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A problem in materials design is that in natural as well as artificial materials, volume occasionally drops, or surges, with rising temperature. While there are mechanical reasons for this occurrence for certain materials, a general insight into why this occasionally occurs is still lacking.

Dorothy pate enrightZi kui liuElizabeth flores gomez murrayYi wangLi zhangDepartment of energyDepartment of defenseNational science foundationPenn state universityZentropy theory aimsUniversal answerMaterials designElizabeth flores gomezPenn stateKui liuStudy primary investigator