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Landau theory of barocaloric plastic crystals

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Peer-reviewed

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Abstract

Abstract

                We present a minimal Landau theory of plastic-to-crystal phase transitions in which the key components are a multipole-moment order parameter that describes the orientational ordering of the constituent molecules, coupling between such order parameter and elastic strains, and thermal expansion. We illustrate the theory with the simplest non-trivial model in which the orientational ordering is described by a quadrupole moment, and use such model to calculate barocaloric effects in plastic crystals that are driven by hydrostatic pressure. The model captures characteristic features of plastic-to-crystal phase transitions, namely large changes in volume and entropy at the transition, as well as the linear dependence of the transition temperature with pressure. We identify temperature regions in the barocaloric response associated with the individual plastic and crystal phases, and those involving the phase transition. Our model is in overall agreement with previous experiments in powdered samples of fullerite C
                60
                , and predicts peak isothermal entropy changes of
                
                  
                    
                  
                  
                    
                      
                        ∼
                      
                      90
                      
                      
                        J
                        
                          K
                          
                            −
                            1
                          
                        
                        
                          kg
                          
                            −
                            1
                          
                        
                      
                    
                  
                
                and peak adiabatic temperature changes of
                
                  
                    
                  
                  
                    
                      
                        ∼
                      
                      35
                      
                      
                        K
                      
                    
                  
                
                under
                
                  
                    
                  
                  
                    
                      0.60
                      
                    
                  
                
                GPa at
                
                  
                    
                  
                  
                    
                      265
                      
                    
                  
                
                K in fullerite single crystals.

Description

Acknowledgements: G G G -V acknowledges helpful feedback and discussions with Pol Lloveras, Enric Stern-Taulats, and Melony Dilshad. G G G -V and R M-D acknowledge support from the Vice-rectory for Research at the University of Costa Rica (project nos. C1601, C0185, and C4601). G G G -V is grateful to Churchill College at the University of Cambridge for hospitality. X M acknowledges funding from the UK EPSRC (Grant Number EP/V042262/1 and EP/M003752/1), ERC Starting Grant (No. 680032) and the Royal Society.


Funder: Vicerrectoría de Investigación, Universidad de Costa Rica; doi: http://dx.doi.org/10.13039/501100005299


Funder: Royal Society; doi: http://dx.doi.org/10.13039/501100000288

Journal Title

Journal of Physics: Energy

Conference Name

Journal ISSN

2515-7655

Volume Title

6

Publisher

IOP Publishing

Rights and licensing

Except where otherwised noted, this item's license is described as Attribution 4.0 International
Sponsorship
EPSRC (EP/M003752/1)
ERC (680032)