StatisticalMechanics / CONCEPT
The instability count of a Lennard-Jones chain
For a clamped steady Lennard-Jones chain with positive pre-stretch, positive bond lengths, at least one free particle and k ≥ 1 broken bonds, the positive force-Jacobian eigenvalue count lies between k − 1 and k.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS0
The curvature and dimension argument
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Actual tensor count and the weighted cell sumstructural-affinity · Closed
- An order-19 counterexample to the broom spectral-ratio conjecturestructural-affinity · Closed
- Constructive southeast Bruhat factorsstructural-affinity · Closed
- Exact cell cardinalitystructural-affinity · Closed
- Explicit factors and scalar fibersstructural-affinity · Closed
- Original masked nondegenerate hypermatrix countstructural-affinity · Closed
- Scalar fiber actionstructural-affinity · Closed
- Weil: Sylvesterstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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