Article
Physics, Fluids & Plasmas
Friedrich Walzel, Alice Requier, Kevin Boschi, Jean Farago, Philippe Fuchs, Fabrice Thalmann, Wiebke Drenckhan, Pierre Muller, Thierry Charitat
Summary: Minimal surface problems are important in soft matter systems dominated by surface or interface energies. This study investigates the influence of nonaxisymmetric parallel frame shapes on the shapes, stability, and mechanical properties of minimal surfaces using a perturbation approach. The predictions are validated against experiments and simulations, showing good agreement. The study also reveals the intriguing capacity of minimal surfaces between nonaxisymmetric frames to transmit a mechanical torque despite being completely liquid, indicating potential applications in mechanical self-assembly and force captors.
Article
Chemistry, Physical
Linghui Jing, Minghao Li, Yao Lu, Shuai Huang
Summary: Droplet-bubble interactions have a significant impact on various applications, but understanding the mechanisms and laws behind these interactions is a challenge due to the complex flow states. This study investigates the wetting mechanism, shape diffusion laws, and controlled impact of droplets on patterned surfaces and showcases the potential application of multilayer soap bubbles as microreactors.
SURFACES AND INTERFACES
(2023)
Article
Multidisciplinary Sciences
Yeoun-Jae Kim, Daehan Wi, Jingyu Kim, Jaesoon Choi
Summary: This article introduces a mini basket type mapping catheter consisting of thin film flexible sensors, which is used in the medical field to measure electrocardiography (ECG) signals for localization and quantization of the heart's physiological condition. The study proposes an on-line thin film buckling configuration determination method using parametric optimization and interpolation technique, validated by mapping catheter sensor prototype test.
SCIENTIFIC REPORTS
(2023)
Article
Computer Science, Software Engineering
Stephanie Wang, Albert Chern
Summary: The algorithm reformulates the problem as a convex optimization, overcoming challenges faced by previous numerical methods, and successfully finds the global minimum across all possible surface topologies. By adopting the Alternating Direction Method of Multiplier (ADMM), it efficiently achieves global minimal surfaces.
ACM TRANSACTIONS ON GRAPHICS
(2021)
Article
Mathematics, Applied
David Moya, Joaquin Perez
Summary: We generalize the classical Henneberg minimal surface by providing an infinite family of complete, finitely branched, non-orientable, stable minimal surfaces in R-3. These surfaces can be classified into subfamilies based on a positive integer called the complexity, which measures the number of branch points. The most symmetric example H-m has an isometry group isomorphic to either the dihedral isometry group D2m+2 (if m is odd) or Dm+1 x Z(2) (if m is even). Moreover, for even m, Hm is the unique solution to the Bjorling problem for a hypocycloid with m + 1 cusps, while for odd m, the conjugate minimal surface H-m(*) to H-m is the unique solution to the Bjorling problem for a hypocycloid with 2m + 2 cusps.
RESULTS IN MATHEMATICS
(2023)
Article
Mathematics, Applied
Muhittin Evren Aydin, Ayla Erdur Kara
Summary: In this paper, we study surfaces with minimal potential energy under gravitational forces, which are called singular minimal surfaces. We prove that a ruled singular minimal surface in a Euclidean 3-space is cylindrical, specifically an alpha-catenary cylinder, based on a result by Lopez. This result is also extended to Lorentz-Minkowski 3-space.
JOURNAL OF GEOMETRY AND PHYSICS
(2024)
Article
Mathematics, Applied
Baris Coskunuzer
Summary: This study demonstrates the existence of smoothly embedded closed minimal surfaces in infinite volume hyperbolic 3-manifolds, with some special cases excluded.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
(2021)
Article
Physics, Multidisciplinary
A. M. Ghezelbash
Summary: In this paper, we construct new brane solutions in M-theory based on minimal surfaces and investigate their properties and characteristics in the framework of eleven-dimensional supergravity. Specifically, we explore the embedding of the anti-self-dual Nutku geometry and the preservation of supersymmetries in these solutions, as well as the fully localized intersecting brane systems obtained upon compactification on a circle. The T-dual and decoupling limits of the solutions are also discussed.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Mathematics
Wenzhong Liu, M. N. Ellingham, Dong Ye
Summary: In this paper, we determine the order of a minimal quadrangulation of a surface Sigma, denoted as n(Sigma), for all types of surfaces. The calculations for n(Sigma) are provided for different surfaces using the introduced 'diagonal technique'. The general features of this method are explained.
JOURNAL OF COMBINATORIAL THEORY SERIES B
(2022)
Article
Astronomy & Astrophysics
Jens Hoppe
Summary: This article discusses the quantization of a class of exact membrane solutions.
