New phase transitions for formulas in Łukasiewicz logic

AbstractIt is introduced an immune dynamic n-valued Łukasiewicz logic $$ID{\L }_n$$ I D Ł n on the base of n-valued Łukasiewicz logic $${\L }_n$$ Ł n and corresponding to it immune dynamic $$MV_n$$ M V n -algebra ($$IDL_n$$ I D L n -algebra), $$1< n < \omega $$ 1 < n < ω , which are algebraic counterparts of the logic, that in turn represent two-sorted algebras $$(\mathcal {M}, \mathcal {R}, \Diamond )$$ ( M , R , ◊ ) that combine the varieties of $$MV_n$$ M V n -algebras $$\mathcal {M} = (M, \oplus , \odot , \sim , 0,1)$$ M = ( M , ⊕ , ⊙ , ∼ , 0 , 1 ) and regular algebras $$\mathcal {R} = (R,\cup , ;, ^*)$$ R = ( R , ∪ , ; , ∗ ) into a single finitely axiomatized variety resembling R-module with “scalar” multiplication $$\Diamond $$ ◊ . Kripke semantics is developed for immune dynamic Łukasiewicz logic $$ID{\L }_n$$ I D Ł n with application in immune system.

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1,2-propanediol and 1,3-propanediol homogeneous nucleation rates and phase transitions in the new phase critical embryos

The Journal of Chemical Physics ◽

10.1063/1.481628 ◽

2000 ◽

Vol 112 (22) ◽

pp. 9917-9928 ◽

Cited By ~ 6

Author(s):

M. P. Anisimov ◽

J. A. Koropchak ◽

A. G. Nasibulin ◽

L. V. Timoshina

Keyword(s):

Phase Transitions ◽

Homogeneous Nucleation ◽

New Phase

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Adding Real Coefficients to Łukasiewicz Logic: An Application to Neural Networks

Fuzzy Logic and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-319-03200-9_9 ◽

2013 ◽

pp. 77-85 ◽

Cited By ~ 3

Author(s):

Antonio Di Nola ◽

Brunella Gerla ◽

Ioana Leustean

Keyword(s):

Neural Networks ◽

Łukasiewicz Logic ◽

Lukasiewicz Logic

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Dielectric and Thermal Studies on New Phase Transitions of CsHSO4

Journal of the Physical Society of Japan ◽

10.1143/jpsj.50.3187 ◽

1981 ◽

Vol 50 (10) ◽

pp. 3187-3188 ◽

Cited By ~ 45

Author(s):

Masaru Komukae ◽

Toshio Osaka ◽

Yasuharu Makita ◽

Tohru Ozaki ◽

Kazuyuki Itoh ◽

...

Keyword(s):

Phase Transitions ◽

Thermal Studies ◽

New Phase

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Charge ordering and ferroelectric states in organic quasi-one-dimensional conductors

Journal de Physique IV (Proceedings) ◽

10.1051/jp4:200203379 ◽

2002 ◽

Vol 12 (9) ◽

pp. 133-138

Author(s):

F. Nad ◽

P. Monceau

Keyword(s):

Phase Transitions ◽

Charge Ordering ◽

Electron Interaction ◽

Charge Symmetry ◽

Low Frequencies ◽

One Dimensional ◽

Thermally Activated ◽

Correlated Electron ◽

Temperature Dependences ◽

New Phase

In quasi-one-dimensional (TMTTF)2X conductors [1], where X are the various centro-symmetrical and non-centrosymmetrical anions, by study of temperature dependences of conductance G and dielectric permittivity $\varepsilon '$ at low frequencies we have found anomalies which are characteristic for phase transitions: an abrupt bend on the G(l/T) dependences with thermally activated decrease of G and sharp maxima of the E' near the charge ordering temperature corresponding to the E' divergence according to the Curie law. A number of evidences have been obtained in favor that driving force of these phase transitions is the long range correlated electron interaction yielding the charge ordering along the molecular chains (a lattice version of the Wigner crystal). The anion chains, electrically balanced with molecular chains, are of very importance in the formation and the stabilization of these new phase states. It appears that the form of charge symmetry of the anions determines to a great extent the types of the occurring transitions and the developing ground states.

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Dynamic Łukasiewicz Logic and Dynamic MV-algebras

International Journal of Approximate Reasoning ◽

10.1016/j.ijar.2020.06.003 ◽

2020 ◽

Vol 124 ◽

pp. 103-110

Author(s):

Antonio Di Nola ◽

Revaz Grigolia ◽

Gaetano Vitale

Keyword(s):

Łukasiewicz Logic ◽

Lukasiewicz Logic ◽

Mv Algebras

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Implications of new phase transitions approach onto specific black holes

Modern Physics Letters A ◽

10.1142/s0217732320503265 ◽

2020 ◽

Vol 35 (39) ◽

pp. 2050326

Author(s):

Abdul Jawad ◽

Shahid Chaudhary

Keyword(s):

Black Holes ◽

Phase Transitions ◽

Critical Points ◽

Theoretical Physics ◽

Open Questions ◽

Standard Relation ◽

Classical Gravity ◽

Quantum Interpretation ◽

Thermodynamic Phase ◽

New Phase

Among many open questions in theoretical physics, consistent quantum gravity theory is still a major issue to be solved. Recent major works in phase transitions of black holes (BH) can be helpful for quantum interpretation of classical gravity. We study the new effective method to discuss the thermodynamic phase transitions onto well renowned regular BHs. Ordinary approaches of phase transitions depend upon equation of state and it is impossible to obtain all critical points with ordinary approaches. This study is derived from the slope of temperature versus entropy and it provides the possibility of finding all the critical points analytically. This technique provides pressure, which is different from standard relation of pressure and independent of other thermodynamical relations. We discuss some issues in ordinary methods and provide an easy approach to investigate the critical behavior of thermodynamical quantities. We find out the phase transitions points and horizon radii of non-physical range for BHs. We also use the new thermodynamical relations to briefly study well-known Joule–Thomson (JT) effect on regular BH.

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