by ΔZ, and the profile of their decay into the bulk has two characteristic length scales, which diverge as ΔZ(-1/2) and ΔZ(-1) as the jamming transition is approached.
    Language English
    Publishing date 2015-04-14
    Publishing country England
    Document type Journal Article
    ZDB-ID 2191476-X
    ISSN 1744-6848 ; 1744-683X
    ISSN (online) 1744-6848
    ISSN 1744-683X
    DOI 10.1039/c4sm02905d
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  6. Article ; Online: Finite-size scaling at the jamming transition.

    Goodrich, Carl P / Liu, Andrea J / Nagel, Sidney R

    Physical review letters

    2012  Volume 109, Issue 9, Page(s) 95704

    Abstract: We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres ... at the transition so that jammed packings exist only above isostaticity. As a result, the canonical power-law ... scaling collapse with a nontrivial scaling function, demonstrating that the jamming transition can be ...

    Abstract We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only above isostaticity. As a result, the canonical power-law scalings of the contact number and elastic moduli break down at low pressure. These quantities exhibit scaling collapse with a nontrivial scaling function, demonstrating that the jamming transition can be considered a phase transition. Scaling is achieved as a function of N in both two and three dimensions, indicating an upper critical dimension of 2.
    Language English
    Publishing date 2012-08-31
    Publishing country United States
    Document type Journal Article
    ZDB-ID 208853-8
    ISSN 1079-7114 ; 0031-9007
    ISSN (online) 1079-7114
    ISSN 0031-9007
    DOI 10.1103/PhysRevLett.109.095704
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  7. Book ; Online: Jamming in finite systems

    Goodrich, Carl P. / Dagois-Bohy, Simon / Tighe, Brian P. / van Hecke, Martin / Liu, Andrea J. / Nagel, Sidney R.

    stability, anisotropy, fluctuations and scaling

    2014  

    Abstract: Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic ... of the transition itself. The situation for jamming is surprisingly rich: the assumption that jammed packings are ... meaning of jamming. Here, we provide a comprehensive numerical study of finite-size effects in sphere ...

    Abstract Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in pressure. As with any phase transition, the rounding of such behavior in finite systems close to the transition plays an important role in understanding the nature of the transition itself. The situation for jamming is surprisingly rich: the assumption that jammed packings are isotropic is only strictly true in the large-size limit, and finite-size has a profound effect on the very meaning of jamming. Here, we provide a comprehensive numerical study of finite-size effects in sphere packings above the jamming transition, focusing on stability as well as the scaling of the contact number and the elastic response.

    Comment: 20 pages, 12 figures
    Keywords Condensed Matter - Soft Condensed Matter ; Condensed Matter - Statistical Mechanics
    Subject code 612
    Publishing date 2014-06-05
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  8. Book ; Online: Stability of jammed packings II

    Schoenholz, Samuel S. / Goodrich, Carl P. / Kogan, Oleg / Liu, Andrea J. / Nagel, Sidney R.

    the transverse length scale

    2013  

    Abstract: ... of spheres exhibits a jamming transition where the system is sensitive to boundary conditions even ... waves and the anomalous vibrational modes associated with the jamming transition; infinitesimal boundary ... the transverse excitations. This previously identified length diverges at the jamming transition. ...

    Abstract As a function of packing fraction at zero temperature and applied stress, an amorphous packing of spheres exhibits a jamming transition where the system is sensitive to boundary conditions even in the thermodynamic limit. Upon further compression, the system should become insensitive to boundary conditions provided it is sufficiently large. Here we explore the linear response to a large class of boundary perturbations in 2 and 3 dimensions. We consider each finite packing with periodic-boundary conditions as the basis of an infinite square or cubic lattice and study properties of vibrational modes at arbitrary wave vector. We find that the stability of such modes be understood in terms of a competition between plane waves and the anomalous vibrational modes associated with the jamming transition; infinitesimal boundary perturbations become irrelevant for systems that are larger than a length scale that characterizes the transverse excitations. This previously identified length diverges at the jamming transition.

    Comment: 8 pages, 5 figures
    Keywords Condensed Matter - Soft Condensed Matter ; Condensed Matter - Statistical Mechanics
    Subject code 612
    Publishing date 2013-01-29
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  9. Article ; Online: Reply to the 'Comment on "Spatial structure of states of self stress in jammed systems"' by E. Lerner, Soft Matter, 2017, 13, DOI.

    Sussman, Daniel M / Hexner, Daniel / Goodrich, Carl P / Liu, Andrea J

    Soft matter

    2017  Volume 13, Issue 8, Page(s) 1532–1533

    Abstract: Lerner's theoretical analysis neglects a normalizing factor which distinguishes states of self stress from the stress response to a unit dipolar force along a bond. This factor leads to different spatial profiles upon ensemble averaging. ...

    Abstract Lerner's theoretical analysis neglects a normalizing factor which distinguishes states of self stress from the stress response to a unit dipolar force along a bond. This factor leads to different spatial profiles upon ensemble averaging.
    Language English
    Publishing date 2017-01-29
    Publishing country England
    Document type Journal Article ; Comment
    ZDB-ID 2191476-X
    ISSN 1744-6848 ; 1744-683X
    ISSN (online) 1744-6848
    ISSN 1744-683X
    DOI 10.1039/c6sm02496c
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  10. Article ; Online: Comment on "Repulsive contact interactions make jammed particulate systems inherently nonharmonic".

    Goodrich, Carl P / Liu, Andrea J / Nagel, Sidney R

    Physical review letters

    2014  Volume 112, Issue 4, Page(s) 49801

    Language English
    Publishing date 2014-01-31
    Publishing country United States
    Document type Comment ; Letter
    ZDB-ID 208853-8
    ISSN 1079-7114 ; 0031-9007
    ISSN (online) 1079-7114
    ISSN 0031-9007
    DOI 10.1103/PhysRevLett.112.049801
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