Article
Mathematics
Nicolas Marque
Summary: In this paper, we provide an explicit example of a minimal bubble on a Willmore surface, demonstrating that Willmore immersions of energy exceeding 16π cannot be compact. Additionally, we establish an inequality on the 2nd residue for sequences of Willmore immersions with simple minimal bubbles. As a result, we exclude certain gluing configurations and prove compactness for immersed Willmore tori with energy below 12π.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
(2021)
Article
Polymer Science
Christopher W. Haney, Hector R. Siller
Summary: The mechanical behaviors of three lattice structures-Diamond, Gyroid, and Schwarz synthesized through vat polymerization were analyzed to understand their stress-strain responses, energy absorption, and recovery characteristics. The experimental results showed that the AM lattices exhibited mechanical properties that surpassed theoretical predictions, indicating differences between conventional models and experimental outcomes. The Diamond lattice displayed superior stiffness and energy absorption rates, while the Schwarz lattice showed consistent mechanical response. The study emphasized the need for refined models to accurately predict the behaviors of additively manufactured lattices in advanced engineering applications.
Article
Physics, Fluids & Plasmas
Phalguni Shah, Eleanor Ward, Srishti Arora, Michelle M. Driscoll
Summary: We present experimental results on the rupture of colloidal films with varying volume fractions. The films are formed using a constant fluid volume, ruptured manually or spontaneously, and the dynamics are recorded using high-speed imaging. Our findings reveal that even for high colloidal volume fractions, the rupture of colloidal films follows a behavior similar to Newtonian fluids. However, higher-viscosity films exhibit thicker regions away from the boundary at the time of rupture, which may be attributed to viscous stresses slowing down film thinning.
PHYSICAL REVIEW FLUIDS
(2023)
Article
Mathematics, Applied
Hao Chen, Martin Traizet
Summary: Researchers constructed a family of nonperiodic embedded minimal surfaces of infinite genus in T x R, converging to T x R foliated by T, which then lift to minimal surfaces in R-3 that are periodic in horizontal directions but not vertical ones. The construction can be interpreted as disordered stacking of layers of periodically arranged catenoid necks. The richness in variety of disordered minimal surfaces is obtained by equations related to recent studies on the mean field equation and the Painleve VI equation. The work was inspired by experimental observations of twinning defects in periodic minimal surfaces, reproduced as special cases of stacking disorder.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
(2021)
Article
Physics, Multidisciplinary
Christopher Akers, Geoff Penington
Summary: We demonstrate the equivalence between complementary state-specific reconstruction of logical operators and the existence of a quantum minimal surface prescription for physical entropies. We also introduce the concept of emergent bulk geometry for general quantum codes, and formalize a definition of bulk reconstruction called state-specific product unitary reconstruction.
Article
Physics, Multidisciplinary
Luca Giomi
Article
Physics, Particles & Fields
Piermarco Fonda, Luca Giomi, Alberto Salvio, Erik Tonni
JOURNAL OF HIGH ENERGY PHYSICS
(2015)
Article
Physics, Multidisciplinary
Luca Giomi
NEW JOURNAL OF PHYSICS
(2016)
Article
Chemistry, Physical
Arthur J. Vromans, Luca Giomi
Article
Physics, Multidisciplinary
Perry W. Ellis, Daniel J. G. Pearce, Ya-Wen Chang, Guillermo Goldsztein, Luca Giomi, Alberto Fernandez-Nieves
Article
Multidisciplinary Sciences
Luca Giomi, Ziga Kos, Miha Ravnik, Anupam Sengupta
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2017)
Article
Physics, Multidisciplinary
C. Blanch-Mercader, V Yashunsky, S. Garcia, G. Duclos, L. Giomi, P. Silberzan
PHYSICAL REVIEW LETTERS
(2018)
Article
Physics, Multidisciplinary
Luca Giomi, Antonio DeSimone
PHYSICAL REVIEW LETTERS
(2014)
Article
Biology
Heidi S. Fisher, Luca Giomi, Hopi E. Hoekstra, L. Mahadevan
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES
(2014)
Article
Multidisciplinary Sciences
Felix C. Keber, Etienne Loiseau, Tim Sanchez, Stephen J. DeCamp, Luca Giomi, Mark J. Bowick, M. Cristina Marchetti, Zvonimir Dogic, Andreas R. Bausch
Article
Physics, Multidisciplinary
Zhihong You, Daniel J. G. Pearce, Anupam Sengupta, Luca Giomi
Article
Multidisciplinary Sciences
D. J. G. Pearce, L. A. Hoogerbrugge, K. A. Hook, H. S. Fisher, L. Giomi
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2018)
Article
Physics, Multidisciplinary
Wim Pomp, Koen Schakenraad, Hayri E. Balcioglu, Hedde van Hoorn, Erik H. J. Danen, Roeland M. H. Merks, Thomas Schmidt, Luca Giomi
PHYSICAL REVIEW LETTERS
(2018)
Article
Physics, Fluids & Plasmas
Piermarco Fonda, Melissa Rinaldin, Daniela J. Kraft, Luca Giomi
Article
Physics, Fluids & Plasmas
Daniel J. G. Pearce, Luca Giomi